The trade-off between governance and checks and balances

Size: px
Start display at page:

Download "The trade-off between governance and checks and balances"

Transcription

1 The trade-off between governance and checks and balances Alvaro Forteza FCS-UDELAR, Uruguay Juan S. Pereyra ECARES - Université libre de Bruxelles & FNRS decon-fcs Marzo, / 33

2 Political Accountability and C&B Principal Agent Problem: Voters vs Politicians Voters should control politicians to minimize politicians rents and, to align policies to citizens preferences. One important device: Elections (Barro, 1973; Ferejohn, 1986; Besley, 2005) but they may be insufficient Separation of Powers and C&B complement elections 2 / 33

3 Separation of Powers and Checks and Balances Source: Red Millennial.com 3 / 33

4 General Goal Formal model and case studies. Formal model of the trade-off: Governance vs CB ( Horizontal Accountability) How do voters manage this trade-off? Why and when do voters undermine checks on the executive? Acemoglu et al. (2013): Why Do Voters Dismantle CB? CB make politicians cheaper to bribe by elites Plausible only under pro-redistribution executives, but what if the executive is pro elite? Did voters support the dismantling of CB to make leaders more expensive to bribe? (controversial) 4 / 33

5 Are these guys so sophisticated and cynical? 5 / 33

6 Empirical Evidence Democracies have moved to stronger C&B (Besely and Persson, 2011). However, there have been reversals in some countries, let s see... 6 / 33

7 Peru under Fujimori : Economic & Political Crisis 90: Elections April 92: Auto-coup: suspending congress & Overriding judiciary 71% approve closing legislature 80% agree on the restructure of the judiciary July 92: Constitutional Congress (Strong Majority) July 93: New Constitution (less C&B) Unicameral legislature Reelection Presidential legislative power 1995: Reelection 7 / 33

8 Rhetoric The lack of identification of some fundamental institutions with the national interests, like the legislature and the judiciary, blocks the actions of the government oriented to national reconstruction and development. 8 / 33

9 Argentina under Menem : Economic Crisis 1989: Elections Main concern: Judiciary : Reform of the Supreme Court Expand the number of judges (5 to 9) Opaque appointing procedures Automatic Majority April 94: Constitutional convention (majority) Aug 94: New Constitution: Option for reelection 1995: Reelection 9 / 33

10 Judiciary Independence? My only bosses are Perón and Menem I cannot dictate a ruling that is against the government. I only issue rulings that are favorable to administration officials. (Judge Rodolfo Barra) 10 / 33

11 The 2000s: Anti-markets reforms Venezuela under Chavez: : Constitutional Reform (approved by 72%) Unicameral legislature Right to rule by decree Ecuador under Correa: : New constitution (approved by 68%) Allow for reelection 2011: Judiciary Reform:...the President of the Republic is not only the head of the executive power, he is the head of the whole Ecuadorian state, and the Ecuadorian state is the executive power, the legislative power, the judicial power, the electoral power,... Bolivia under Morales: : New Constitution Get rid of super-majorities Remove one-term limit 11 / 33

12 Common themes Strong leaders claiming the need of reforms Rhetoric: CB block reforms Citizens support the loosening of CB Executives vis-a-vis legislative and judiciary Not exclusive of left-wing government: 90s pro-market vs 2000s anti-market But then, Which elements convinced voters to support the loosening of CB? 12 / 33

13 Model: Outline Imperfect Information Game. Exec. and Leg. decide on policy issue and rent extraction. Agencies have a policy bias, like their own rents and dislike rents extracted by the other agency. Agencies observe the state of nature and make proposals (commitment). Voters are uncertain about the state of nature. Referendum to decide on the constitutional rule: CB or SP CB No reform + No rents SP Reform + rents 13 / 33

14 Contribution in a nutshell (cont d) X observes s and may call for referendum on special powers Voters vote for SP iff their expected gains from reform are larger than the costs of rent extraction. Expected gains from reform depend on Importance of policy agenda. Probability that the reform is beneficial. Executive credibility. Commitment. 14 / 33

15 Contribution in a nutshell (cont d) Two types of equilibria with special powers Truth-telling: aligned preferences. Only needed reforms are implemented. Always reform: strong pro-reform bias. Extensions Judiciary instead of Legislature No commitment Elections: endogenous divided government. Model 15 / 33

16 Model I Three players: Voters, Executive (X ), Legislature (L). Two policy dimensions: a policy issue p {0, 1} and r X, r L Two states of Nature s {0, 1}. (q = Pr{s = 1}) Payoffs: Citizens [ v = E s (p s) 2 ] c(r X + r L ), c > 0 Politicians u j = E s [ (p (s + δj )) 2] + a j r j b r j, a j > 0, j {L, X }, and b > 0 16 / 33

17 Model II Constitutional rules: Checks & Balances: Policies: p = p X p 0 if p X = p L if p X p L Executive chooses r [0, r] Legislature chooses r L [0, r]; r X [0, r r L ] Special Powers: Policies: p = p X Executive chooses r X [0, r]; r L [0, r r X ] We focus on a case in which: The status quo policy is p0 = 0. The legislature is conservative (the interesting and likely) case: p L = / 33

18 Timing p 0, s, X, L p X, p L Nature Executive & Legislature CB or SP Voters p, r X, r L t Executive & Legislature 18 / 33

19 Solving the model using backward induction After the referendum: perfect information games between the executive and the legislature 1. With CB: p = p 0 = 0, and r L = r X = With SP: p = p X, r L = 0, and r X = r. Before the referendum: imperfect information game between voters and the executive Equilibrium concept: Perfect Bayesian Equilibrium Extensive form / 33

20 The extensive form referendum game δ 2 X, 0 CB SP δ 2 X + a X r, c r Voters (1 + δ X ) 2, 1 CB SP (1 + δ X ) 2 + a X r, 1 c r 2 δx, 0 CB p X = 0 X p X = 1 s = 0, (1 q) SP (1 δ X ) 2 + a X r, 1 c r N Voters (1 + s = 1, (q) δx ) 2, 1 CB p X = 0 X p X = 1 SP 2 δx + a X r, c r 20 / 33

21 Equilibria with Special Powers Proposition 1 There are two, and only two, PBE with SP: 1. (0, 1, CB, SP) is a PBE iff c r 1 and 1+a X r 2 δ X 1 a X r 2 2. (1, 1, CB, SP) is a PBE iff c r 2q 1 1 and δ X 1 a X r 2 21 / 33

22 Equilibria without Special Powers Proposition 2 There are five, and only five, PBE where SP are never part of the equilibrium outcome. 1. (0, 0, CB, CB) iff c r 2Pr(s = 1 p X = 1) 1; 2. (0, 0, CB, SP) iff c r 2Pr(s = 1 p X = 1) 1 and δ X 1+a X r 2 ; 3. (1, 1, CB, CB) iff c r 2q 1; 4. (0, 1, CB, CB) iff c r 1; 5. (1, 0, CB, CB) is a PBE. (weakly Pareto dominated) 22 / 33

23 Equilibrium Outcomes δ X a X 2c 1 2 SP & reform 2q 1 c 1 c CB & 0 r CB & no reform if s = 0 SP & reform if s = 1 no reform δ X a X 2c 1 2 CB & no reform 1 a X 1 c 0 r CB & no reform if s = 0 SP & reform if s = 1 CB & no reform 1 2 a X 2c CB & no reform 1 2 a X 2c Figure: If q 1 2 Figure: If q > / 33

24 Special Powers at equilibrium Corollary 1 SP are part of the equilibrium outcome if, and only if, 1. Voters expected gains from reform are larger than their utility cost from rent extraction, i.e. if and Pr(s = 1 p X = 1) Pr(s = 0 p X = 1) c r, 2. the incumbent is not strongly pro-status-quo biased: δ X 1 + a X r 2 24 / 33

25 Extensions Judiciary No Commitment Or directly to the Concluding Remarks 25 / 33

26 Extension I: Judiciary Two regimes: 1. CB: 2. SP: p = p 0 r = 0 p = px Executive chooses r X [0, r] Conservative judiciary: always chooses p = p 0. u X = E s [ (p (s + δx )) 2] + a X r X, Back v = E s [ (p s) 2 ] c r X, 26 / 33

27 Extension II: No Commitment There is no information transmission between politicians and voters in the model without policy commitment. δ X SP CB 1 2 SP 0 r SP 2q 1 c q c 1 c CB CB 1 2 CB 27 / 33

28 Extension II: No Commitment (Welfare) Proposition 3 (The effects of commitment on welfare) Without commitment: 1. Voters and executive are weakly better off iff δ X 1 2 a X r 2 2. Voters are weakly worse off, executive is weakly better off iff δ X 1 2 a X r 2 and r q c Graph 3. Both voters and the executive are weakly worse off iff δ X 1 2 a X r 2 and q c r 1 c 4. With other parameter values, commitment has no impact on welfare. Back 28 / 33

29 Concluding Remarks Back to case studies: Why did voters support SP? q rose before these events: 80s: Lost decade 90s: Drawbacks of pro-market reforms Pro-reform leaders (opportunities for corruption?) Qualitative change: From CB and no reform to always reform equilibrium Next Step. Introducing Elections: Political Accountability Through Elections and Checks and Balances 29 / 33

30 Thank you 30 / 33

31 No Commitment I: Better off without commitment δ X SP & reform CB & 1 2 2q 1 c no reform 1 2 a X 2c c 0 r CB & no reform if s = 0 SP & reform if s = 1 CB & no reform q c 1 2 a X 2c Figure: If q > 1 2 Back 31 / 33

32 No Commitment II: Voters worse off without commitment & Executive better off δ X 1 2 SP & reform CB & no reform 1 2 a X 2c c 0 r CB & no reform if s = 0 SP & reform if s = 1 CB & no reform q c 1 2 a X 2c Figure: If q > 1 2 Back 32 / 33

33 No Commitment III: worse off without commitment δ X 1 2 SP & reform CB & no reform 1 c 0 r 1 2 CB & no reform if s = 0 SP & reform if s = 1 CB & no reform q c 1 2 a X 2c Figure: If q > 1 2 Back 33 / 33

Introduction to Political Economy Problem Set 3

Introduction to Political Economy Problem Set 3 Introduction to Political Economy 14.770 Problem Set 3 Due date: Question 1: Consider an alternative model of lobbying (compared to the Grossman and Helpman model with enforceable contracts), where lobbies

More information

PROBLEM SET 6 ANSWERS

PROBLEM SET 6 ANSWERS PROBLEM SET 6 ANSWERS 6 November 2006. Problems.,.4,.6, 3.... Is Lower Ability Better? Change Education I so that the two possible worker abilities are a {, 4}. (a) What are the equilibria of this game?

More information

An introduction on game theory for wireless networking [1]

An introduction on game theory for wireless networking [1] An introduction on game theory for wireless networking [1] Ning Zhang 14 May, 2012 [1] Game Theory in Wireless Networks: A Tutorial 1 Roadmap 1 Introduction 2 Static games 3 Extensive-form games 4 Summary

More information

Game Theory. Wolfgang Frimmel. Repeated Games

Game Theory. Wolfgang Frimmel. Repeated Games Game Theory Wolfgang Frimmel Repeated Games 1 / 41 Recap: SPNE The solution concept for dynamic games with complete information is the subgame perfect Nash Equilibrium (SPNE) Selten (1965): A strategy

More information

Game Theory and Economics Prof. Dr. Debarshi Das Department of Humanities and Social Sciences Indian Institute of Technology, Guwahati.

Game Theory and Economics Prof. Dr. Debarshi Das Department of Humanities and Social Sciences Indian Institute of Technology, Guwahati. Game Theory and Economics Prof. Dr. Debarshi Das Department of Humanities and Social Sciences Indian Institute of Technology, Guwahati. Module No. # 06 Illustrations of Extensive Games and Nash Equilibrium

More information

Easy and Hard Redistribution: The Political Economy of Welfare States in Latin America

Easy and Hard Redistribution: The Political Economy of Welfare States in Latin America Easy and Hard Redistribution: The Political Economy of Welfare States in Latin America Alisha Holland Princeton University Ben Ross Schneider MIT % change in Gini 2000-10 Change in poverty 2000-10* Country

More information

FDPE Microeconomics 3 Spring 2017 Pauli Murto TA: Tsz-Ning Wong (These solution hints are based on Julia Salmi s solution hints for Spring 2015.

FDPE Microeconomics 3 Spring 2017 Pauli Murto TA: Tsz-Ning Wong (These solution hints are based on Julia Salmi s solution hints for Spring 2015. FDPE Microeconomics 3 Spring 2017 Pauli Murto TA: Tsz-Ning Wong (These solution hints are based on Julia Salmi s solution hints for Spring 2015.) Hints for Problem Set 2 1. Consider a zero-sum game, where

More information

Lecture 1: Normal Form Games: Refinements and Correlated Equilibrium

Lecture 1: Normal Form Games: Refinements and Correlated Equilibrium Lecture 1: Normal Form Games: Refinements and Correlated Equilibrium Albert Banal-Estanol April 2006 Lecture 1 2 Albert Banal-Estanol Trembling hand perfect equilibrium: Motivation, definition and examples

More information

Answers to Problem Set 4

Answers to Problem Set 4 Answers to Problem Set 4 Economics 703 Spring 016 1. a) The monopolist facing no threat of entry will pick the first cost function. To see this, calculate profits with each one. With the first cost function,

More information

Lecture 6 Dynamic games with imperfect information

Lecture 6 Dynamic games with imperfect information Lecture 6 Dynamic games with imperfect information Backward Induction in dynamic games of imperfect information We start at the end of the trees first find the Nash equilibrium (NE) of the last subgame

More information

2017 Acumen Edelman Trust Barometer New Zealand Report. Join the conversation #TrustBarometerNZ

2017 Acumen Edelman Trust Barometer New Zealand Report. Join the conversation #TrustBarometerNZ 2017 Acumen Edelman Trust Barometer New Zealand Report Join the conversation #TrustBarometerNZ 2017 Edelman Trust Barometer Methodology Online Survey in 28 Countries General Online Population Informed

More information

Applied Economics. Senior Sophister

Applied Economics. Senior Sophister Applied Economics A Hellenic Tragedy: Greece, the Troika and the Euro - A Game Theory Approach Stephen Garavan Senior Sophister In this paper, Stephen Garavan aptly applies the principles of game theory

More information

Out of equilibrium beliefs and Refinements of PBE

Out of equilibrium beliefs and Refinements of PBE Refinements of PBE Out of equilibrium beliefs and Refinements of PBE Requirement 1 and 2 of the PBE say that no player s strategy can be strictly dominated beginning at any information set. The problem

More information

Coordination Problems

Coordination Problems Coordination Problems 1 / 32 Outline Some Simple Coordination Games Coordination Traps Coordination Failures 2 / 32 A Simple Coordination Game: What Side of the Street? Driver 2 L R Driver 1 l 5, 5 0,

More information

Coordination Problems

Coordination Problems Coordination Problems 1 / 32 A Simple Coordination Game: What Side of the Street? Driver 2 L R Driver 1 l 5, 5 0, 0 r 0, 0 5, 5 Two equilibria: (l, L) and (r, R) Pure coordination game drivers care only

More information

A Model of Vertical Oligopolistic Competition. Markus Reisinger & Monika Schnitzer University of Munich University of Munich

A Model of Vertical Oligopolistic Competition. Markus Reisinger & Monika Schnitzer University of Munich University of Munich A Model of Vertical Oligopolistic Competition Markus Reisinger & Monika Schnitzer University of Munich University of Munich 1 Motivation How does an industry with successive oligopolies work? How do upstream

More information

Microeconomic Theory II Preliminary Examination Solutions Exam date: August 7, 2017

Microeconomic Theory II Preliminary Examination Solutions Exam date: August 7, 2017 Microeconomic Theory II Preliminary Examination Solutions Exam date: August 7, 017 1. Sheila moves first and chooses either H or L. Bruce receives a signal, h or l, about Sheila s behavior. The distribution

More information

Duopoly models Multistage games with observed actions Subgame perfect equilibrium Extensive form of a game Two-stage prisoner s dilemma

Duopoly models Multistage games with observed actions Subgame perfect equilibrium Extensive form of a game Two-stage prisoner s dilemma Recap Last class (September 20, 2016) Duopoly models Multistage games with observed actions Subgame perfect equilibrium Extensive form of a game Two-stage prisoner s dilemma Today (October 13, 2016) Finitely

More information

(a) (5 points) Suppose p = 1. Calculate all the Nash Equilibria of the game. Do/es the equilibrium/a that you have found maximize social utility?

(a) (5 points) Suppose p = 1. Calculate all the Nash Equilibria of the game. Do/es the equilibrium/a that you have found maximize social utility? GAME THEORY EXAM (with SOLUTIONS) January 20 P P2 P3 P4 INSTRUCTIONS: Write your answers in the space provided immediately after each question. You may use the back of each page. The duration of this exam

More information

Econ 101A Final exam May 14, 2013.

Econ 101A Final exam May 14, 2013. Econ 101A Final exam May 14, 2013. Do not turn the page until instructed to. Do not forget to write Problems 1 in the first Blue Book and Problems 2, 3 and 4 in the second Blue Book. 1 Econ 101A Final

More information

Supplementary Material for: Belief Updating in Sequential Games of Two-Sided Incomplete Information: An Experimental Study of a Crisis Bargaining

Supplementary Material for: Belief Updating in Sequential Games of Two-Sided Incomplete Information: An Experimental Study of a Crisis Bargaining Supplementary Material for: Belief Updating in Sequential Games of Two-Sided Incomplete Information: An Experimental Study of a Crisis Bargaining Model September 30, 2010 1 Overview In these supplementary

More information

What we know about monetary policy

What we know about monetary policy Apostolis Philippopoulos What we know about monetary policy The government may have a potentially stabilizing policy instrument in its hands. But is it effective? In other words, is the relevant policy

More information

FIGURE A1.1. Differences for First Mover Cutoffs (Round one to two) as a Function of Beliefs on Others Cutoffs. Second Mover Round 1 Cutoff.

FIGURE A1.1. Differences for First Mover Cutoffs (Round one to two) as a Function of Beliefs on Others Cutoffs. Second Mover Round 1 Cutoff. APPENDIX A. SUPPLEMENTARY TABLES AND FIGURES A.1. Invariance to quantitative beliefs. Figure A1.1 shows the effect of the cutoffs in round one for the second and third mover on the best-response cutoffs

More information

Final Examination December 14, Economics 5010 AF3.0 : Applied Microeconomics. time=2.5 hours

Final Examination December 14, Economics 5010 AF3.0 : Applied Microeconomics. time=2.5 hours YORK UNIVERSITY Faculty of Graduate Studies Final Examination December 14, 2010 Economics 5010 AF3.0 : Applied Microeconomics S. Bucovetsky time=2.5 hours Do any 6 of the following 10 questions. All count

More information

International Coordination and Domestic Politics

International Coordination and Domestic Politics International Coordination and Domestic Politics Kimiko Terai Abstract We examine how international coordination between countries generates a trend to establish an international institution for the provision

More information

The efficient outcome is the one which maximizes total surplus. Suppose a little less than half the people in a town would benefit enormously from a

The efficient outcome is the one which maximizes total surplus. Suppose a little less than half the people in a town would benefit enormously from a Review for final Chapter 9 - political economy 1. What is a social preference? What is a social preference rule? What are the properties of consistent social preferences? Define each property. A social

More information

Exercises Solutions: Game Theory

Exercises Solutions: Game Theory Exercises Solutions: Game Theory Exercise. (U, R).. (U, L) and (D, R). 3. (D, R). 4. (U, L) and (D, R). 5. First, eliminate R as it is strictly dominated by M for player. Second, eliminate M as it is strictly

More information

ECONS 424 STRATEGY AND GAME THEORY HANDOUT ON PERFECT BAYESIAN EQUILIBRIUM- III Semi-Separating equilibrium

ECONS 424 STRATEGY AND GAME THEORY HANDOUT ON PERFECT BAYESIAN EQUILIBRIUM- III Semi-Separating equilibrium ECONS 424 STRATEGY AND GAME THEORY HANDOUT ON PERFECT BAYESIAN EQUILIBRIUM- III Semi-Separating equilibrium Let us consider the following sequential game with incomplete information. Two players are playing

More information

Outline Introduction Game Representations Reductions Solution Concepts. Game Theory. Enrico Franchi. May 19, 2010

Outline Introduction Game Representations Reductions Solution Concepts. Game Theory. Enrico Franchi. May 19, 2010 May 19, 2010 1 Introduction Scope of Agent preferences Utility Functions 2 Game Representations Example: Game-1 Extended Form Strategic Form Equivalences 3 Reductions Best Response Domination 4 Solution

More information

Game theory and applications: Lecture 1

Game theory and applications: Lecture 1 Game theory and applications: Lecture 1 Adam Szeidl September 20, 2018 Outline for today 1 Some applications of game theory 2 Games in strategic form 3 Dominance 4 Nash equilibrium 1 / 8 1. Some applications

More information

CUR 412: Game Theory and its Applications, Lecture 4

CUR 412: Game Theory and its Applications, Lecture 4 CUR 412: Game Theory and its Applications, Lecture 4 Prof. Ronaldo CARPIO March 22, 2015 Homework #1 Homework #1 will be due at the end of class today. Please check the website later today for the solutions

More information

Corporate Governance and Interest Group Politics. Tel-Aviv University

Corporate Governance and Interest Group Politics. Tel-Aviv University Corporate Governance and Interest Group Politics Lucian Bebchuk Harvard University Zvika Neeman Boston University Tel-Aviv University Main Points Paper develops a political economy/interest groups analysis

More information

Political Economy of White Elephants in Oil-Exporting Countries

Political Economy of White Elephants in Oil-Exporting Countries In the Name of God Sharif University of Technology Graduate School of Management Economics Political Economy of White Elephants in Oil-Exporting Countries By: Navid Raeesi Supervisor: Dr. Masoud Nili Spring

More information

MKTG 555: Marketing Models

MKTG 555: Marketing Models MKTG 555: Marketing Models A Brief Introduction to Game Theory for Marketing February 14-21, 2017 1 Basic Definitions Game: A situation or context in which players (e.g., consumers, firms) make strategic

More information

INVESTMENT DYNAMICS IN ELECTRICITY MARKETS Alfredo Garcia, University of Virginia joint work with Ennio Stacchetti, New York University May 2007

INVESTMENT DYNAMICS IN ELECTRICITY MARKETS Alfredo Garcia, University of Virginia joint work with Ennio Stacchetti, New York University May 2007 INVESTMENT DYNAMICS IN ELECTRICITY MARKETS Alfredo Garcia, University of Virginia joint work with Ennio Stacchetti, New York University May 2007 1 MOTIVATION We study resource adequacy as an endogenous

More information

Follow the Leader I has three pure strategy Nash equilibria of which only one is reasonable.

Follow the Leader I has three pure strategy Nash equilibria of which only one is reasonable. February 3, 2014 Eric Rasmusen, Erasmuse@indiana.edu. Http://www.rasmusen.org Follow the Leader I has three pure strategy Nash equilibria of which only one is reasonable. Equilibrium Strategies Outcome

More information

Game Theory Problem Set 4 Solutions

Game Theory Problem Set 4 Solutions Game Theory Problem Set 4 Solutions 1. Assuming that in the case of a tie, the object goes to person 1, the best response correspondences for a two person first price auction are: { }, < v1 undefined,

More information

Simon Fraser University Fall Econ 302 D200 Final Exam Solution Instructor: Songzi Du Wednesday December 16, 2015, 8:30 11:30 AM

Simon Fraser University Fall Econ 302 D200 Final Exam Solution Instructor: Songzi Du Wednesday December 16, 2015, 8:30 11:30 AM Simon Fraser University Fall 2015 Econ 302 D200 Final Exam Solution Instructor: Songzi Du Wednesday December 16, 2015, 8:30 11:30 AM NE = Nash equilibrium, SPE = subgame perfect equilibrium, PBE = perfect

More information

SI 563 Homework 3 Oct 5, Determine the set of rationalizable strategies for each of the following games. a) X Y X Y Z

SI 563 Homework 3 Oct 5, Determine the set of rationalizable strategies for each of the following games. a) X Y X Y Z SI 563 Homework 3 Oct 5, 06 Chapter 7 Exercise : ( points) Determine the set of rationalizable strategies for each of the following games. a) U (0,4) (4,0) M (3,3) (3,3) D (4,0) (0,4) X Y U (0,4) (4,0)

More information

Americas Latinas: revisited

Americas Latinas: revisited Americas Latinas: revisited Global Insight World Economic Outlook Conference Manuel Balmaseda Chief Economist Boston, October 2007 Boston October 2007 1 A New LatAm Sounder Economics Sounder Domestic Policy

More information

Econ 101A Final exam May 14, 2013.

Econ 101A Final exam May 14, 2013. Econ 101A Final exam May 14, 2013. Do not turn the page until instructed to. Do not forget to write Problems 1 in the first Blue Book and Problems 2, 3 and 4 in the second Blue Book. 1 Econ 101A Final

More information

Econ 711 Homework 1 Solutions

Econ 711 Homework 1 Solutions Econ 711 Homework 1 s January 4, 014 1. 1 Symmetric, not complete, not transitive. Not a game tree. Asymmetric, not complete, transitive. Game tree. 1 Asymmetric, not complete, transitive. Not a game tree.

More information

States and Mafias PRELIMINARY. First Version: August 31, 2004 This Version: November 6, Abstract

States and Mafias PRELIMINARY. First Version: August 31, 2004 This Version: November 6, Abstract States and Mafias Ethan Bueno de Mesquita Catherine Hafer PRELIMINARY First Version: August 3, 2004 This Version: November 6, 2004 Abstract We analyze a model of the relationship between a government,

More information

Not 0,4 2,1. i. Show there is a perfect Bayesian equilibrium where player A chooses to play, player A chooses L, and player B chooses L.

Not 0,4 2,1. i. Show there is a perfect Bayesian equilibrium where player A chooses to play, player A chooses L, and player B chooses L. Econ 400, Final Exam Name: There are three questions taken from the material covered so far in the course. ll questions are equally weighted. If you have a question, please raise your hand and I will come

More information

MIDTERM ANSWER KEY GAME THEORY, ECON 395

MIDTERM ANSWER KEY GAME THEORY, ECON 395 MIDTERM ANSWER KEY GAME THEORY, ECON 95 SPRING, 006 PROFESSOR A. JOSEPH GUSE () There are positions available with wages w and w. Greta and Mary each simultaneously apply to one of them. If they apply

More information

Microeconomic Theory August 2013 Applied Economics. Ph.D. PRELIMINARY EXAMINATION MICROECONOMIC THEORY. Applied Economics Graduate Program

Microeconomic Theory August 2013 Applied Economics. Ph.D. PRELIMINARY EXAMINATION MICROECONOMIC THEORY. Applied Economics Graduate Program Ph.D. PRELIMINARY EXAMINATION MICROECONOMIC THEORY Applied Economics Graduate Program August 2013 The time limit for this exam is four hours. The exam has four sections. Each section includes two questions.

More information

Chapter 8. Repeated Games. Strategies and payoffs for games played twice

Chapter 8. Repeated Games. Strategies and payoffs for games played twice Chapter 8 epeated Games 1 Strategies and payoffs for games played twice Finitely repeated games Discounted utility and normalized utility Complete plans of play for 2 2 games played twice Trigger strategies

More information

Summing Up Social Dilemmas

Summing Up Social Dilemmas Summing Up Social Dilemmas 1 / 18 Social Dilemma Types of Intervention Length of Intervention Externality Pigovian tax or subsidy Long Run Regulation Coordination Problem Leadership and Communication Short

More information

(1 p)(1 ε)+pε p(1 ε)+(1 p)ε. ε ((1 p)(1 ε) + pε). This is indeed the case since 1 ε > ε (in turn, since ε < 1/2). QED

(1 p)(1 ε)+pε p(1 ε)+(1 p)ε. ε ((1 p)(1 ε) + pε). This is indeed the case since 1 ε > ε (in turn, since ε < 1/2). QED July 2008 Philip Bond, David Musto, Bilge Yılmaz Supplement to Predatory mortgage lending The key assumption in our model is that the incumbent lender has an informational advantage over the borrower.

More information

Identification and Estimation of Dynamic Games when Players Beliefs are not in Equilibrium

Identification and Estimation of Dynamic Games when Players Beliefs are not in Equilibrium and of Dynamic Games when Players Beliefs are not in Equilibrium Victor Aguirregabiria and Arvind Magesan Presented by Hanqing Institute, Renmin University of China Outline General Views 1 General Views

More information

Advanced Micro 1 Lecture 14: Dynamic Games Equilibrium Concepts

Advanced Micro 1 Lecture 14: Dynamic Games Equilibrium Concepts Advanced Micro 1 Lecture 14: Dynamic Games quilibrium Concepts Nicolas Schutz Nicolas Schutz Dynamic Games: quilibrium Concepts 1 / 79 Plan 1 Nash equilibrium and the normal form 2 Subgame-perfect equilibrium

More information

Monetary and Fiscal History of Peru : Radical Policy Experiments and Inflation

Monetary and Fiscal History of Peru : Radical Policy Experiments and Inflation Monetary and Fiscal History of Peru 1960-2005: Radical Policy Experiments and Inflation César Martinelli (ITAM) Marco Vega (Central Bank of Peru) April 2014 Contents Narrative of the period Stylized facts:

More information

Dynamic Games. Econ 400. University of Notre Dame. Econ 400 (ND) Dynamic Games 1 / 18

Dynamic Games. Econ 400. University of Notre Dame. Econ 400 (ND) Dynamic Games 1 / 18 Dynamic Games Econ 400 University of Notre Dame Econ 400 (ND) Dynamic Games 1 / 18 Dynamic Games A dynamic game of complete information is: A set of players, i = 1,2,...,N A payoff function for each player

More information

Microeconomic Theory May 2013 Applied Economics. Ph.D. PRELIMINARY EXAMINATION MICROECONOMIC THEORY. Applied Economics Graduate Program.

Microeconomic Theory May 2013 Applied Economics. Ph.D. PRELIMINARY EXAMINATION MICROECONOMIC THEORY. Applied Economics Graduate Program. Ph.D. PRELIMINARY EXAMINATION MICROECONOMIC THEORY Applied Economics Graduate Program May 2013 *********************************************** COVER SHEET ***********************************************

More information

Sequential Investment, Hold-up, and Strategic Delay

Sequential Investment, Hold-up, and Strategic Delay Sequential Investment, Hold-up, and Strategic Delay Juyan Zhang and Yi Zhang February 20, 2011 Abstract We investigate hold-up in the case of both simultaneous and sequential investment. We show that if

More information

Sequential Investment, Hold-up, and Strategic Delay

Sequential Investment, Hold-up, and Strategic Delay Sequential Investment, Hold-up, and Strategic Delay Juyan Zhang and Yi Zhang December 20, 2010 Abstract We investigate hold-up with simultaneous and sequential investment. We show that if the encouragement

More information

Understanding and Solving Societal Problems with Modeling and Simulation

Understanding and Solving Societal Problems with Modeling and Simulation Understanding and Solving Societal Problems with Modeling and Simulation Lecture 11: Conflict and War ETH Zurich May 6, 2013 Dr. Thomas Chadefaux Bargaining and Conflict The Puzzle Basic Set-Up Two parties,

More information

EC487 Advanced Microeconomics, Part I: Lecture 9

EC487 Advanced Microeconomics, Part I: Lecture 9 EC487 Advanced Microeconomics, Part I: Lecture 9 Leonardo Felli 32L.LG.04 24 November 2017 Bargaining Games: Recall Two players, i {A, B} are trying to share a surplus. The size of the surplus is normalized

More information

Finite Memory and Imperfect Monitoring

Finite Memory and Imperfect Monitoring Federal Reserve Bank of Minneapolis Research Department Finite Memory and Imperfect Monitoring Harold L. Cole and Narayana Kocherlakota Working Paper 604 September 2000 Cole: U.C.L.A. and Federal Reserve

More information

Dynamic Agenda Setting

Dynamic Agenda Setting Dynamic Agenda Setting (Preliminary and incomplete) Ying Chen Hülya Eraslan April 15, 2015 Abstract A party in power can address only a limited number of issues in an election cycle. What issues to address

More information

EC476 Contracts and Organizations, Part III: Lecture 3

EC476 Contracts and Organizations, Part III: Lecture 3 EC476 Contracts and Organizations, Part III: Lecture 3 Leonardo Felli 32L.G.06 26 January 2015 Failure of the Coase Theorem Recall that the Coase Theorem implies that two parties, when faced with a potential

More information

M.Phil. Game theory: Problem set II. These problems are designed for discussions in the classes of Week 8 of Michaelmas term. 1

M.Phil. Game theory: Problem set II. These problems are designed for discussions in the classes of Week 8 of Michaelmas term. 1 M.Phil. Game theory: Problem set II These problems are designed for discussions in the classes of Week 8 of Michaelmas term.. Private Provision of Public Good. Consider the following public good game:

More information

Prisoner s Dilemma. CS 331: Artificial Intelligence Game Theory I. Prisoner s Dilemma. Prisoner s Dilemma. Prisoner s Dilemma.

Prisoner s Dilemma. CS 331: Artificial Intelligence Game Theory I. Prisoner s Dilemma. Prisoner s Dilemma. Prisoner s Dilemma. CS 331: rtificial Intelligence Game Theory I You and your partner have both been caught red handed near the scene of a burglary. oth of you have been brought to the police station, where you are interrogated

More information

MS&E 246: Lecture 5 Efficiency and fairness. Ramesh Johari

MS&E 246: Lecture 5 Efficiency and fairness. Ramesh Johari MS&E 246: Lecture 5 Efficiency and fairness Ramesh Johari A digression In this lecture: We will use some of the insights of static game analysis to understand efficiency and fairness. Basic setup N players

More information

1 R. 2 l r 1 1 l2 r 2

1 R. 2 l r 1 1 l2 r 2 4. Game Theory Midterm I Instructions. This is an open book exam; you can use any written material. You have one hour and 0 minutes. Each question is 35 points. Good luck!. Consider the following game

More information

Best-Reply Sets. Jonathan Weinstein Washington University in St. Louis. This version: May 2015

Best-Reply Sets. Jonathan Weinstein Washington University in St. Louis. This version: May 2015 Best-Reply Sets Jonathan Weinstein Washington University in St. Louis This version: May 2015 Introduction The best-reply correspondence of a game the mapping from beliefs over one s opponents actions to

More information

Prisoner s dilemma with T = 1

Prisoner s dilemma with T = 1 REPEATED GAMES Overview Context: players (e.g., firms) interact with each other on an ongoing basis Concepts: repeated games, grim strategies Economic principle: repetition helps enforcing otherwise unenforceable

More information

Econ 302 Assignment 3 Solution. a 2bQ c = 0, which is the monopolist s optimal quantity; the associated price is. P (Q) = a b

Econ 302 Assignment 3 Solution. a 2bQ c = 0, which is the monopolist s optimal quantity; the associated price is. P (Q) = a b Econ 302 Assignment 3 Solution. (a) The monopolist solves: The first order condition is max Π(Q) = Q(a bq) cq. Q a Q c = 0, or equivalently, Q = a c, which is the monopolist s optimal quantity; the associated

More information

Multitask, Accountability, and Institutional Design

Multitask, Accountability, and Institutional Design Multitask, Accountability, and Institutional Design Scott Ashworth & Ethan Bueno de Mesquita Harris School of Public Policy Studies University of Chicago 1 / 32 Motivation Multiple executive tasks divided

More information

Game Theory. Important Instructions

Game Theory. Important Instructions Prof. Dr. Anke Gerber Game Theory 2. Exam Summer Term 2012 Important Instructions 1. There are 90 points on this 90 minutes exam. 2. You are not allowed to use any material (books, lecture notes etc.).

More information

w E(Q w) w/100 E(Q w) w/

w E(Q w) w/100 E(Q w) w/ 14.03 Fall 2000 Problem Set 7 Solutions Theory: 1. If used cars sell for $1,000 and non-defective cars have a value of $6,000, then all cars in the used market must be defective. Hence the value of a defective

More information

Ideology and Tax. America. Ernesto Stein Lorena Caro. Regional Seminar on Fiscal Policy Santiago, Chile, March 2013

Ideology and Tax. America. Ernesto Stein Lorena Caro. Regional Seminar on Fiscal Policy Santiago, Chile, March 2013 Ideology and Tax Revenues in Latin America Ernesto Stein Lorena Caro Regional Seminar on Fiscal Policy Santiago, Chile, March 2013 Motivation Shift to the left is probably the most important political

More information

Reputation and Signaling in Asset Sales: Internet Appendix

Reputation and Signaling in Asset Sales: Internet Appendix Reputation and Signaling in Asset Sales: Internet Appendix Barney Hartman-Glaser September 1, 2016 Appendix D. Non-Markov Perfect Equilibrium In this appendix, I consider the game when there is no honest-type

More information

Sequential-move games with Nature s moves.

Sequential-move games with Nature s moves. Econ 221 Fall, 2018 Li, Hao UBC CHAPTER 3. GAMES WITH SEQUENTIAL MOVES Game trees. Sequential-move games with finite number of decision notes. Sequential-move games with Nature s moves. 1 Strategies in

More information

1 Appendix A: Definition of equilibrium

1 Appendix A: Definition of equilibrium Online Appendix to Partnerships versus Corporations: Moral Hazard, Sorting and Ownership Structure Ayca Kaya and Galina Vereshchagina Appendix A formally defines an equilibrium in our model, Appendix B

More information

Ph.D. Preliminary Examination MICROECONOMIC THEORY Applied Economics Graduate Program June 2017

Ph.D. Preliminary Examination MICROECONOMIC THEORY Applied Economics Graduate Program June 2017 Ph.D. Preliminary Examination MICROECONOMIC THEORY Applied Economics Graduate Program June 2017 The time limit for this exam is four hours. The exam has four sections. Each section includes two questions.

More information

CMSC 474, Introduction to Game Theory 16. Behavioral vs. Mixed Strategies

CMSC 474, Introduction to Game Theory 16. Behavioral vs. Mixed Strategies CMSC 474, Introduction to Game Theory 16. Behavioral vs. Mixed Strategies Mohammad T. Hajiaghayi University of Maryland Behavioral Strategies In imperfect-information extensive-form games, we can define

More information

Rent Shifting and the Order of Negotiations

Rent Shifting and the Order of Negotiations Rent Shifting and the Order of Negotiations Leslie M. Marx Duke University Greg Shaffer University of Rochester December 2006 Abstract When two sellers negotiate terms of trade with a common buyer, the

More information

Math 152: Applicable Mathematics and Computing

Math 152: Applicable Mathematics and Computing Math 152: Applicable Mathematics and Computing May 22, 2017 May 22, 2017 1 / 19 Bertrand Duopoly: Undifferentiated Products Game (Bertrand) Firm and Firm produce identical products. Each firm simultaneously

More information

Information and Evidence in Bargaining

Information and Evidence in Bargaining Information and Evidence in Bargaining Péter Eső Department of Economics, University of Oxford peter.eso@economics.ox.ac.uk Chris Wallace Department of Economics, University of Leicester cw255@leicester.ac.uk

More information

A Political Economy Model of Investor Protection

A Political Economy Model of Investor Protection A Political Economy Model of Investor Protection Lucian Bebchuk Zvika Neeman Incomplete Working Draft Last Revised: July, 2005 Abstract We develop a political economy model that analyzes how lobbying by

More information

Legislative Bargaining under a Referendum Threat

Legislative Bargaining under a Referendum Threat Legislative Bargaining under a Referendum Threat Leyla D. Karakas October 13, 2017 Abstract Standard legislative bargaining models assume that an agreed-upon allocation is final, whereas in practice there

More information

ECON 340/ Zenginobuz Fall 2011 STUDY QUESTIONS FOR THE FINAL. x y z w u A u B

ECON 340/ Zenginobuz Fall 2011 STUDY QUESTIONS FOR THE FINAL. x y z w u A u B ECON 340/ Zenginobuz Fall 2011 STUDY QUESTIONS FOR THE FINAL 1. There are two agents, A and B. Consider the set X of feasible allocations which contains w, x, y, z. The utility that the two agents receive

More information

Ph.D. Preliminary Examination MICROECONOMIC THEORY Applied Economics Graduate Program August 2017

Ph.D. Preliminary Examination MICROECONOMIC THEORY Applied Economics Graduate Program August 2017 Ph.D. Preliminary Examination MICROECONOMIC THEORY Applied Economics Graduate Program August 2017 The time limit for this exam is four hours. The exam has four sections. Each section includes two questions.

More information

Simon Fraser University Spring 2014

Simon Fraser University Spring 2014 Simon Fraser University Spring 2014 Econ 302 D200 Final Exam Solution This brief solution guide does not have the explanations necessary for full marks. NE = Nash equilibrium, SPE = subgame perfect equilibrium,

More information

10.1 Elimination of strictly dominated strategies

10.1 Elimination of strictly dominated strategies Chapter 10 Elimination by Mixed Strategies The notions of dominance apply in particular to mixed extensions of finite strategic games. But we can also consider dominance of a pure strategy by a mixed strategy.

More information

Econ 101A Final Exam We May 9, 2012.

Econ 101A Final Exam We May 9, 2012. Econ 101A Final Exam We May 9, 2012. You have 3 hours to answer the questions in the final exam. We will collect the exams at 2.30 sharp. Show your work, and good luck! Problem 1. Utility Maximization.

More information

In the Name of God. Sharif University of Technology. Microeconomics 2. Graduate School of Management and Economics. Dr. S.

In the Name of God. Sharif University of Technology. Microeconomics 2. Graduate School of Management and Economics. Dr. S. In the Name of God Sharif University of Technology Graduate School of Management and Economics Microeconomics 2 44706 (1394-95 2 nd term) - Group 2 Dr. S. Farshad Fatemi Chapter 8: Simultaneous-Move Games

More information

Finite Memory and Imperfect Monitoring

Finite Memory and Imperfect Monitoring Federal Reserve Bank of Minneapolis Research Department Staff Report 287 March 2001 Finite Memory and Imperfect Monitoring Harold L. Cole University of California, Los Angeles and Federal Reserve Bank

More information

Online Appendix. Bankruptcy Law and Bank Financing

Online Appendix. Bankruptcy Law and Bank Financing Online Appendix for Bankruptcy Law and Bank Financing Giacomo Rodano Bank of Italy Nicolas Serrano-Velarde Bocconi University December 23, 2014 Emanuele Tarantino University of Mannheim 1 1 Reorganization,

More information

Inside Outside Information

Inside Outside Information Inside Outside Information Daniel Quigley and Ansgar Walther Presentation by: Gunjita Gupta, Yijun Hao, Verena Wiedemann, Le Wu Agenda Introduction Binary Model General Sender-Receiver Game Fragility of

More information

Budgetary Separation of Powers in the American States: theory and evidence

Budgetary Separation of Powers in the American States: theory and evidence Budgetary Separation of Powers in the American States: theory and evidence Lucas Ferrero and Leandro M. de Magalhães April 5, 26 Abstract In this paper we argue that a divided government has a negative

More information

Econ 414 Midterm Exam

Econ 414 Midterm Exam Econ 44 Midterm Exam Name: There are three questions taken from the material covered so far in the course. All questions are equally weighted. If you have a question, please raise your hand and I will

More information

Dynamic games with incomplete information

Dynamic games with incomplete information Dynamic games with incomplete information Perfect Bayesian Equilibrium (PBE) We have now covered static and dynamic games of complete information and static games of incomplete information. The next step

More information

Econ 892 Taxation Sept 13, Introduction. First Welfare Theorem (illustration by the Edgeworth Box)

Econ 892 Taxation Sept 13, Introduction. First Welfare Theorem (illustration by the Edgeworth Box) Econ 892 Taxation Sept 13, 2011 Introduction First Welfare Theorem (illustration by the Edgeworth Box) The competitive equilibrium (the tangency) is Pareto efficient unless Public goods (positive externality)

More information

5.2 Definitions. pure public good. pure private good. commons: tendency of overusing. nonexcludability. nonrivalry. excludable & rivalry

5.2 Definitions. pure public good. pure private good. commons: tendency of overusing. nonexcludability. nonrivalry. excludable & rivalry 5. Public Goods 5. Definitions pure public good nonexcludability if the public good is supplied, no consumer can be excluded from consuming it nonrivalry consumption of the public good by one consumer

More information

Auditing in the Presence of Outside Sources of Information

Auditing in the Presence of Outside Sources of Information Journal of Accounting Research Vol. 39 No. 3 December 2001 Printed in U.S.A. Auditing in the Presence of Outside Sources of Information MARK BAGNOLI, MARK PENNO, AND SUSAN G. WATTS Received 29 December

More information

CUR 412: Game Theory and its Applications Final Exam Ronaldo Carpio Jan. 13, 2015

CUR 412: Game Theory and its Applications Final Exam Ronaldo Carpio Jan. 13, 2015 CUR 41: Game Theory and its Applications Final Exam Ronaldo Carpio Jan. 13, 015 Instructions: Please write your name in English. This exam is closed-book. Total time: 10 minutes. There are 4 questions,

More information

Social Security Policy Procrastination: A Behavioral Economics Response

Social Security Policy Procrastination: A Behavioral Economics Response Social Security Policy Procrastination: A Behavioral Economics Response John A. Turner Pension Policy Center jaturner49@aol.com [LOGO] (optional) PBSS/IACA Colloquium Cancun 2017 1 U.S. Social Security

More information

The Ohio State University Department of Economics Second Midterm Examination Answers

The Ohio State University Department of Economics Second Midterm Examination Answers Econ 5001 Spring 2018 Prof. James Peck The Ohio State University Department of Economics Second Midterm Examination Answers Note: There were 4 versions of the test: A, B, C, and D, based on player 1 s

More information