June 2009Rationality, Behaviour and Experiments Moscow 1 Building Public Infrastructure in a Representative Democracy Marco Battaglini Princeton University.

Slides:



Advertisements
Similar presentations
1 Analyzing the Case for a Balanced Budget Amendment to the U.S. Constitution Marina Azzimonti University of Texas Marco Battaglini Princeton University.
Advertisements

Funding Public goods with Lotteries: Experimental Evidence John Morgan; Martin Sefton Heriberto Gonzalez October, 2007.
Chapter 14 : Economic Growth
1 The Political Economy of Fiscal Policy: a Dynamic Approach Marco Battaglini Princeton University NBER and CEPR.
Nash Implementation of Lindahl Equilibria Sébastien Rouillon Journées LAGV, 2007.
Ultimatum Game Two players bargain (anonymously) to divide a fixed amount between them. P1 (proposer) offers a division of the “pie” P2 (responder) decides.
Dynamic Programming Rahul Mohare Faculty Datta Meghe Institute of Management Studies.
AN EXPERIMENTAL ANALYSIS OF THE TIEBOUT’S MODEL IN A DECENTRALIZED SYSTEM OF PUBLIC GOODS PROVISION Behavioural and Experimental Economics Workshop I Workshop.
Federal Communications Commission NSMA Spectrum Management Conference May 20, 2008 Market Based Forces and the Radio Spectrum By Mark Bykowsky, Kenneth.
Negotiation A Lesson in Multiagent System Based on Jose Vidal’s book Fundamentals of Multiagent Systems Henry Hexmoor SIUC.
Rational Expectations and the Aggregation of Diverse Information in Laboratory Security Markets Charles R. Plott, Shyam Sunder.
Economic Growth and Dynamic Optimization - The Comeback - Rui Mota – Tel Ext April 2009.
EC941 - Game Theory Prof. Francesco Squintani Lecture 8 1.
Financing of a Public Good by Taxation in a General Equilibrium Economy: Theory and Experimental Evidence Juergen Huber, Martin Shubik and Shyam Sunder.
Lecture 1 A Simple Representative Model: Two Period
Behavioral Finance and Asset Pricing What effect does psychological bias (irrationality) have on asset demands and asset prices?
ELM Part 2- Economic models Manuela Samek
© The McGraw-Hill Companies, 2005 Advanced Macroeconomics Chapter 16 CONSUMPTION, INCOME AND WEALTH.
Yair Zick Joint work with Yoram Bachrach, Ian Kash and Peter Key.
Aging and the Welfare State: A Political Economy Model Assaf Razin, Efraim Sadka and Edith Sand October 2005.
Government Expenditure Composition and Growth in Chile January 2007 Carlos J. García Central Bank of Chile Santiago Herrera World Bank Jorge E. Restrepo.
1 Information Markets & Decision Makers Yiling Chen Anthony Kwasnica Tracy Mullen Penn State University This research was supported by the Defense Advanced.
L9: Consumption, Saving, and Investments 1 Lecture 9: Consumption, Saving, and Investments The following topics will be covered: –Consumption and Saving.
Tools of Analysis for International Trade Models
Linear-Programming Applications
The Agencies Method for Coalition Formation in Experimental Games John Nash (University of Princeton) Rosemarie Nagel (Universitat Pompeu Fabra, ICREA,
A Study of Computational and Human Strategies in Revelation Games 1 Noam Peled, 2 Kobi Gal, 1 Sarit Kraus 1 Bar-Ilan university, Israel. 2 Ben-Gurion university,
Principal - Agent Games. Sometimes asymmetric information develops after a contract has been signed In this case, signaling and screening do not help,
1 Quality, Upgrades and (the Loss of ) Market Power in a Dynamic Monopoly Market James J. Anton Gary Biglaiser Duke University University of North Carolina.
Endogenous growth Sophia Kazinnik University of Houston Economics Department.
Econ 208 Marek Kapicka Lecture 1 Introduction. What is this course about? Analysis of macroeconomic policies Government Spending Taxation and government.
Consumer Choice 16. Modeling Consumer Satisfaction Utility –A measure of relative levels of satisfaction consumers enjoy from consumption of goods and.
Chapter 16 Income Taxation
8 CHAPTER Public Sector Demand PUBLIC SECTOR ECONOMICS: The Role of Government in the American Economy Randall Holcombe.
Growth and Public Infrastructure Nigar Hashimzade University of Reading Gareth D. Myles University of Exeter and Institute for Fiscal Studies.
Chapter 15. Consumption, income and wealth ECON320 Prof Mike Kennedy.
The Role of Immigration in Sustaining the Social Security System: A Political Economy Approach By Edith Sand and Assaf Razin The Eitan Berglas School of.
Modeling Market Failure Chapter 3 © 2004 Thomson Learning/South-Western.
Gomes and Livdan (2004) The authors use a formal dynamic model of a value maximizing firm to show that the main empirical findings about firm diversification.
1 Jekyll & Hyde Marie-Edith Bissey (Università Piemonte Orientale, Italy) John Hey (LUISS, Italy and University of York, UK) Stefania Ottone (Econometica,
REVENUE Revenue Use from Transport Pricing November 2005, Brussels Revenue Use and Infrastructure Funds Andreas Kopp OECD/ECMT Transport Research.
© The McGraw-Hill Companies, 2012 Chapter 3: Decision making Nothing is more difficult, and therefore more precious, than to be able to decide. Napoleon.
Lecture 7 Course Summary The tools of strategy provide guiding principles that that should help determine the extent and nature of your professional interactions.
Ch. 11 General Equilibrium and the Efficiency of Perfect Competition
Banks, Liquidity and Economic Growth Comments on : Gaytán and Ranciere Banks, Liquidity and Economic Growth March 17, 2006 Fabio Braggion Tilburg University.
“When is a State Predatory” James A. Robinson Political economics reading group Carl Henrik Knutsen 17/
Information Theory for Mobile Ad-Hoc Networks (ITMANET): The FLoWS Project Competitive Scheduling in Wireless Networks with Correlated Channel State Ozan.
Sequential decision behavior with reference-point preferences: Theory and experimental evidence - Daniel Schunk - Center for Doctoral Studies in Economics.
Testing theories of fairness— Intentions matter Armin Falk, Ernst Fehr, Urs Fischbacher February 26, 2015.
1 Chapter 22 The Public Sector Key Concepts Key Concepts Summary Practice Quiz Internet Exercises Internet Exercises ©2002 South-Western College Publishing.
Inter-temporal Consumption Choice
Classification Ensemble Methods 1
Bargaining games Econ 414. General bargaining games A common application of repeated games is to examine situations of two or more parties bargaining.
Dynamics of Competition Between Incumbent and Emerging Network Technologies Youngmi Jin (Penn) Soumya Sen (Penn) Prof. Roch Guerin (Penn) Prof. Kartik.
The political economy of government debt Advanced Political Economics Fall 2011 Riccardo Puglisi.
Time inconsistency and credibility Advanced Political Economics Fall 2011 Riccardo Puglisi.
L6: Risk Sharing and Asset Pricing1 Lecture 6: Risk Sharing and Asset Pricing The following topics will be covered: Pareto Efficient Risk Allocation –Defining.
Advanced Political Economics Fall 2013 Riccardo Puglisi Lobbying.
RUPAYAN GUPTA ROGER WILLIAMS UNIVERSITY November 8, 2012 Designing Institutions for Global Security.
Linear Programming Many problems take the form of maximizing or minimizing an objective, given limited resources and competing constraints. specify the.
Exchange Chapter 31 Niklas Jakobsson Click to add notes.
Advanced Political Economics
Lobbying Political Economics Fall 2011 Riccardo Puglisi.
Advanced Political Economics
Advanced Political Economics
Games & Politics Evgeniya Lukinova.
Linear Programming.
The Public Goods Environment
Financing of a Public Good by Taxation in a General Equilibrium Economy: Theory and Experimental Evidence Juergen Huber, Martin Shubik and Shyam Sunder.
Presentation transcript:

June 2009Rationality, Behaviour and Experiments Moscow 1 Building Public Infrastructure in a Representative Democracy Marco Battaglini Princeton University and CEPR Salvatore Nunnari Caltech Thomas Palfrey Caltech

June 2009Rationality, Behaviour and Experiments Moscow 2 New dynamic approach to the political economy of public investment Many public goods are durable and cannot be produced overnight. Call this Public Infrastructure Examples: –Transportation networks –Defense infrastructure Three key features of public infrastructure: –Public good –Durability – current investment has lasting value –Dynamics – takes time to build Public Infrastructure

June 2009Rationality, Behaviour and Experiments Moscow 3 A major function of governments is the development and maintenance of lasting public goods. How do political institutions affect provision? –Federalist systems: Decentralized Provinces, States, Counties, etc. –Centralized/Representative: Legislatures and Parliaments Government and Public Infrastructure

June 2009Rationality, Behaviour and Experiments Moscow 4 Simple infinite horizon model of building public infrastructure. Similar to capital accumulation models Characterize the planner’s (optimal) solution as benchmark Compare Institutions for making these decisions Two models –Centralized (Representative Legislature): Legislative bargaining model –Decentralized (Autarky) Simultaneous independent decision making at district level Theoretical Approach

June 2009Rationality, Behaviour and Experiments Moscow 5 Laboratory Experiments Control the driving parameters (“environment”) of model –Preferences, Technology, Endowments –Mechanism: Rules of the game Incentivize behavior with money Theory gives us predictions –Equilibrium behavior and Time paths of investment –Differences across mechanisms and environments Experiments give us data Compare theory and data Empirical Approach

June 2009Rationality, Behaviour and Experiments Moscow 6 n districts, i=1,…,n each of equal size Infinite horizon. Discrete time Two goods –Private good x –Public good g (durable). Initial level g 0 Public policy in period t: z t =(x t,g t ) where x t =(x t 1,…,x t n ) Each district endowment in each period ω t i =W/n Societal endowment W Endowment can be consumed (x t ) or invested (I t ) Public good technology. Depreciation rate d The Model

June 2009Rationality, Behaviour and Experiments Moscow 7 Feasibility The Model Budget balance Can rewrite Budget balance as: Preferences u´´ () < 0 u´() > 0 u´(0) = ∞ u´(∞) = 0

June 2009Rationality, Behaviour and Experiments Moscow 8 Planner’s Problem (optimum) Notice y≥0 constraint not binding because of Inada conditions Hence rewrite optimization problem as: Denote: value function v p (.) aggregate consumption X=Σx i

June 2009Rationality, Behaviour and Experiments Moscow 9 Denote optimal policy by y^(g). Optimal steady state y p * Three phases: –Rapid growth I t = W –Maintenance of steady state 0 < I t < W –Decline I t ≤ 0 Depends on whether nonnegativity constraint on consumption is binding Optimal Policy

June 2009Rationality, Behaviour and Experiments Moscow 10 Case 1: Constraint binding ¶ Rapid growth –I = W –y t = W + (1-d)g t-1 Case 2: Constraint not binding. Steady state: y* = W + (1-d)g t-1 –Solves: nu´(y*) + v´(y*) = 1 Corresponds to two phases –Maintenance of steady state 0 < I t < W –Decline I t ≤ 0 Optimal Path

June 2009Rationality, Behaviour and Experiments Moscow 11 Switch from growth to maintenance phase at g p Optimal Path

June 2009Rationality, Behaviour and Experiments Moscow 12 Optimal Path

June 2009Rationality, Behaviour and Experiments Moscow 13 Optimal Path Summary of optimal policy:

June 2009Rationality, Behaviour and Experiments Moscow 14 Planner’s solution 1 y*py*p gpgp W 1-d g p /(1-d) y(g) g

June 2009Rationality, Behaviour and Experiments Moscow 15 Planner’s solution 2 y*py*p gpgp W g p /(1-d) y(g) g

June 2009Rationality, Behaviour and Experiments Moscow 16 Optimal Path: Example u(y) = y α / α

June 2009Rationality, Behaviour and Experiments Moscow 17 The Legislative Mechanism Legislature decides policy in each period –Non-negative transfers, x 1,…,x n –Level of public good y= (1-d)g + W – Σx i –Random recognition rule –Proposer offers proposal (x,y) –Committee votes using qualified majority rule (q) –If proposal fails, then y = 0, x i = ω i = W/n for all i

June 2009Rationality, Behaviour and Experiments Moscow 18 The Legislative Mechanism Proposer’s Maximization Problem: Note: (1) Proposal is (x,s,y) (2) s is the private allocation offered to each of the (q-1) other members of the coalition. (3) x is the private allocation to the proposer (4) First constraint is IC: Other members of the coalition are willing to vote for the proposal. (5) v() is the value function for continuing next period at state y.

June 2009Rationality, Behaviour and Experiments Moscow 19 The Legislative Mechanism Proposer’s Maximization Problem: Several cases, depending on state, g=y t-1, and on whether IC is binding.

June 2009Rationality, Behaviour and Experiments Moscow 20

June 2009Rationality, Behaviour and Experiments Moscow 21 In the other case, we have W-y(g)+(1-d)g=0, i.e., x(g)=0. This occurs when g < g1(y 1 *)

June 2009Rationality, Behaviour and Experiments Moscow 22

June 2009Rationality, Behaviour and Experiments Moscow 23 IC Binding s > 0 CASE

June 2009Rationality, Behaviour and Experiments Moscow 24 IC Binding s = 0 CASE

June 2009Rationality, Behaviour and Experiments Moscow 25 LEGISLATIVE MECHANISM INVESTMENT FUNCTION Note: Investment function is not monotonically decreasing! Investment is increasing in third region g 2 < g < g 3

June 2009Rationality, Behaviour and Experiments Moscow 26 y*1y*1 g1g1 1 g3g3 g2g2 y*2y*2 y * 2 /(1-d) 45 o Legislative Mechanism 1

June 2009Rationality, Behaviour and Experiments Moscow 27 y*1y*1 g1g1 1 g3g3 g2g2 y*2y*2 y * 2 /(1-d) q’>q Legislative Mechanism 1

June 2009Rationality, Behaviour and Experiments Moscow 28 y*1y*1 g1g1 1 g3g3 g2g2 y*2y*2 y * 2 /(1-d) 45 o Legislative Mechanism 2

June 2009Rationality, Behaviour and Experiments Moscow 29 y*1y*1 g1g1 1 g3g3 g2g2 y*2y*2 y * 2 /(1-d) 45 o Legislative Mechanism 3

June 2009Rationality, Behaviour and Experiments Moscow 30 LEGISLATIVE MECHANISM VALUE FUNCTION Note: Value function is monotonically increasing! Investment is increasing in third region g 2 < g < g 3

June 2009Rationality, Behaviour and Experiments Moscow 31 LEGISLATIVE MECHANISM VALUE FUNCTION Relationship between v and (y 1 *,y 2 *)

June 2009Rationality, Behaviour and Experiments Moscow 32 Illustration of Legislative Bargaining Equilibrium –u=2y 1/2 –n=3 –q=2 –W=15 –δ=.75 –d=0

June 2009Rationality, Behaviour and Experiments Moscow 33 COMPUTING THE EQUILIBRIUM Exploit the relationship between v and (y 1 *,y 2 *)

June 2009Rationality, Behaviour and Experiments Moscow 34 The Autarky Mechanism In each period, each district simultaneously decides it’s own policy for how to divide ω i = W/n between private consumption and public good investment. District can disinvest up to 1/n share of g Symmetric Markov perfect equilibrium

June 2009Rationality, Behaviour and Experiments Moscow 35 The Autarky Mechanism District’s Maximization Problem: For each g, a district chooses the district-optimal feasible x i taking as given that other districts’ current decision is given by x(g), and assuming that all districts’ future decisions in the future are given by x(g) A symmetric equilibrium is a district-consumption function x(g)

June 2009Rationality, Behaviour and Experiments Moscow 36 The Autarky Mechanism

June 2009Rationality, Behaviour and Experiments Moscow 37 The Autarky Mechanism

June 2009Rationality, Behaviour and Experiments Moscow 38 The Autarky Mechanism Example with power utility function u = By α /α: In planner’s solution, the denominator equals 1-(1-d)δ [Typo: Exponent Should be 1/(1-α)]

June 2009Rationality, Behaviour and Experiments Moscow 39 y*vy*v gVgV 1 1-d Autarky Mechanism

June 2009Rationality, Behaviour and Experiments Moscow 40 Summary of theory and possible extensions New Approach to the Political Economy of Public Investment. Applies equally as a model of capital accumulation Centralized representative system much better than decentralized Still significant inefficiencies with majority rule Higher q leads to greater efficiency theoretically Why not q=n? Model can be extended to other political institutions –Elections –Regional aggregation (subnational) –Different legislative institutions (parties, etc.) Model can be extended to allow for more complex economic institutions –Debt and taxation, Multiple projects, Heterogeneity

June 2009Rationality, Behaviour and Experiments Moscow 41 Experimental Design

June 2009Rationality, Behaviour and Experiments Moscow 42 Experimental Design

June 2009Rationality, Behaviour and Experiments Moscow 43 Experiment Implementation Discount factor implemented by random stopping rule. (pr{continue}=.75) Game durations from 1 period to 13 periods in our data Multiple committees simultaneously processed (5x3 and 3x4) Payoffs rescaled to allow fractional decisions Caltech subjects. Experiments conducted at SSEL Multistage game software package 10 matches in each session Subjects paid the sum of earnings in all periods of all matches Total earnings ranged from $20 to $50 Sessions lasted between 1 and 2 hours

June 2009Rationality, Behaviour and Experiments Moscow 44 Sample Screens: Legislative Mechanism

June 2009Rationality, Behaviour and Experiments Moscow 45

June 2009Rationality, Behaviour and Experiments Moscow 46

June 2009Rationality, Behaviour and Experiments Moscow 47

June 2009Rationality, Behaviour and Experiments Moscow 48

June 2009Rationality, Behaviour and Experiments Moscow 49 Sample Screens: Autarky Mechanism

June 2009Rationality, Behaviour and Experiments Moscow 50

June 2009Rationality, Behaviour and Experiments Moscow 51

June 2009Rationality, Behaviour and Experiments Moscow 52

June 2009Rationality, Behaviour and Experiments Moscow 53 RESULTS

June 2009Rationality, Behaviour and Experiments Moscow 54 L5 – ALL COMMITTEE PATHS. PERIOD 1

June 2009Rationality, Behaviour and Experiments Moscow 55 L5 – ALL COMMITTEE PATHS. PERIOD 2

June 2009Rationality, Behaviour and Experiments Moscow 56 L5 – ALL COMMITTEE PATHS. PERIOD 3

June 2009Rationality, Behaviour and Experiments Moscow 57 L5 – ALL COMMITTEE PATHS. PERIOD 4

June 2009Rationality, Behaviour and Experiments Moscow 58 L5 – ALL COMMITTEE PATHS. PERIOD 5

June 2009Rationality, Behaviour and Experiments Moscow 59 L5 – ALL COMMITTEE PATHS. PERIOD 6

June 2009Rationality, Behaviour and Experiments Moscow 60 L5 – ALL COMMITTEE PATHS. ALL PERIODS

June 2009Rationality, Behaviour and Experiments Moscow 61 A5 – ALL COMMITTEE PATHS. PERIOD 1

June 2009Rationality, Behaviour and Experiments Moscow 62 A5 – ALL COMMITTEE PATHS. PERIOD 2

June 2009Rationality, Behaviour and Experiments Moscow 63 A5 – ALL COMMITTEE PATHS. PERIOD 3

June 2009Rationality, Behaviour and Experiments Moscow 64 A5 – ALL COMMITTEE PATHS. PERIOD 4

June 2009Rationality, Behaviour and Experiments Moscow 65 A5 – ALL COMMITTEE PATHS. PERIOD 5

June 2009Rationality, Behaviour and Experiments Moscow 66

June 2009Rationality, Behaviour and Experiments Moscow 67 A3 – ALL COMMITTEE PATHS. PERIOD 1

June 2009Rationality, Behaviour and Experiments Moscow 68 A3 – ALL COMMITTEE PATHS. PERIOD 2

June 2009Rationality, Behaviour and Experiments Moscow 69 A3 – ALL COMMITTEE PATHS. PERIOD 3

June 2009Rationality, Behaviour and Experiments Moscow 70 A3 – ALL COMMITTEE PATHS. PERIOD 4

June 2009Rationality, Behaviour and Experiments Moscow 71 A3 – ALL COMMITTEE PATHS. PERIOD 5

June 2009Rationality, Behaviour and Experiments Moscow 72

June 2009Rationality, Behaviour and Experiments Moscow 73 L3 – ALL COMMITTEE PATHS. PERIOD 1

June 2009Rationality, Behaviour and Experiments Moscow 74 L3 – ALL COMMITTEE PATHS. PERIOD 2

June 2009Rationality, Behaviour and Experiments Moscow 75 L3 – ALL COMMITTEE PATHS. PERIOD 3

June 2009Rationality, Behaviour and Experiments Moscow 76 L3 – ALL COMMITTEE PATHS. PERIOD 4

June 2009Rationality, Behaviour and Experiments Moscow 77 L3 – ALL COMMITTEE PATHS. PERIOD 5

June 2009Rationality, Behaviour and Experiments Moscow 78 L3 – ALL COMMITTEE PATHS. PERIOD 6

June 2009Rationality, Behaviour and Experiments Moscow 79

June 2009Rationality, Behaviour and Experiments Moscow 80 Median Time Paths

June 2009Rationality, Behaviour and Experiments Moscow 81 Autarky Median Time Paths

June 2009Rationality, Behaviour and Experiments Moscow 82 5 person committees Legislative vs. Autarky

June 2009Rationality, Behaviour and Experiments Moscow 83 3 person committees Legislative vs. Autarky

June 2009Rationality, Behaviour and Experiments Moscow 84 Legislative Median Time Paths

June 2009Rationality, Behaviour and Experiments Moscow 85 Median Time Paths of g

June 2009Rationality, Behaviour and Experiments Moscow 86 Investment Paths (includes conditional and failed proposals)

June 2009Rationality, Behaviour and Experiments Moscow 87 Investment function for L3

June 2009Rationality, Behaviour and Experiments Moscow 88 Investment function for L5

June 2009Rationality, Behaviour and Experiments Moscow 89 Investment function for A3

June 2009Rationality, Behaviour and Experiments Moscow 90 Investment function for A5

June 2009Rationality, Behaviour and Experiments Moscow 91 Investment Paths as a function of the State

June 2009Rationality, Behaviour and Experiments Moscow 92 Investment function L3

June 2009Rationality, Behaviour and Experiments Moscow 93

June 2009Rationality, Behaviour and Experiments Moscow 94

June 2009Rationality, Behaviour and Experiments Moscow 95

June 2009Rationality, Behaviour and Experiments Moscow 96 L5 – ALL COMMITTEE PATHS. ALL PERIODS

June 2009Rationality, Behaviour and Experiments Moscow 97 Voting Behavior

June 2009Rationality, Behaviour and Experiments Moscow 98 L5 – PROPOSAL ACCEPTANCE RATES –Inv=W is common –Pork to all is common with investment –MWC most common with no investment –Rejection declines over first six rounds –Negative investment only with high g –Types commonly rejected –Pork only to proposer –Negative investment –Even with pork to all

June 2009Rationality, Behaviour and Experiments Moscow 99 L3 – PROPOSAL ACCEPTANCE RATES low –Inv=W is common –Pork to all is common (often token) –MWC less common –Rejection declines over first six rounds –Negative investment only with high g –Types commonly rejected –Pork only to proposer –Negative investment –Even with pork to all

June 2009Rationality, Behaviour and Experiments Moscow 100 VOTING BEHAVIOR ACCEPTANCE RATES

June 2009Rationality, Behaviour and Experiments Moscow 101 VOTING BEHAVIOR ACCEPTANCE RATES Test for stationary behavior

June 2009Rationality, Behaviour and Experiments Moscow 102 PROPOSAL BEHAVIOR: PORK TO PREVIOUS PROPOSER Test for stationary behavior PUNISHMENT AND REWARD

June 2009Rationality, Behaviour and Experiments Moscow 103 Summary New Approach to Political Economy of Public Investment. Centralized system theoretically better than decentralized Important role for centralized representative government Still, significant inefficiencies with majority rule Higher q leads to greater efficiency theoretically Laboratory trajectories of public good close to theoretical model Centralized representative voting mechanism leads to big efficiency gains Suggests value of applying framework to a much wider variety of institutions and environments. Role of repeated game effects – non-Markov behavior –Statistically significant. Affects a few committees (higher investment) –Economically significant? Not much. Small in these experiments

June 2009Rationality, Behaviour and Experiments Moscow 104 Investment function L5 Some outliers excluded