The Condorcet Paradox Revisited
AbstractWe analyze the simplest Condorcet cycle with three players and three alternatives within a strategic bargaining model with recognition probabilities and costless delay. Mixed consistent subgame perfect equilibria exist whenever the geometric mean of the agents' risk coefficients, ratios of utility differences between alternatives, is at most one. Equilibria are generically unique, Pareto efficient, and ensure agreement within finite expected time. Agents propose best or second-best alternatives. Agents accept best alternatives, may reject second-best alternatives with positive probability, and reject otherwise. For symmetric recognition probabilities and risk coefficients below one, agreement is immediate and each agent proposes his best alternative.
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Bibliographic InfoPaper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 10-026/1.
Date of creation: 01 Mar 2010
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Bargaining; Condorcet Paradox; Consistent Subgame Perfect Equilibrium; Risk Aversion; Compromise Prone;
Other versions of this item:
- Herings P. Jean-Jacques & Houba Harold, 2010. "The Condercet Paradox Revisited," Research Memorandum 009, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Herings P.J.J. & Houba H, 2013. "The Condorcet paradox revisited," Research Memorandum, Maastricht University, Graduate School of Business and Economics (GSBE) 021, Maastricht University, Graduate School of Business and Economics (GSBE).
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
- D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
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