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The Condorcet Paradox Revisited

P. Jean-Jacques Herings and Harold Houba

No 10-026/1, Tinbergen Institute Discussion Papers from Tinbergen Institute

Abstract: We 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.

Keywords: Bargaining; Condorcet Paradox; Consistent Subgame Perfect Equilibrium; Risk Aversion; Compromise Prone (search for similar items in EconPapers)
JEL-codes: C73 C78 D72 (search for similar items in EconPapers)
Date: 2010-03-01
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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Related works:
Working Paper: The Condorcet paradox revisited (2013) Downloads
Working Paper: The Condercet paradox revisited (2010) Downloads
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