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Nonmanipulable Cores

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  • Demange, Gabrielle

Abstract

An effectivity function describes the blocking power of coalitions on subsets of alternatives. Given a preference profile, if any coalition blocks an alternative whenever it can, using its own power and making all of its members better off, only alternatives in the core can be reached. In this paper, the author studies the incen tives of the coalitions to use this power truthfully, i.e., to not ma nipulate. Some wellknown cores, among them the core of an exchange ec onomy, are manipulable. The author gives sufficient conditions on an effectivity function that assures its core is nonmanipulable. Copyright 1987 by The Econometric Society.

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Bibliographic Info

Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 55 (1987)
Issue (Month): 5 (September)
Pages: 1057-74

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Handle: RePEc:ecm:emetrp:v:55:y:1987:i:5:p:1057-74

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Cited by:
  1. Masashi Umezawa, 2009. "Coalitionally strategy-proof social choice correspondences and the Pareto rule," Social Choice and Welfare, Springer, vol. 33(1), pages 151-158, June.
  2. Rodriguez-Alvarez, Carmelo, 2003. "Candidate Stability And Voting Correspondences," The Warwick Economics Research Paper Series (TWERPS) 666, University of Warwick, Department of Economics.
  3. Gabrielle Demange, 2006. "The strategy structure of some coalition formation games," PSE Working Papers halshs-00590290, HAL.
  4. Csóka Péter & Herings P. Jean-Jacques & Kóczy László Á. & Pintér Miklós, 2009. "Convex and Exact Games with Non-transferable Utility," Research Memorandum 031, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  5. Jinpeng Ma, 1998. "Strategic Formation of Coalitions," Departmental Working Papers 199810, Rutgers University, Department of Economics.
  6. Stefano Vannucci, 2004. "A Coalitional Game-Theoretic Model of Stable Government Forms with Umpires," Department of Economics University of Siena 437, Department of Economics, University of Siena.
  7. Gabrielle Demange, 2006. "The strategy structure of some coalition formation games," Working Papers halshs-00590290, HAL.
  8. Einy, Ezra & Holzman, Ron & Monderer, Dov & Shitovitz, Benyamin, 1997. "Core Equivalence Theorems for Infinite Convex Games," Journal of Economic Theory, Elsevier, vol. 76(1), pages 1-12, September.

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