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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.

Suggested Citation

  • Demange, Gabrielle, 1987. "Nonmanipulable Cores," Econometrica, Econometric Society, vol. 55(5), pages 1057-1074, September.
  • Handle: RePEc:ecm:emetrp:v:55:y:1987:i:5:p:1057-74
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    Cited by:

    1. Ehlers, Lars, 2007. "Von Neumann-Morgenstern stable sets in matching problems," Journal of Economic Theory, Elsevier, vol. 134(1), pages 537-547, May.
    2. 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.
    3. Demange, Gabrielle, 2009. "The strategy structure of some coalition formation games," Games and Economic Behavior, Elsevier, vol. 65(1), pages 83-104, January.
    4. Carmelo Rodríguez-Álvarez, 2006. "Candidate Stability and Voting Correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(3), pages 545-570, December.
    5. Avishay Aiche & Hovav Perets & Benyamin Shitovitz, 2016. "Strategic and stable pollution with finite set of economic agents and a finite set of consumption commodities: a Pareto comparison," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(1), pages 53-59, April.
    6. Diss, Mostapha & Doghmi, Ahmed & Tlidi, Abdelmonaim, 2015. "Strategy proofness and unanimity in private good economies with single-peaked preferences," MPRA Paper 75469, University Library of Munich, Germany, revised 06 Dec 2016.
    7. Csóka, Péter & Jean-Jacques Herings, P. & Kóczy, László Á. & Pintér, Miklós, 2011. "Convex and exact games with non-transferable utility," European Journal of Operational Research, Elsevier, vol. 209(1), pages 57-62, February.
    8. Norovsambuu Tumennasan, 2014. "Moral hazard and stability," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(3), pages 659-682, October.
    9. Masashi Umezawa, 2009. "Coalitionally strategy-proof social choice correspondences and the Pareto rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(1), pages 151-158, June.
    10. Gabrielle Demange, 2006. "The strategy structure of some coalition formation games," Working Papers halshs-00590290, HAL.
    11. Jinpeng Ma, 1998. "Strategic Formation of Coalitions," Discussion Papers 1225, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    12. Einy, Ezra & Holzman, Ron & Monderer, Dov & Shitovitz, Benyamin, 1996. "Core equivalence theorems for infinite convex games," UC3M Working papers. Economics 3965, Universidad Carlos III de Madrid. Departamento de Economía.
    13. 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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