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Transfer Rate Rules and Core Selections in NTU Games

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Author Info

  • Vincent Iehlé

    (CERMSEM, Université Paris 1 Panthéon-Sorbonne)

Abstract

Different kinds of asymmetries between players can occur in core allocations, in that case the stability of the concept is questioned. One remedy consists in selecting robust core allocations. We review, in this note, results that all select core allocations in NTU games with different concepts of robustness. Within a unified approach, we deduce the existence of allocations in: the partnered core, the social stable core, the core intersected with average prekernel, the weak inner core. We use a recent contribution of Bonnisseau and Iehlé (2003) that states the existence of core allocations with a transfer rate rule equilibrium under a dependent balancedness assumption. It shall turn out to be manipulable tools for selecting the core.

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File URL: http://128.118.178.162/eps/game/papers/0411/0411001.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Game Theory and Information with number 0411001.

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Length: 10 pages
Date of creation: 02 Nov 2004
Date of revision:
Handle: RePEc:wpa:wuwpga:0411001

Note: Type of Document - pdf; pages: 10
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Web page: http://128.118.178.162

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Keywords: Cooperative games; dependent balancedness; core selections in NTU games.;

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References

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  1. Herings,P. Jean-Jacques & Laan, van der,Gerard & Talman,Dolf, 2003. "Socially Structured Games and Their Applications," Research Memorandum 024, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  2. Orshan, Gooni & Zarzuelo, Jose M., 2000. "The Bilateral Consistent Prekernel for NTU Games," Games and Economic Behavior, Elsevier, vol. 32(1), pages 67-84, July.
  3. Herings,P. Jean-Jacques & Predtetchinski,Arkadi, 2002. "A Necessary and Sufficient Condition for Non--emptiness of the Core of a Non--transferable Utility Game," Research Memorandum 016, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  4. Qin Cheng-Zhong, 1993. "The Inner Core and the Strictly Inhibitive Set," Journal of Economic Theory, Elsevier, vol. 59(1), pages 96-106, February.
  5. Matthew O. Jackson, 2003. "A survey of models of network formation: Stability and efficiency," Working Papers 1161, California Institute of Technology, Division of the Humanities and Social Sciences.
  6. Bennett, Elaine, 1997. "Multilateral Bargaining Problems," Games and Economic Behavior, Elsevier, vol. 19(2), pages 151-179, May.
  7. Herings, P.J.J. & Laan, G. van der & Talman, A.J.J., 2007. "Socially structured games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-195975, Tilburg University.
  8. Bonnisseau, Jean-Marc & Iehlé, Vincent, 2007. "Payoff-dependant Balancedness and Cores," Economics Papers from University Paris Dauphine 123456789/89, Paris Dauphine University.
  9. Serrano, Roberto & Shimomura, Ken-Ichi, 2006. "A comparison of the average prekernel and the prekernel," Mathematical Social Sciences, Elsevier, vol. 52(3), pages 288-301, December.
  10. Bennett, Elaine & Zame, William R, 1988. "Bargaining in Cooperative Games," International Journal of Game Theory, Springer, vol. 17(4), pages 279-300.
  11. Reny, Philip J. & Holtz Wooders, Myrna, 1996. "The Partnered Core of a Game without Side Payments," Journal of Economic Theory, Elsevier, vol. 70(2), pages 298-311, August.
  12. Qin Cheng-Zhong, 1994. "The Inner Core of an n-Person Game," Games and Economic Behavior, Elsevier, vol. 6(3), pages 431-444, May.
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Cited by:
  1. Jean-Marc Bonnisseau & Vincent Iehle, 2004. "Payoffs-dependent Balancedness and Cores," Game Theory and Information 0403004, EconWPA.
  2. Jean-Marc Bonnisseau & Vincent Iehlé, 2007. "Payoff-dependent balancedness and cores (revised version)," UFAE and IAE Working Papers 678.07, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).

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