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Transfer Rate Rules and Core Selections in NTU Games

  • Vincent Iehlé

    (CERMSEM, Université Paris 1 Panthéon-Sorbonne)

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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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
Contact details of provider: Web page: http://econwpa.repec.org

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  1. Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2003. "Socially Structured Games and their Applications," Discussion Paper 2003-40, Tilburg University, Center for Economic Research.
  2. Matthew O. Jackson, 2003. "A Survey of Models of Network Formation: Stability and Efficiency," Game Theory and Information 0303011, EconWPA.
  3. Roberto Serrano & Ken-Ichi Shimomura, 2005. "A Comparison Of The Average Prekernel And The Prekernel," Economics Working Papers we055827, Universidad Carlos III, Departamento de Economía.
  4. 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.
  5. 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.
  6. Bennett, Elaine, 1997. "Multilateral Bargaining Problems," Games and Economic Behavior, Elsevier, vol. 19(2), pages 151-179, May.
  7. Qin Cheng-Zhong, 1993. "The Inner Core and the Strictly Inhibitive Set," Journal of Economic Theory, Elsevier, vol. 59(1), pages 96-106, February.
  8. Bonnisseau, Jean-Marc & Iehlé, Vincent, 2007. "Payoff-dependant Balancedness and Cores," Economics Papers from University Paris Dauphine 123456789/89, Paris Dauphine University.
  9. 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).
  10. Bennett, Elaine & Zame, William R, 1988. "Bargaining in Cooperative Games," International Journal of Game Theory, Springer, vol. 17(4), pages 279-300.
  11. 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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