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Payoffs-dependent Balancedness and Cores

  • Jean-Marc Bonnisseau

    (University Paris 1, Cermsem)

  • Vincent Iehle

    (University Paris 1, Cermsem)

We provide a result for non-emptiness of the core in NTU games. We use a payoffs-dependent balancedness condition, based on transfer rate mappings. Going beyond the non-emptiness of standard core, existence of some refined solution is proved, including specific core allocations and equilibrium-core allocations in parameterized collection of cooperative games. The proofs borrow mathematical tools and geometric constructions from general equilibrium theory with non convexities. Applications to various extant results taken from game theory and economic theory are given.

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File URL: http://econwpa.repec.org/eps/game/papers/0403/0403004.pdf
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Paper provided by EconWPA in its series Game Theory and Information with number 0403004.

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Length: 32 pages
Date of creation: 28 Mar 2004
Date of revision:
Handle: RePEc:wpa:wuwpga:0403004
Note: Type of Document - pdf; pages: 32
Contact details of provider: Web page: http://econwpa.repec.org

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  1. Vincent Iehlé, 2004. "Transfer rate rules and core selections in NTU games," Economics Bulletin, AccessEcon, vol. 3(42), pages 1-10.
  2. Forges, Françoise & Mertens, Jean-François & Vohra, Rajiv, 2002. "The ex ante incentive compatible core in the absence of wealth effects," Economics Papers from University Paris Dauphine 123456789/5454, Paris Dauphine University.
  3. Bonnisseau, J.M., 1995. "Existence of Equilibria in Economies with Externalities and Non Convexities," Papiers d'Economie Mathématique et Applications 95.45, Université Panthéon-Sorbonne (Paris 1).
  4. Florenzano Monique, 1987. "On the non-emptiness of the core of a coalitional production economy without ordered preferences," CEPREMAP Working Papers (Couverture Orange) 8733, CEPREMAP.
  5. Jean-Marc Bonnisseau & Alexandrine Jamin, 2003. "Equilibria with increasing returns : sufficient conditions on bounded production allocations," Cahiers de la Maison des Sciences Economiques b05045, Université Panthéon-Sorbonne (Paris 1), revised Jun 2005.
  6. Ichiishi,Tatsuro, 1993. "The Cooperative Nature of the Firm," Cambridge Books, Cambridge University Press, number 9780521414449.
  7. Vohra, Rajiv, 1988. "On the existence of equilibria in economies with increasing returns," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 179-192, April.
  8. Ichiishi, Tatsuro & Quinzii, Martine, 1983. "Decentralization for the Core of a Production Economy with Increasing Returns," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(2), pages 397-412, June.
  9. Page Jr., Frank H. & Wooders, Myrna Holtz, 1996. "The Partnered Core of an Economy and the Partnered Competitive Equilibrium," Economics Letters, Elsevier, vol. 52(2), pages 143-152, August.
  10. 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).
  11. Herings, P.J.J. & van der Laan, G. & Talman, A.J.J., 2007. "Socially structured games," Other publications TiSEM c2546c5b-249a-44a8-b917-7, Tilburg University, School of Economics and Management.
  12. Scarf, Herbert E., 1971. "On the existence of a coopertive solution for a general class of N-person games," Journal of Economic Theory, Elsevier, vol. 3(2), pages 169-181, June.
  13. Border, Kim C, 1984. "A Core Existence Theorem for Games without Ordered Preferences," Econometrica, Econometric Society, vol. 52(6), pages 1537-42, November.
  14. Roy Radner & Tatsuro Ichiishi, 1999. "A profit-center game with incomplete information," Review of Economic Design, Springer, vol. 4(4), pages 307-343.
  15. 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.
  16. Bonnisseau, Jean-Marc & Cornet, Bernard, 1988. "Existence of equilibria when firms follow bounded losses pricing rules," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 119-147, April.
  17. Reny, Philip J. & Holtz Wooders, Myrna, 1998. "An extension of the KKMS theorem," Journal of Mathematical Economics, Elsevier, vol. 29(2), pages 125-134, March.
  18. repec:ebl:ecbull:v:3:y:2004:i:42:p:1-10 is not listed on IDEAS
  19. Adam Idzik & Tatsuro Ichiishi, 2002. "On a covering theorem," Economic Theory, Springer, vol. 19(4), pages 833-838.
  20. Shapley, Lloyd & Vohra, Rajiv, 1991. "On Kakutani's Fixed Point Theorem, the K-K-M-S Theorem and the Core of a Balanced Game," Economic Theory, Springer, vol. 1(1), pages 108-16, January.
  21. Boehm, Volker, 1974. "The Limit of the Core of an Economy with Production," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(1), pages 143-48, February.
  22. Ichiishi, Tatsuro, 1981. "A Social Coalitional Equilibrium Existence Lemma," Econometrica, Econometric Society, vol. 49(2), pages 369-77, March.
  23. 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.
  24. Kajii, Atsushi, 1992. "A generalization of Scarf's theorem: An [alpha]-core existence theorem without transitivity or completeness," Journal of Economic Theory, Elsevier, vol. 56(1), pages 194-205, February.
  25. repec:cor:louvrp:-814 is not listed on IDEAS
  26. Boehm, Volker, 1974. "The Core of an Economy with Production," Review of Economic Studies, Wiley Blackwell, vol. 41(3), pages 429-36, July.
  27. 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).
  28. Greenberg, Joseph & Weber, Shlomo, 1986. "Strong tiebout equilibrium under restricted preferences domain," Journal of Economic Theory, Elsevier, vol. 38(1), pages 101-117, February.
  29. Bennett, Elaine & Zame, William R, 1988. "Bargaining in Cooperative Games," International Journal of Game Theory, Springer, vol. 17(4), pages 279-300.
  30. Herbert E. Scarf, 1965. "The Core of an N Person Game," Cowles Foundation Discussion Papers 182R, Cowles Foundation for Research in Economics, Yale University.
  31. 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.
  32. Ichiishi, Tatsuro & Idzik, Adam, 1996. "Bayesian Cooperative Choice of Strategies," International Journal of Game Theory, Springer, vol. 25(4), pages 455-73.
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