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Payoffs-dependent Balancedness and Cores

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Author Info
Jean-Marc Bonnisseau (University Paris 1, Cermsem)
Vincent Iehle (University Paris 1, Cermsem)

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Abstract

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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Publisher Info
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
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Web page: http://129.3.20.41

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Related research
Keywords: Cooperative games; Core solutions; Non-emptiness;

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Find related papers by JEL classification:
C60 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - General
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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. [Downloadable!] (restricted)
  2. 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.
  3. Boehm, Volker, 1974. "The Core of an Economy with Production," Review of Economic Studies, Blackwell Publishing, vol. 41(3), pages 429-36, July. [Downloadable!] (restricted)
  4. 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.
  5. Herings,P. Jean-Jacques & Laan, van der,Gerard & Talman,Dolf, 2003. "Socially Structured Games and Their Applications," Research Memoranda 024, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
    Other versions:
  6. 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. [Downloadable!] (restricted)
  7. Bennett, Elaine & Zame, William R, 1988. "Bargaining in Cooperative Games," International Journal of Game Theory, Springer, vol. 17(4), pages 279-300.
  8. Ichiishi, Tatsuro, 1981. "A Social Coalitional Equilibrium Existence Lemma," Econometrica, Econometric Society, vol. 49(2), pages 369-77, March. [Downloadable!] (restricted)
  9. Herbert E. Scarf, 1965. "The Core of an N Person Game," Cowles Foundation Discussion Papers 182R, Cowles Foundation, Yale University. [Downloadable!]
  10. 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. [Downloadable!] (restricted)
  11. 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. [Downloadable!] (restricted)
  12. Greenberg, Joseph & Weber, Shlomo, 1986. "Strong tiebout equilibrium under restricted preferences domain," Journal of Economic Theory, Elsevier, vol. 38(1), pages 101-117, February. [Downloadable!] (restricted)
  13. 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. [Downloadable!] (restricted)
  14. Ichiishi, Tatsuro & Idzik, Adam, 1996. "Bayesian Cooperative Choice of Strategies," International Journal of Game Theory, Springer, vol. 25(4), pages 455-73.
  15. P. Herings & Gerard Laan & Dolf Talman, 2007. "Socially Structured Games," Theory and Decision, Springer, vol. 62(1), pages 1-29, February. [Downloadable!] (restricted)
  16. 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. [Downloadable!]
    Other versions:
  17. Border, Kim C, 1984. "A Core Existence Theorem for Games without Ordered Preferences," Econometrica, Econometric Society, vol. 52(6), pages 1537-42, November. [Downloadable!] (restricted)
  18. 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 Memoranda 016, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
    Other versions:
  19. Roy Radner & Tatsuro Ichiishi, 1999. "A profit-center game with incomplete information," Review of Economic Design, Springer, vol. 4(4), pages 307-343. [Downloadable!] (restricted)
  20. 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. [Downloadable!] (restricted)
  21. Herbert E. Scarf, 1970. "On the Existence of a Cooperative Solution for a General Class of N-Person Games," Cowles Foundation Discussion Papers 293, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  22. Francoise Forges & Jean-Francois Mertens & Rajiv Vohra, 2002. "The Ex Ante Incentive Compatible Core in the Absence of Wealth Effects," Econometrica, Econometric Society, vol. 70(5), pages 1865-1892, September. [Downloadable!] (restricted)
    Other versions:
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Vincent Iehlé, 2004. "Transfer rate rules and core selections in NTU games," Cahiers de la Maison des Sciences Economiques b04093, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
    Other versions:
  2. Predtetchinski,Arkadi, 2004. "The Fuzzy Core and the (Π, β)- Balanced Core," Research Memoranda 025, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
  3. Allouch,Nizar & Predtetchinski,Arkadi, 2005. "On the non-emptiness of the fuzzy core," Research Memoranda 002, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
    Other versions:
  4. Vincent Iehlé, 2005. "The core-partition of hedonic games," Cahiers de la Maison des Sciences Economiques b05091, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
    Other versions:
  5. Vincent Iehlé, 2004. "Stable pricing in monopoly and equilibrium-core of cost games," Cahiers de la Maison des Sciences Economiques b05023, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
    Other versions:
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