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An Explicit Bound on epsilon for Non-Emptiness of the epsilon-Core of an Arbitrary Game with Side Payments


  • Kovalenkov, A.
  • Holtz Wooders, M.


We introduce the concept of a paramaterized collection of games with side payments and determine a bound on epsilon so that all sufficiently large games in such a collection have non-emplty epsilon-cores. A parametrized collection of games is described by (a) the number of approximate player types and the accuracy of this approximation, (b) the size of approximately effective small groups, and (c) the size of the bound on maximal per capita payoffs achievable in coalitions.

Suggested Citation

  • Kovalenkov, A. & Holtz Wooders, M., 1997. "An Explicit Bound on epsilon for Non-Emptiness of the epsilon-Core of an Arbitrary Game with Side Payments," UFAE and IAE Working Papers 393.97, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  • Handle: RePEc:aub:autbar:393.97

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    References listed on IDEAS

    1. Brandts, Jordi & Sola, Carles, 2001. "Reference Points and Negative Reciprocity in Simple Sequential Games," Games and Economic Behavior, Elsevier, vol. 36(2), pages 138-157, August.
    2. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 817-868.
    3. Loewenstein, George, 1996. "Out of Control: Visceral Influences on Behavior," Organizational Behavior and Human Decision Processes, Elsevier, vol. 65(3), pages 272-292, March.
    4. Güth, Werner & Huck, Steffen & Müller, Wieland, 1998. "The relevance of equal splits: On a behavioral discontinuity in ultimatum games," SFB 373 Discussion Papers 1998,7, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    5. Schotter Andrew & Weigelt Keith & Wilson Charles, 1994. "A Laboratory Investigation of Multiperson Rationality and Presentation Effects," Games and Economic Behavior, Elsevier, vol. 6(3), pages 445-468, May.
    6. Gary E Bolton & Axel Ockenfels, 1997. "A Theory of Equity, Reciprocity, and Competition," Levine's Working Paper Archive 1889, David K. Levine.
    7. Timothy N. Cason & Vai-Lam Mui, 1998. "Social Influence in the Sequential Dictator Game," Monash Economics Working Papers archive-37, Monash University, Department of Economics.
    8. Roberto Weber & Colin Camerer & Marc Knez, 2004. "Timing and Virtual Observability in Ultimatum Bargaining and “Weak Link” Coordination Games," Experimental Economics, Springer;Economic Science Association, vol. 7(1), pages 25-48, February.
    9. Axel Ockenfels & Gary E. Bolton, 2000. "ERC: A Theory of Equity, Reciprocity, and Competition," American Economic Review, American Economic Association, vol. 90(1), pages 166-193, March.
    10. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    11. Amnon Rapoport, 1997. "Order of Play in Strategically Equivalent Games in Extensive Form," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(1), pages 113-136.
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    Cited by:

    1. Wooders, M. & Selten, R. & Cartwright, E., 2001. "Some First Results for Noncooperative Pregames : Social Conformity and Equilibrium in Pure Strategies," The Warwick Economics Research Paper Series (TWERPS) 589, University of Warwick, Department of Economics.

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    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D7 - Microeconomics - - Analysis of Collective Decision-Making


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