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The Nonemptiness of the f-Core of a Game without Side Payments

Author

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  • Kaneko, Mamoru
  • Wooders, Myrna Holtz

Abstract

We prove the nonemptiness of the core of a continuum game without side payments where only small coalitions--ones bounded in absolute size of finite cardinality--are permitted. This result covers assignment games with a continuum of players and includes combinations of several assignment games, such as housing and automobile markets.

Suggested Citation

  • Kaneko, Mamoru & Wooders, Myrna Holtz, 1996. "The Nonemptiness of the f-Core of a Game without Side Payments," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(2), pages 245-258.
  • Handle: RePEc:spr:jogath:v:25:y:1996:i:2:p:245-58
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    Citations

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    Cited by:

    1. Georg Nöldeke & Larry Samuelson, 2015. "Investment and Competitive Matching," Econometrica, Econometric Society, vol. 83(3), pages 835-896, May.
    2. Nizar Allouch & Myrna Wooders, 2017. "On the nonemptiness of approximate cores of large games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 191-209, January.
    3. Kovalenkov, Alexander & Wooders, Myrna, 2003. "Approximate cores of games and economies with clubs," Journal of Economic Theory, Elsevier, vol. 110(1), pages 87-120, May.
    4. Askoura, Y., 2011. "The weak-core of a game in normal form with a continuum of players," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 43-47, January.
    5. John P. Conley & Myrna Holtz Wooders, 1998. "The Tiebout Hypothesis: On the Existence of Pareto Efficient Competitive Equilibrium," Working Papers mwooders-98-06, University of Toronto, Department of Economics.
    6. Kovalenkov, Alexander & Wooders, Myrna Holtz, 1999. "An Explicit Bound on E For Nonemptimess of E-Cores of Games," The Warwick Economics Research Paper Series (TWERPS) 537, University of Warwick, Department of Economics.
    7. Alexander Kovalenkov & Myrna H. Wooders, 1999. "An explicit bound on epsilon for nonemptiness of Epsilon-cores of games," Working Papers mwooders-00-03, University of Toronto, Department of Economics.
    8. Patrick Legros & Andrew F. Newman, 2007. "Beauty Is a Beast, Frog Is a Prince: Assortative Matching with Nontransferabilities," Econometrica, Econometric Society, vol. 75(4), pages 1073-1102, July.
    9. Thomas Gall, 2010. "Inequality, Incomplete Contracts, And The Size Distribution Of Business Firms," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(2), pages 335-364, May.
    10. repec:eee:matsoc:v:89:y:2017:i:c:p:32-42 is not listed on IDEAS
    11. Allouch, Nizar & Conley, John P. & Wooders, Myrna, 2009. "Anonymous price taking equilibrium in Tiebout economies with a continuum of agents: Existence and characterization," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 492-510, September.
    12. Nöldeke, Georg & Samuelson, Larry, 2015. "The Implementation Duality," Working papers 2015/01, Faculty of Business and Economics - University of Basel.
    13. Alexander Kovalenkov & Myrna Holtz Wooders, 1997. "Epsilon cores of games and economies with limited side payments," Working Papers mwooders-98-03, University of Toronto, Department of Economics.
    14. Hatfield, John William & Plott, Charles R. & Tanaka, Tomomi, 2016. "Price controls, non-price quality competition, and the nonexistence of competitive equilibrium," Games and Economic Behavior, Elsevier, vol. 99(C), pages 134-163.
    15. Andrea Canidio, 2012. "The Allocation of Scientific Talent," CEU Working Papers 2012_7, Department of Economics, Central European University, revised 15 May 2012.
    16. Wooders, Myrna, 2008. "Small group effectiveness, per capita boundedness and nonemptiness of approximate cores," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 888-906, July.
    17. Andrea, Canidio, 2009. "The production of science," MPRA Paper 25218, University Library of Munich, Germany.
    18. Thomas Gall & Roland Amann, 2006. "How (not) to Choose Peers in Studying Groups," Working Papers 2006.79, Fondazione Eni Enrico Mattei.
    19. John P. Conley & Myrna Wooders, 1998. "Anonymous Lindahl Pricing in a Tiebout Economy with Crowding Types," Canadian Journal of Economics, Canadian Economics Association, vol. 31(4), pages 952-974, November.
    20. Alexander Kovalenkov & Myrna Wooders, 2003. "Advances in the theory of large cooperative games and applications to club theory; the side payments case," Chapters,in: The Endogenous Formation of Economic Coalitions, chapter 1 Edward Elgar Publishing.
    21. Andrea, Canidio, 2010. "Absorptive capacity, the allocation of scientists, and firms' research productivity," MPRA Paper 30257, University Library of Munich, Germany.
    22. Alexander Kovalenkov & Myrna Holtz Wooders, 1997. "An explicit bound on," Working Papers mwooders-98-04, University of Toronto, Department of Economics.
    23. Legros, Patrick & Newman, Andrew, 2002. "Assortative Matching in a Non-transferable World," CEPR Discussion Papers 3469, C.E.P.R. Discussion Papers.
    24. Sai, Seiken, 2014. "The structure of competitive equilibria in an assignment market," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 42-49.

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