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Representation of transferable utility games by coalition production economies

  • Inoue, Tomoki
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    We prove that, by the method of construction of a coalition production economy due to Sun et al. [Sun, N., Trockel, W., Yang, Z., 2008. Competitive outcomes and endogenous coalition formation in an n-person game. Journal of Mathematical Economics 44, 853–860], every transferable utility (TU) game can be generated by a coalition production economy. Namely, for every TU game, we can construct a coalition production economy that generates the given game. We briefly discuss the relationship between the core of a given TU game and the set of Walrasian payoff vectors for the induced coalition production economy.

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    Article provided by Elsevier in its journal Journal of Mathematical Economics.

    Volume (Year): 48 (2012)
    Issue (Month): 3 ()
    Pages: 143-147

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    Handle: RePEc:eee:mateco:v:48:y:2012:i:3:p:143-147
    Contact details of provider: Web page: http://www.elsevier.com/locate/jmateco

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    1. Arnold, Tone & Schwalbe, Ulrich, 2002. "Dynamic coalition formation and the core," Journal of Economic Behavior & Organization, Elsevier, vol. 49(3), pages 363-380, November.
    2. Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, vol. 1(1), pages 9-25, June.
    3. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, June.
    4. Sondermann, Dieter, 1974. "Economies of scale and equilibria in coalition production economies," Journal of Economic Theory, Elsevier, vol. 8(3), pages 259-291, July.
    5. Boehm, Volker, 1974. "The Core of an Economy with Production," Review of Economic Studies, Wiley Blackwell, vol. 41(3), pages 429-36, July.
    6. Sun,N. & Trockel,W. & Yang,Z., 2004. "Competitive outcomes and endogenous coalition formation in an n-person game," Working Papers 358, Bielefeld University, Center for Mathematical Economics.
    7. Billera, Louis J., 1974. "On games without side payments arising from a general class of markets," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 129-139, August.
    8. Greenberg, Joseph, 1979. "Existence and Optimality of Equilibrium in Labour-managed Economies," Review of Economic Studies, Wiley Blackwell, vol. 46(3), pages 419-33, July.
    9. Ichiishi, Tatsuro, 1977. "Coalition Structure in a Labor-Managed Market Economy," Econometrica, Econometric Society, vol. 45(2), pages 341-60, March.
    10. 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.
    11. Tomoki Inoue, 2010. "Representation of TU games by coalition production economies," Working Papers 430, Bielefeld University, Center for Mathematical Economics.
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