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Competitive outcomes and endogenous coalition formation in an n-person game

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Author Info
Sun, Ning
Trockel, Walter
Yang, Zaifu

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Abstract

We extend the analysis of competitive outcomes in TU market games of Shapley and Shubik [Shapley, L.S., Shubik, M., 1975. Competitive outcomes in the cores of market games. International Journal of Game Theory 4, 229-237] in two ways. First, our representing economies are coalition production economies. Second, and more importantly, our analysis holds for arbitrary TU games. By adopting the C-stable set of Guesnerie and Oddou [Guesnerie, R., Oddou, C., 1979. On economic games which are not necessarily superadditive. Economics Letters 3, 301-306], renamed c-core in our paper, we are able to characterize competitive outcomes even in games with empty core. As competitive outcomes are associated with specific coalition structures, our main result provides an endogenous determination of coalition building and shows that the c-core of any TU game coincides with the set of competitive outcomes of the corresponding coalition production economy.

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

Volume (Year): 44 (2008)
Issue (Month): 7-8 (July)
Pages: 853-860
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Handle: RePEc:eee:mateco:v:44:y:2008:i:7-8:p:853-860

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Web page: http://www.elsevier.com/locate/jmateco

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  1. Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April. [Downloadable!] (restricted)
  2. Qin, Cheng-Zhong, 1993. "A Conjecture of Shapley and Shubik on Competitive Outcomes in the Cores of NTU Market Games," International Journal of Game Theory, Springer, vol. 22(4), pages 335-44.
  3. Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, vol. 1(1), pages 9-25, June. [Downloadable!] (restricted)
  4. Neuefeind, Wilhelm, 1974. "A stochastic bargaining process for n-person games," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 175-191, August. [Downloadable!] (restricted)
  5. Herbert E. Scarf, 1965. "The Core of an N Person Game," Cowles Foundation Discussion Papers 182R, Cowles Foundation, Yale University. [Downloadable!]
  6. Wooders, Myrna Holtz, 1994. "Equivalence of Games and Markets," Econometrica, Econometric Society, vol. 62(5), pages 1141-60, September. [Downloadable!] (restricted)
  7. McKenzie, Lionel W, 1981. "The Classical Theorem on Existence of Competitive Equilibrium," Econometrica, Econometric Society, vol. 49(4), pages 819-41, June. [Downloadable!] (restricted)
  8. Zhou Lin, 1994. "A New Bargaining Set of an N-Person Game and Endogenous Coalition Formation," Games and Economic Behavior, Elsevier, vol. 6(3), pages 512-526, May. [Downloadable!] (restricted)
  9. Trockel, Walter, 1996. "A Walrasian approach to bargaining games," Economics Letters, Elsevier, vol. 51(3), pages 295-301, June. [Downloadable!] (restricted)
  10. Robert M. Anderson and Walter Trockel and Lin Zhou., 1994. "Nonconvergence of the Mas-Colell and Zhou Bargaining Sets," Economics Working Papers 94-224, University of California at Berkeley.
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