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

Sun N, Trockel W, Yang Z (2008)
JOURNAL OF MATHEMATICAL ECONOMICS 44(7-8): 853-860.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Sun, Ning; Trockel, WalterUniBi ; Yang, Zaifu
Abstract / Bemerkung
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. (C) 2007 Elsevier B.V. All rights reserved.
Stichworte
cooperative games; core; c-core; competitive outcomes; endogenous coalition formation
Erscheinungsjahr
2008
Zeitschriftentitel
JOURNAL OF MATHEMATICAL ECONOMICS
Band
44
Ausgabe
7-8
Seite(n)
853-860
ISSN
0304-4068
Page URI
https://pub.uni-bielefeld.de/record/1587650

Zitieren

Sun N, Trockel W, Yang Z. Competitive outcomes and endogenous coalition formation in an n-person game. JOURNAL OF MATHEMATICAL ECONOMICS. 2008;44(7-8):853-860.
Sun, N., Trockel, W., & Yang, Z. (2008). Competitive outcomes and endogenous coalition formation in an n-person game. JOURNAL OF MATHEMATICAL ECONOMICS, 44(7-8), 853-860. https://doi.org/10.1016/j.jmateco.2007.03.002
Sun, Ning, Trockel, Walter, and Yang, Zaifu. 2008. “Competitive outcomes and endogenous coalition formation in an n-person game”. JOURNAL OF MATHEMATICAL ECONOMICS 44 (7-8): 853-860.
Sun, N., Trockel, W., and Yang, Z. (2008). Competitive outcomes and endogenous coalition formation in an n-person game. JOURNAL OF MATHEMATICAL ECONOMICS 44, 853-860.
Sun, N., Trockel, W., & Yang, Z., 2008. Competitive outcomes and endogenous coalition formation in an n-person game. JOURNAL OF MATHEMATICAL ECONOMICS, 44(7-8), p 853-860.
N. Sun, W. Trockel, and Z. Yang, “Competitive outcomes and endogenous coalition formation in an n-person game”, JOURNAL OF MATHEMATICAL ECONOMICS, vol. 44, 2008, pp. 853-860.
Sun, N., Trockel, W., Yang, Z.: Competitive outcomes and endogenous coalition formation in an n-person game. JOURNAL OF MATHEMATICAL ECONOMICS. 44, 853-860 (2008).
Sun, Ning, Trockel, Walter, and Yang, Zaifu. “Competitive outcomes and endogenous coalition formation in an n-person game”. JOURNAL OF MATHEMATICAL ECONOMICS 44.7-8 (2008): 853-860.
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