Marginal contributions and externalities in the value
For games in partition function form, we explore the implications of distinguishing between the concepts of intrinsic marginal contributions and externalities. If one requires efficiency for the grand coalition, we provide several results concerning extensions of the Shapley value. Using the axioms of efficiency, anonymity, marginality and monotonicity, we provide upper and lower bounds to players' payoffs when affected by external effects, and a characterization of an ''externality-free'' value. If the grand coalition does not form, we characterize a payoff configuration on the basis of the principle of balanced contributions. We also analyze a game of coalition formation that yields sharp predictions
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- Bloch, Francis, 2002. "Coalitions and Networks in Industrial Organization," Manchester School, University of Manchester, vol. 70(1), pages 36-55, January.
- Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
- Debraj Ray & Rajiv Vohra, 1998.
"A Theory of Endogenous Coalition Structures,"
98-1, Brown University, Department of Economics, revised Jan 1998.
- Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
- Debraj Ray & Rajiv Vohra, 2001. "Coalitional Power and Public Goods," Journal of Political Economy, University of Chicago Press, vol. 109(6), pages 1355-1384, December.
- Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001.
"Core in a simple coalition formation game,"
Social Choice and Welfare,
Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
- Bolger, E M, 1989. "A Set of Axioms for a Value for Partition Function Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(1), pages 37-44.
- M. J. Albizuri & J. Arin & J. Rubio, 2005. "An Axiom System For A Value For Games In Partition Function Form," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 63-72.
- Montero, M.P., 1999. "Coalition Formation in Games with Externalities," Discussion Paper 1999-121, Tilburg University, Center for Economic Research.
- Roger B. Myerson, 1978. "Conference Structures and Fair Allocation Rules," Discussion Papers 363, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Khmelnitskaya, Anna B., 1999. "Marginalist and efficient values for TU games," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 45-54, July.
- Sergiu Hart & Andreu Mas-Colell, 1994.
"Bargaining and value,"
Economics Working Papers
114, Department of Economics and Business, Universitat Pompeu Fabra, revised Feb 1995.
- Roger B. Myerson, 1976. "Value of Games in Partition Function Form," Discussion Papers 244, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Pradeep Dubey & Abraham Neyman & Robert J. Weber, 1979. "Value Theory without Efficiency," Cowles Foundation Discussion Papers 513, Cowles Foundation for Research in Economics, Yale University.
- Macho-Stadler, Ines & Perez-Castrillo, David & Wettstein, David, 2007. "Sharing the surplus: An extension of the Shapley value for environments with externalities," Journal of Economic Theory, Elsevier, vol. 135(1), pages 339-356, July.
- Robert J. Weber, 1977.
"Probabilistic Values for Games,"
Cowles Foundation Discussion Papers
471R, Cowles Foundation for Research in Economics, Yale University.
- Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
- Kim Hang Pham Do & Henk Norde, 2007.
"The Shapley Value For Partition Function Form Games,"
International Game Theory Review (IGTR),
World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 353-360.
- Pham Do, K.H. & Norde, H.W., 2002. "The Shapley Value for Partition Function Form Games," Discussion Paper 2002-4, Tilburg University, Center for Economic Research.
- repec:fth:tilbur:99121 is not listed on IDEAS
- Inés Macho-Stadler & David Pérez-Castrillo & David Wettstein, 2005.
"Efficient Bidding with Externalities,"
UFAE and IAE Working Papers
641.05, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- José Alcalde & Pablo Revilla, 2003.
"Researching with Whom? Stability and Manipulation,"
Economic Working Papers at Centro de Estudios Andaluces
E2003/35, Centro de Estudios Andaluces.
- David Pérez-Castrillo & David Wettstein, "undated".
"Bidding For The Surplus: A Non-Cooperative Approach To The Shapley Value,"
UFAE and IAE Working Papers
461.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Perez-Castrillo, David & Wettstein, David, 2001. "Bidding for the Surplus : A Non-cooperative Approach to the Shapley Value," Journal of Economic Theory, Elsevier, vol. 100(2), pages 274-294, October.
- Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May.
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