Potential maximizers and network formation
In this paper we study the formation of cooperation structures in superadditive cooperative TU-games.Cooperation structures are represented by hypergraphs.The formation process is modelled as a game in strategic form, where the payoffs are determined according to a weighted (extended) Myerson value.This class of solution concepts turns out to be the unique class resulting in weighted potential games.The argmax set of the weighted potential predicts the formation of the complete structure and structures payoff-equivalent to the complete structure.As by-products we obtain a representation theorem of weighted potential games in terms of weighted Shapley values and a characterization of the weighted (extended) Myerson values.
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- Stef Tijs & Anne van den Nouweland & Bhaskar Dutta, 1998.
"Link formation in cooperative situations,"
International Journal of Game Theory,
Springer;Game Theory Society, vol. 27(2), pages 245-256.
- Dutta, B. & van den Nouweland, C.G.A.M. & Tijs, S.H., 1998. "Link formation in cooperative situations," Other publications TiSEM fb302bdf-f6ab-4909-99d5-5, Tilburg University, School of Economics and Management.
- Dutta, B. & van den Nouweland, C.G.A.M. & Tijs, S.H., 2003. "Link formation in cooperative situations," Other publications TiSEM 840ac1d0-9e23-41a7-832e-8, Tilburg University, School of Economics and Management.
- Dutta, B. & van den Nouweland, C.G.A.M. & Tijs, S.H., 1995. "Link formation in cooperative situations," Discussion Paper 1995-35, Tilburg University, Center for Economic Research.
- John B Van Huyck & Raymond C Battalio & Richard O Beil, 1997.
"Tacit coordination games, strategic uncertainty, and coordination failure,"
Levine's Working Paper Archive
1225, David K. Levine.
- Van Huyck, John B & Battalio, Raymond C & Beil, Richard O, 1990. "Tacit Coordination Games, Strategic Uncertainty, and Coordination Failure," American Economic Review, American Economic Association, vol. 80(1), pages 234-248, March.
- J. B. Van Huyck & R. C. Battalio & R. O. Beil, 2010. "Tacit coordination games, strategic uncertainty, and coordination failure," Levine's Working Paper Archive 661465000000000393, David K. Levine.
- Slikker, Marco, 2001.
"Coalition Formation and Potential Games,"
Games and Economic Behavior,
Elsevier, vol. 37(2), pages 436-448, November.
- van den Nouweland, Anne & Borm, Peter & Tijs, Stef, 1992.
"Allocation Rules for Hypergraph Communication Situations,"
International Journal of Game Theory,
Springer;Game Theory Society, vol. 20(3), pages 255-268.
- van den Nouweland, C.G.A.M. & Borm, P.E.M. & Tijs, S.H., 1992. "Allocation rules for hypergraph communication situations," Other publications TiSEM b97fb9dd-2acf-470d-b9eb-a, Tilburg University, School of Economics and Management.
- Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
- Crawford, Vincent P., 1991. "An "evolutionary" interpretation of Van Huyck, Battalio, and Beil's experimental results on coordination," Games and Economic Behavior, Elsevier, vol. 3(1), pages 25-59, February.
- Qin, Cheng-Zhong, 1996. "Endogenous Formation of Cooperation Structures," Journal of Economic Theory, Elsevier, vol. 69(1), pages 218-226, April.
- Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
- Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
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