Implementation of weighted values in hierarchical and horizontal cooperation structures
This paper studies a non-cooperative mechanism implementing a cooperative solution for a situation in which members of a society are subdivided into groups and/or coalitions and there is asymmetry among the individuals of the society. To describe hierarchical and horizontal cooperation structure simultaneously, we present unified classes of games, the games with social structure, and define a weighted value for these games. We show that our mechanism works in any zero-monotonic environment and implements the Shapley value, the weighted Shapley value, the Owen's coalitional value, and the weighted coalitional value, in some special cases.
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- Hart, Sergiu & Mas-Colell, Andreu, 1996.
"Bargaining and Value,"
Econometric Society, vol. 64(2), pages 357-380, March.
- Mutuswami, Suresh & Perez-Castrillo, David & Wettstein, David, 2004. "Bidding for the surplus: realizing efficient outcomes in economic environments," Games and Economic Behavior, Elsevier, vol. 48(1), pages 111-123, July.
- Roberto Serrano, 2004.
"Fifty Years of the Nash Program, 1953-2003,"
2004-20, Brown University, Department of Economics.
- Perez-Castrillo, David & Wettstein, David, 2005.
"Forming efficient networks,"
Elsevier, vol. 87(1), pages 83-87, April.
- David Pérez-Castrillo & David Wettstein, 2004. "Forming Efficient Networks," UFAE and IAE Working Papers 609.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- David Pérez-Castrillo & David Wettstein, 2004. "Forming Efficient Networks," Working Papers 123, Barcelona Graduate School of Economics.
- Bloch, Francis & Dutta, Bhaskar, 2009.
"Communication networks with endogenous link strength,"
Games and Economic Behavior,
Elsevier, vol. 66(1), pages 39-56, May.
- Bloch, Francis & Dutta, Bhaskar, 2005. "Communication Networks with Endogenous Link Strength," The Warwick Economics Research Paper Series (TWERPS) 723, University of Warwick, Department of Economics.
- Francis Bloch & Bhaskar Dutta, 2008. "Communication networks with endogeneous link strength," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 08-15, Indian Statistical Institute, New Delhi, India.
- Maschler, M & Owen, G, 1989. "The Consistent Shapley Value for Hyperplane Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(4), pages 389-407.
- Vidal-Puga, Juan & Bergantinos, Gustavo, 2003. "An implementation of the Owen value," Games and Economic Behavior, Elsevier, vol. 44(2), pages 412-427, August.
- 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.
- Juan Vidal-Puga, 2005. "A bargaining approach to the Owen value and the Nash solution with coalition structure," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(3), pages 679-701, 04.
- David Pérez-Castrillo & David Wettstein, 2002. "Choosing Wisely: A Multibidding Approach," American Economic Review, American Economic Association, vol. 92(5), pages 1577-1587, December.
- Levy, Anat & Mclean, Richard P., 1989. "Weighted coalition structure values," Games and Economic Behavior, Elsevier, vol. 1(3), pages 234-249, September.
- Borm, P.E.M. & Owen, G. & Tijs, S.H., 1992. "On the position value for communication situations," Other publications TiSEM 5a8473e4-1df7-42df-ad53-f, Tilburg University, School of Economics and Management.
- Slikker, Marco, 2007. "Bidding for surplus in network allocation problems," Journal of Economic Theory, Elsevier, vol. 137(1), pages 493-511, November.
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