A Non-cooperative Approach to the Compensation Rules for Primeval Games
To model inter-individual externalities and analyze the associated compensation issue, Ju and Borm (2005) introduces a new game-theoretic framework, primeval games, and proposes, from a cooperative perspective, three compensation rules as solution concepts for primeval games: the marginalistic rule, the concession rule, and the primeval rule. In this paper, we provide a non-cooperative approach to address these problems more specifically. Inspired by the generalized bidding approach (Ju and Wettstein (2006)) for TU games, we design various bidding mechanisms to fit the model of primeval games and show that each implements the corresponding compensation rule in subgame perfect equilibrium. These mechanisms require nearly no condition on the game environment and obtain each solution itself rather than in expected terms. Moreover, since the various mechanisms share a common basic structure, this paper offers a non-cooperative benchmark to compare different axiomatic solutions, which, in return, may advance the axiomatic study of the issue by constructing alternative compensation rules.
|Date of creation:||Sep 2006|
|Note:||We thank Eric van Damme and David Wettstein for helpful suggestions and discussions. We also appreciate the comments from the participants at the 2nd Spain Italy Netherlands Meeting on Game Theory in Foggia, Italy.|
|Contact details of provider:|| Postal: Department of Economics, University of Keele, Keele, Staffordshire, ST5 5BG - United Kingdom|
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|Order Information:|| Postal: Centre for Economic Research, Research Institute for Public Policy and Management, Keele University, Staffordshire ST5 5BG - United Kingdom|
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- Ju, Y. & Wettstein, D., 2006.
"Implementing Cooperative Solution Concepts : A Generalized Bidding Approach,"
2006-42, Tilburg University, Center for Economic Research.
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"The consensus value : A new solution concept for cooperative games,"
Other publications TiSEM
6cd44a12-a909-47f8-8d85-e, Tilburg University, School of Economics and Management.
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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.
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2004-60, Tilburg University, Center for Economic Research.
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