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|
Phone: +44 (0)1782 584581
Fax: +44 (0)1782 717577
Web page: http://www.keele.ac.uk/depts/ec/cer/
More information through EDIRC
|Order Information:|| Postal: Centre for Economic Research, Research Institute for Public Policy and Management, Keele University, Staffordshire ST5 5BG - United Kingdom|
Web: http://www.keele.ac.uk/depts/ec/cer/pubs_kerps.htm Email:
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- 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).
- Yuan Ju & David Wettstein, 2009. "Implementing cooperative solution concepts: a generalized bidding approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(2), pages 307-330, May.
- Yuan Ju & David Wettstein, 2006. "Implementing Cooperative Solution Concepts: a Generalized Bidding Approach," Keele Economics Research Papers KERP 2006/06, Centre for Economic Research, Keele University.
- Ju, Y. & Wettstein, D., 2006. "Implementing Cooperative Solution Concepts : A Generalized Bidding Approach," Discussion Paper 2006-42, Tilburg University, Center for Economic Research.
- 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.
- Ju, Y., 2004. "The Consensus Value for Games in Partition Function Form," Discussion Paper 2004-60, Tilburg University, Center for Economic Research.
- Yuan Ju & Peter Borm & Pieter Ruys, 2007. "The consensus value: a new solution concept for cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(4), pages 685-703, June.
- Ju, Y. & Borm, P.E.M. & Ruys, P.H.M., 2004. "The Consensus Value : A New Solution Concept for Cooperative Games," Discussion Paper 2004-50, Tilburg University, Center for Economic Research.
- Ju, Y. & Borm, P.E.M. & Ruys, P.H.M., 2007. "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.
- 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.
- Varian, Hal R, 1994. "A Solution to the Problem of Externalities When Agents Are Well-Informed," American Economic Review, American Economic Association, vol. 84(5), pages 1278-1293, December.
- Varian, H,R., 1991. "A Solution to the Problem of Externalities when Agents are Well-Informed," Papers 10, Michigan - Center for Research on Economic & Social Theory.
- Hal R. Varian, 1994. "A Solution to the Problem of Externalities when Agents are Well-Informed}," Microeconomics 9401003, EconWPA.