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A Non-cooperative Approach to the Compensation Rules for Primeval Games

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Author Info
Yuan Ju () (Department of Economics, Keele,)
Peter Borm (CentER for Economic Research and Department of Econometrics and Operations Research, Tilburg University,)

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Abstract

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.

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Publisher Info
Paper provided by Centre for Economic Research, Keele University in its series Keele Economics Research Papers with number KERP 2006/18.

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Length: 21 pages
Date of creation: Sep 2006
Date of revision:
Handle: RePEc:kee:kerpuk:2006/18

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.
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Postal: Department of Economics, University of Keele, Keele, Staffordshire, ST5 5BG - United Kingdom
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Postal: Centre for Economic Research, Research Institute for Public Policy and Management, Keele University, Staffordshire ST5 5BG - United Kingdom
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Related research
Keywords: Externality compensation primeval games marginalistic rule concession rule primeval rule bidding mechanism implementation.

Other versions of this item:

Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D62 - Microeconomics - - Welfare Economics - - - Externalities
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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References listed on IDEAS
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.:
  1. Yuan Ju & Peter Borm, 2005. "Externalities and Compensation:Primeval Games and Solutions," Keele Economics Research Papers KERP 2005/05, Centre for Economic Research, Keele University. [Downloadable!]
    Other versions:
  2. Inés Macho-Stadler & David Pérez-Castrillo & David Wettstein, 2004. "Sharing the surplus: A just and efficient proposal for environments with externalities," UFAE and IAE Working Papers 611.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC). [Downloadable!]
  3. 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. [Downloadable!] (restricted)
    Other versions:
  4. Ju, Y. & Borm, P.E.M. & Ruys, P.H.M., 2004. "The consensus value : a new solution concept for cooperative games," Discussion Paper 50, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  5. 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. [Downloadable!]
    Other versions:
  6. Bolger, E M, 1989. "A Set of Axioms for a Value for Partition Function Games," International Journal of Game Theory, Springer, vol. 18(1), pages 37-44.
  7. Ju, Y., 2004. "The consensus value for games in partition function form," Discussion Paper 60, Tilburg University, Center for Economic Research. [Downloadable!]
  8. Hal R. Varian, 1994. "A Solution to the Problem of Externalities when Agents are Well-Informed}," Microeconomics 9401003, EconWPA. [Downloadable!]
    Other versions:
  9. Pham Do, K.H. & Norde, H., 2002. "The Shapley value for partition function form games," Discussion Paper 4, Tilburg University, Center for Economic Research. [Downloadable!]
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