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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,)

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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Bibliographic 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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Web page: http://www.keele.ac.uk/depts/ec/cer/
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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.;

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References

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  1. Yuan Ju, 2007. "The Consensus Value For Games In Partition Function Form," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(03), pages 437-452.
  2. 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.
  3. 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.
  4. Ju, Y. & Wettstein, D., 2006. "Implementing Cooperative Solution Concepts: A Generalized Bidding Approach," Discussion Paper 2006-42, Tilburg University, Center for Economic Research.
  5. 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.
  6. Hal R. Varian, 1994. "A Solution to the Problem of Externalities when Agents are Well-Informed}," Microeconomics 9401003, EconWPA.
  7. Inés Macho-Stadler & David Pérez-Castrillo & David Wettstein, 2004. "Sharing the surplus: A just and efficient proposal for environments with externalities," Working Papers 119, Barcelona Graduate School of Economics.
  8. David Pérez-Castrillo & David Wettstein, . "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).
  9. 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.
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Cited by:
  1. Ju, Yuan & Borm, Peter, 2008. "Externalities and compensation: Primeval games and solutions," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 367-382, February.

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