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Implementing Cooperative Solution Concepts: a Generalized Bidding Approach

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Author Info
Yuan Ju () (Keele University, Centre for Economic Research and School of Economic and Management Studies)
David Wettstein () (Department of Economics, Ben-Gurion University of the Negev)

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Abstract

This paper provides a framework for implementing and comparing several solution concepts for transferable utility cooperative games.We construct bidding mechanisms where players bid for the role of the proposer. The mechanisms differ in the power awarded to the proposer. The Shapley, consensus and equal surplus values are implemented in subgame perfect equilibrium outcomes as power shifts away from the proposer to the rest of the players. Moreover, an alternative informational structure where these solution concepts can be implemented without imposing any conditions of the transferable utility game is discussed as well.

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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 2006/06.

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Length: 22 pages
Date of creation: Apr 2006
Date of revision:
Handle: RePEc:kee:kerpuk:2006/06

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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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Web: http://www.keele.ac.uk/depts/ec/cer/pubs_kerps.htm

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Related research
Keywords: Implementation; bidding mechanism; Shapley value; consensus value; equal surplus value.;

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

This paper has been announced in the following NEP Reports:

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. Ignacio García-Jurado & Julio González-Díaz & Antonio Villar, 2006. "A Non-cooperative Approach to Bankruptcy Problems," Spanish Economic Review, Springer, vol. 8(3), pages 189-197, September. [Downloadable!] (restricted)
  2. Eric Maskin & John Moore, 1999. "Implementation and Renegotiation," Harvard Institute of Economic Research Working Papers 1863, Harvard - Institute of Economic Research.
    Other versions:
  3. 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:
  4. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January. [Downloadable!] (restricted)
  5. (*), Y. Stephen Chiu & Ani Dasgupta, 1998. "On implementation via demand commitment games," International Journal of Game Theory, Springer, vol. 27(2), pages 161-189. [Downloadable!] (restricted)
  6. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-80, March. [Downloadable!] (restricted)
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  7. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January. [Downloadable!] (restricted)
  8. Vidal-Puga, Juan & Bergantinos, Gustavo, 2003. "An implementation of the Owen value," Games and Economic Behavior, Elsevier, vol. 44(2), pages 412-427, August. [Downloadable!] (restricted)
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  10. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September. [Downloadable!] (restricted)
  11. 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:
  12. 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!]
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  13. David Pérez-Castrillo & David Wettstein, 2002. "Choosing Wisely: A Multibidding Approach," American Economic Review, American Economic Association, vol. 92(5), pages 1577-1587, December. [Downloadable!]
  14. Macho-Stadler, Ines & Perez-Castrillo, David & Wettstein, David, 2006. "Efficient bidding with externalities," Games and Economic Behavior, Elsevier, vol. 57(2), pages 304-320, November. [Downloadable!] (restricted)
    Other versions:
  15. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April. [Downloadable!] (restricted)
  16. Juan J. Vidal-Puga, 2004. "Bargaining with commitments," International Journal of Game Theory, Springer, vol. 33(1), pages 129-144, January. [Downloadable!] (restricted)
    Other versions:
  17. Krishna, Vijay & Serrano, Roberto, 1995. "Perfect Equilibria of a Model of N-Person Noncooperative Bargaining," International Journal of Game Theory, Springer, vol. 24(3), pages 259-72.
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  18. Juan Vidal-Puga, 2005. "A bargaining approach to the Owen value and the Nash solution with coalition structure," Economic Theory, Springer, vol. 25(3), pages 679-701, 04. [Downloadable!] (restricted)
  19. René van den Brink & Yukihiko Funaki, 2004. "Axiomatizations of a Class of Equal Surplus Sharing Solutions for Cooperative Games with Transferable Utility," Tinbergen Institute Discussion Papers 04-136/1, Tinbergen Institute. [Downloadable!]
  20. Ju, Y., 2004. "The consensus value for games in partition function form," Discussion Paper 60, Tilburg University, Center for Economic Research. [Downloadable!]
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  21. Moldovanu, Benny & Winter, Eyal, 1994. "Core implementation and increasing returns to scale for cooperation," Journal of Mathematical Economics, Elsevier, vol. 23(6), pages 533-548, November. [Downloadable!] (restricted)
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  22. Herve Moulin, 2004. "Fair Division and Collective Welfare," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262633116, January.
  23. 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!]
    Other versions:
  24. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July. [Downloadable!] (restricted)
  25. Sandeep Baliga & Sandro Brusco, 2000. "Collusion, renegotiation and implementation," Social Choice and Welfare, Springer, vol. 17(1), pages 69-83. [Downloadable!] (restricted)
  26. Faruk Gul, 1999. "Efficiency and Immediate Agreement: A Reply to Hart and Levy," Econometrica, Econometric Society, vol. 67(4), pages 913-918, July.
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Cited by:
(explanations, 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 & Pieter Ruys, 2007. "The consensus value: a new solution concept for cooperative games," Social Choice and Welfare, Springer, vol. 28(4), pages 685-703, June. [Downloadable!] (restricted)
    Other versions:
  2. Yuan Ju & Peter Borm, 2006. "A Non-cooperative Approach to the Compensation Rules for Primeval Games," Keele Economics Research Papers KERP 2006/18, Centre for Economic Research, Keele University. [Downloadable!]
    Other versions:
  3. René van den Brink & Yukihiko Funaki & Yuan Ju, 2007. "Consistency, Monotonicity and Implementation of Egalitarian Shapley Values," Tinbergen Institute Discussion Papers 07-062/1, Tinbergen Institute. [Downloadable!]
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