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On implementation via demand commitment games

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Author Info
(*), Y. Stephen Chiu (Department of Decision Sciences and Managerial Economics, The Chinese University of Hong Kong, Hong Kong)
Ani Dasgupta (Smeal College of Business Administration, Pennsylvania State University, USA)

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Abstract

A simple version of the Demand Commitment Game is shown to implement the Shapley value as the unique subgame perfect equilibrium outcome for any n-person characteristic function game. This improves upon previous models devoted to this implementation problem in terms of one or more of the following: a) the range of characteristic function games addressed, b) the simplicity of the underlying noncooperative game (it is a finite horizon game where individuals make demands and form coalitions rather than make comprehensive allocation proposals and c) the general acceptability of the noncooperative equilibrium concept. A complete characterization of an equilibrium strategy generating the Shapley value outcomes is provided. Furthermore, for 3 player games, it is shown that the Demand Commitment Game can implement the core for games which need not be convex but have cores with nonempty interiors.

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Publisher Info
Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 27 (1998)
Issue (Month): 2 ()
Pages: 161-189
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:spr:jogath:v:27:y:1998:i:2:p:161-189

Note: Received March 1995/Final version February 1997
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Related research
Keywords: Demand commitment game · implementation · Shapley value · core;

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. Juan Vidal-Puga, 2003. "Implementation of the levels structure value," Game Theory and Information 0303006, EconWPA. [Downloadable!]
  2. Noemí Navarro & Andrés Perea, 2001. "Bargaining In Networks And The Myerson Value," Economics Working Papers we016121, Universidad Carlos III, Departamento de Economía. [Downloadable!]
  3. 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). [Downloadable!]
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  4. Juan Vidal-Puga, 2003. "A bargaining approach to the consistent value for NTU games with coalition structure," Game Theory and Information 0303001, EconWPA. [Downloadable!]
  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!]
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  6. David Pérez-Castrillo & David Wettstein, 2005. "Implementation of the Ordinal Shapley Value for a three-agent economy," UFAE and IAE Working Papers 647.05, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC). [Downloadable!]
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  7. Juan Vidal-Puga, 2003. "Bargaining with commitments," Game Theory and Information 0306002, EconWPA. [Downloadable!]
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  8. Yves Breitmoser, 2009. "Demand commitments in majority bargaining or how formateurs get their way," International Journal of Game Theory, Springer, vol. 38(2), pages 183-191, June. [Downloadable!] (restricted)
  9. Inés Macho-Stadler & David Pérez-Castrillo & David Wettstein, 2005. "Efficient Bidding with Externalities," UFAE and IAE Working Papers 641.05, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC). [Downloadable!]
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  10. Maria Montero & Juan Vidal-Puga, 2006. "Demand Bargaining and Proportional Payoffs in Legislatures," Discussion Papers 2006-11, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham. [Downloadable!]
  11. Maria Montero & Juan Vidal-Puga, 2005. "Demand commitment in legislative bargaining," Game Theory and Information 0511005, EconWPA. [Downloadable!]
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