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On implementation via demand commitment games

Listed author(s):
  • (*), 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)

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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Article provided by Springer & Game Theory Society in its journal International Journal of Game Theory.

Volume (Year): 27 (1998)
Issue (Month): 2 ()
Pages: 161-189

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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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