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The cutting power of preparation

  • Tercieux, Olivier

    (Dept. of Econometrics and OR, Tilburg University, The Netherlands)

  • Voorneveld, Mark

    ()

    (Dept. of Economics, Stockholm School of Economics)

In a strategic game, a curb set [Basu and Weibull, Econ. Letters 36 (1991) 141] is a product set of pure strategies containing all best responses ro every possible belief restricted to this set. Prep sets [Voorneveld, Games Econ. Behav. 48 (2004) 403] relax this condition by only requiring the presence of at least one best response to such a belief. The purpose of this paper is to provide economically interesting classes of games in which minimal prep sets give sharp predictions, whereas in relevant subclasses of these games, minimal curb sets have no cutting power whatsoever and simply consist of the entire strategy space. These classes include potential games, congestion games with player-specific payoffs, and supermodular games.

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Paper provided by Stockholm School of Economics in its series SSE/EFI Working Paper Series in Economics and Finance with number 583.

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Length: 23 pages
Date of creation: 31 Jan 2005
Date of revision:
Handle: RePEc:hhs:hastef:0583
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  3. Challet, Damien & Marsili, Matteo & Zhang, Yi-Cheng, 2004. "Minority Games: Interacting agents in financial markets," OUP Catalogue, Oxford University Press, number 9780198566403, March.
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  9. Droste, E.J.R. & Kosfeld, M. & Voorneveld, M., 1998. "A Myopic Adjustment Process Leading to Best-Reply Matching," Discussion Paper 1998-111, Tilburg University, Center for Economic Research.
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  17. Zhou Lin, 1994. "The Set of Nash Equilibria of a Supermodular Game Is a Complete Lattice," Games and Economic Behavior, Elsevier, vol. 7(2), pages 295-300, September.
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