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Preparation and toolkit learning

  • Voorneveld, Mark


    (Dept. of Economics, Stockholm School of Economics)

A product set of pure strategies is a prep set ("prep" is short for "preparation") if it contains at least one best reply to any consistent belief that a player may have about the strategic behavior of his opponents. Minimal prep sets are shown to exists in a class of strategic games satisfying minor topological conditions. The concept of minimal prep sets is compared with (pure and mixed) Nash equilibria, minimal curb sets, and rationalizability. Additional dynamic motivation for the concept is provided by a model of adaptive play that is shown to settle down in minimal prep sets.

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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 485.

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Length: 26 pages
Date of creation: 04 Jan 2002
Date of revision:
Handle: RePEc:hhs:hastef:0485
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  1. Vega-Redondo, Fernando, 1993. "Simple and Inertial Behavior: An Optimizing Decision Model with Imprecise Perceptions," Economic Theory, Springer, vol. 3(1), pages 87-98, January.
  2. Hurkens Sjaak, 1995. "Learning by Forgetful Players," Games and Economic Behavior, Elsevier, vol. 11(2), pages 304-329, November.
  3. Dufwenberg, Martin & Norde, Henk & Reijnierse, Hans & Tijs, Stef, 1998. "The Consistency Principle for Set-valued Solutions and a New Direction for Normative Game Theory," Working Paper Series 1998:11, Uppsala University, Department of Economics.
  4. Peleg, Bezalel & Potters, Jos A M & Tijs, Stef H, 1996. "Minimality of Consistent Solutions for Strategic Games, in Particular for Potential Games," Economic Theory, Springer, vol. 7(1), pages 81-93, January.
  5. Basu, Kaushik & Weibull, Jorgen W., 1991. "Strategy subsets closed under rational behavior," Economics Letters, Elsevier, vol. 36(2), pages 141-146, June.
  6. Peleg, B. & Tijs, S.H., 1993. "The consistency principle for games in strategic form," Discussion Paper 1993-6, Tilburg University, Center for Economic Research.
  7. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-50, July.
  8. Matsui, Akihiko, 1992. "Best response dynamics and socially stable strategies," Journal of Economic Theory, Elsevier, vol. 57(2), pages 343-362, August.
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