Dynamically Stable Sets in Infinite Strategy Spaces
Abstract
Evolutionary game theory has largely focused on finite games. Dynamic stability is harder to attain in infinite strategy spaces; Bomze (Monatshefte fur Mathematik 110, 1990, 189-206) and Oechssler and Riedel (Economic Theory 17, 2001, 141-162) provide conditions for the stability of rest points under the replicator dynamics. Here, conditions are given for the stability of sets of strategies under this process.Download Info
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Paper provided by University of Oxford, Department of Economics in its series Economics Series Working Papers with number 251.Length:
Date of creation: 01 Dec 2005
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Handle: RePEc:oxf:wpaper:251
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Related research
Keywords: Replicator dynamics; Evolutionary stability; Continouus strategy spaces; Stable sets;Other versions of this item:
- Norman, Thomas W.L., 2008. "Dynamically stable sets in infinite strategy spaces," Games and Economic Behavior, Elsevier, vol. 62(2), pages 610-627, March.
- C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2006-03-18 (All new papers)
- NEP-EVO-2006-03-18 (Evolutionary Economics)
- NEP-GTH-2006-03-18 (Game Theory)
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