Evolution in Games with a Continuous Action Space
AbstractAllowing for games with a continuous action space, we deal with the question whether and when static conceptslike evolutionary stability can shed any light on what happens in the dynamical context of a population playingthese games. The continuous equivalents of theorems for the finite case are either harder to prove or simplyuntrue. In some cases that fall within the latter category, sensible additional assumptions can repair the damage.Apart from that it turns out that we can no longer ignore the mutation process; with a continuous action space itmakes quite a difference what kind of shocks we consider to be likely.
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Bibliographic InfoPaper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 01-068/1.
Date of creation: 17 Jul 2001
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- C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2001-09-10 (All new papers)
- NEP-EVO-2001-09-10 (Evolutionary Economics)
- NEP-GTH-2001-09-10 (Game Theory)
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