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Generalized projection dynamics in evolutionary game theory

Reinoud Joosten and Berend Roorda

Papers on Economics and Evolution from Philipps University Marburg, Department of Geography

Abstract: We introduce a new kind of projection dynamics by employing a ray-projection both locally and globally. By global (local) we mean a projection of a vector (close to the unit simplex) unto the unit simplex along a ray through the origin. Using a correspondence between local and global ray-projection dynamics we prove that every interior evolutionarily stable strategy is an asymptotically stable fixed point. We also show that every strict equilibrium is an evolutionarily stable state and an evolutionarily stable equilibrium. Then, we employ several projections on a wider set of functions derived from the payoff structure. This yields an interesting class of so-called generalized projection dynamics which contains best-response, logit, replicator, and Brown-Von-Neumann dynamics among others.

Keywords: evolutionary game theory; projection dynamics; orthogonal projection; ray projection; asymptotical and evolutionary stability Length 27 pages (search for similar items in EconPapers)
JEL-codes: A12 C62 C72 C73 D83 (search for similar items in EconPapers)
Date: 2008-10
New Economics Papers: this item is included in nep-evo and nep-gth
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:esi:evopap:2008-11

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