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Title:Generalized projection dynamics in evolutionary game theory PDF Logo
Authors:Joosten, Reinoud
Roorda, Berend
Issue Date:2008
Series/Report no.:Papers on economics and evolution 0811
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.
JEL:A12
C62
C72
C73
D83
Document Type:Working Paper
Appears in Collections:Papers on Economics and Evolution, MPI für Ökonomik

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