TY - BOOK

T1 - Generalized projection dynamics in evolutionary game theory

AU - Joosten, Reinoud A.M.G.

AU - Roorda, Berend

PY - 2009/1/30

Y1 - 2009/1/30

N2 - We introduce the ray-projection dynamics in evolutionary game
theory by employing a ray projection of the relative �tness (vector)
function both locally and globally. By global (local) ray projection we
mean a projection of the vector (close to the unit simplex) unto the unit
simplex along a ray through the origin. For these dynamics, we prove
that every interior evolutionarily stable strategy is an asymptotically
stable �xed point, and that every strict equilibrium is an evolutionarily
stable state and an evolutionarily stable equilibrium.
Then, we employ these projections on a set of functions related to
the relative �tness function which yields a class containing e.g., best-
response, logit, replicator, and Brown-Von-Neumann dynamics.

AB - We introduce the ray-projection dynamics in evolutionary game
theory by employing a ray projection of the relative �tness (vector)
function both locally and globally. By global (local) ray projection we
mean a projection of the vector (close to the unit simplex) unto the unit
simplex along a ray through the origin. For these dynamics, we prove
that every interior evolutionarily stable strategy is an asymptotically
stable �xed point, and that every strict equilibrium is an evolutionarily
stable state and an evolutionarily stable equilibrium.
Then, we employ these projections on a set of functions related to
the relative �tness function which yields a class containing e.g., best-
response, logit, replicator, and Brown-Von-Neumann dynamics.

KW - IR-97453

KW - dynamic and evolutionary stability

KW - ray-projection dynamics

KW - Evolutionary games

M3 - Report

BT - Generalized projection dynamics in evolutionary game theory

PB - University of Twente

CY - Enschede, the Netherlands

ER -