%0 Report
%9 IIASA Working Paper
%A Kryazhimskiy, A.V.
%A Sonnevend, G.
%C IIASA, Laxenburg, Austria
%D 1996
%F iiasa:4987
%T Central Paths and Selection of Equilibria
%U https://pure.iiasa.ac.at/id/eprint/4987/
%X For two populations of players playing repeatedly a same bimatrix game, a dynamics associated with the method of analytic centers for linear programming is described. All populations' evolutions converge to static equilibria. All evolutions starting in a same connected set converge to a same equilibrium. If a starting time is sufficiently large, "almost all" evolutions end up at a single equilibrium representing all populations' pure strategy groups (phenotypes) with nonzero proportions. The dynamics is interpreted as populations' rule to learn best replying.