%A A.V. Kryazhimskiy %A G. Sonnevend %T Central Paths and Selection of Equilibria %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. %C IIASA, Laxenburg, Austria %D 1996 %I WP-96-039 %L iiasa4987