@techreport{iiasa4987, month = {April}, type = {IIASA Working Paper}, title = {Central Paths and Selection of Equilibria}, address = {IIASA, Laxenburg, Austria}, publisher = {WP-96-039}, year = {1996}, url = {https://pure.iiasa.ac.at/id/eprint/4987/}, abstract = {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.}, author = {Kryazhimskiy, A. V. and Sonnevend, G.} }