relation: https://pure.iiasa.ac.at/id/eprint/4987/ title: Central Paths and Selection of Equilibria creator: Kryazhimskiy, A.V. creator: Sonnevend, G. description: 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. publisher: WP-96-039 date: 1996-04 type: Monograph type: NonPeerReviewed format: text language: en identifier: https://pure.iiasa.ac.at/id/eprint/4987/1/WP-96-039.pdf identifier: Kryazhimskiy, A.V. & Sonnevend, G. (1996). Central Paths and Selection of Equilibria. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-96-039