Template-Type:ReDIF-Paper 1.0 Title:Sophisticated Imitation in Cyclic Games Author-Name: Hofbauer, Josef Author-Name: Karl H. Schlag Classification-JEL: C72, C79 Keywords: single sampling, multiple sampling, improving, sequential proportional observation, replicator dynamics, aggregate monotone dynamics, Evolutionary Game Theory, Matching Pennies Abstract: Consider a large population of individuals that are repeatedly randomly matched to play a cyclic 2x2 game such as Matching Pennies with fixed roles assigned in the game. Some learn by sampling previous play of a finite number of other individuals in the same role. We analyze population dynamics under optimal boundedly rational behavior (in the sense of Schlag, 1998c). We find that long run play is close to the Nash equilibrium (when few individuals receive information) if and only if the sample size is greater than one. Length: pages Creation-Date: Revision-Date: 1998-03 Handle: RePEc:bon:bonsfb:427 File-URL: http://www.wiwi.uni-bonn.de/bgsepapers/bonsfb/bonsfb427.pdf File-Format: application/pdf File-Size: 2765209 bytes