In John Nash’s proofs for the existence of (Nash) equilibria basedon Brouwer’s theorem, an iteration mapping is used. A continuous—time analogue of the same mapping has been studied even earlier byBrown and von Neumann. This differential equation has recently beensuggested as a plausible...

This paper compares two decision rules available to myopic players who are repeatedly randomly matched to play a 2 x 2 symmetric game. Players using the simple decision rule evaluate the strategies by comparing their current playoffs to those of an opponent currently playing the other strategy,...

Using techniques from evolutionary game theory, we analyze potential games with continuous player sets, a class of games which includes a general model of network congestion as a special case. We concisely characterize both the complete set of Nash equilibria and the set of equilibria which are...