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...

The first section briefly summarizes previous results in the literature. In the second section the concept of an Evolutionary Stable Strategy (ESS) is generalized for games with equivalent strategies. Dynamic stability results equivalent to the ones for the traditional definition of an ESS are...

Consider a decision maker who must coordinate his decision with the occurrence of some phenomenon. In order to behave "optimally," the circumstances surrounding the occurrence of the phenomenon must be learned. However, there are natural bounds on the capabilities of perception. More...