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

We show in this paper that none of the existing static evolutionary stability concepts (ESS, CSS, uninvadability, NIS) is sufficient to guarantee dynamic stability in the weak topology with respect to standard evolutionary dynamics if the strategy space is continuous. We propose a new concept,...

This paper investigates the effects of different prize structures on the effort choices of participants in two-stage elimination contests. A format with a single prize is shown to maximize totaleffort over both stages, but induces low effort in stage 1 and high effort in stage 2. By contrast, a...

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

We show in this paper that none of the existing static evolutionary stability concepts (ESS, CSS, uninvadability, NIS) is sufficient to guarantee dynamic stability in the weak topology with respect to standard evolutionary dynamics if the strategy space is continuous. We propose a new concept,...

This paper analyzes a two-stage pairwise elimination contest with heterogeneous agents. It derives analytical expressions for equilibrium efforts in a setting where the two simultaneous stage-1 interactions are linked through endogenously determined continuation values.