The study of evolutionary dynamics was so far mainly restricted to finite strategy spaces. In this paper we show that this restriction is in most cases unnecessary. We give a mild condition under which the continuous time replicator dynamics are well defined for infinite strategy spaces....

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,...

In a recent paper Bagwell (1995) pointed out that only the Cournot outcome, but not the Stackelberg outcome, can be supported by a pure Nash equilibrium when actions of the Stackelberg leader are observed with the slightest error. The Stackelberg outcome, however, remains close to the outcome of...

The endowment effect describes the fact that people demand much more to give up an object than they are willing to spend to acquire it. The existence of this effect has been documented in numerous experiments. We attempt to explain this effect by showing that evolution favors individuals whose...

In the heterogeneous experimental oligopoly markets of this paper, sellers first choose capacities and then prices. In equilibrium, capacities should correspond to the Cournot prediction. In the experimental data, given capacities, observed price setting behavior is in general consistent with...

Studying evolutionarily successful behavior we show in a general framework that when individuals maximizing payoff differentials invest resources in punishing others. Interestingly, these investments are increasing in individuals, own wealth and decreasing in the wealth of others.

The findings on the ultimatum game are considered as belonging to the most robust experimental results. In this paper we present a slightly altered version of the mini ultimatum game of Bolton and Zwick (1995). Whereas in the latter exactly equal splits were feasible in our games these were...

Whoever exists belongs to a species, which did not become extinct, has a (geno-) type, which should be well adjusted, and lives in a habitat which has been sustainable for a long time. To capture the first aspect we allow for interspecies competition and analyze the conditions for species...

We analyze the dynamics of a game of sequential bidding in the presence of stochastic scale effects in the form of stochastic economies or diseconomies of scale. We show that economies give rise to declining expected equilibrium prices, whereas the converse is not generally true. Moreover,...

The evolution of trustworthiness as a major aspect of business ethics depends crucially on whether it can be signaled. If this is impossible, only opportunistic traders will survive. Whereas previous studies have analysed detection agencies (Güth and Kliemt, 1994 and 1998) or have substituted...