We study a new type of representation problem for optional processes with connections to singular control, optimal stopping and dynamic allocation problems. As an application, we show how to solve a variant of Skorohod's obstacle problem in the context of backward stochastic differential...

We introduce and analyse numerical methods for the treatment of inverse problems, based on an adaptive wavelet Galerkin discretization. These methods combine the theoretical advantages of the wavelet-vaguelette decomposition (WVD) in terms of optimally adapting to the unknown smoothness of the...

In infinite horizon economies only local equivalence of beliefs is needed to ensure the existence of an Arrow-Debreu equilibrium. In fact, agents can even disagree completely in the long run in the sense that asymptotically, their beliefs are singular. -- Heterogeneous expectations ;...

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...

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...