We find that contrary to common perception, cooperation as equilibrium of the infinitely repeated discounted prisoner's dilemma is in many relevant cases not very plausible, or at least questionable: for a significant subset of the payoff-discount factor parameter space cooperation equilibria...

Tucker's well-known combinatorial lemma states that for any given symmetric triangulation of the n-dimensional unit cube and for any integer labeling that assigns to each vertex of the triangulation a label from the set {1,2,...n,-1,-2,....-n} with the property that antipodal vertices on the...

We study the existence problem of a zero point of a function defined on a finite set of elements of the integer lattice of the n-dimensional Euclidean space. It is assumed that the set is integrally convex, which implies that the convex hull of the set can be subdivided in simplices such that...

In this paper we present two general results on the existence of a discrete zero point of a function from the n-dimensional integer lattice Zn to the n-dimensional Euclidean space Rn. Under two different boundary conditions, we give a constructive proof using a combinatorial argument based on a...

It is well known that an upper semi-continuous compact- and convex-valued mapping fi from a nonempty compact and convex set X to the Euclidean space of which X is a subset has at least one stationary point, being a point in X at which the image fi(x) has a nonempty intersection with the normal...

In this paper an algorithm is proposed to find an integral solution of (nonlinear) complementarity problems. The algorithm starts with a nonnegative integral point and generates a unique sequence of adjacent integral simplices of varying dimension. Conditions are stated under which the algorithm...

We consider a leader and a subordinate he appoints who engage in team production. The public observes the organization's performance, but is unable to determine the separate contributions of the leader and of the subordinate. The leader may therefore claim credit for the good work of his...

In this paper, I study the wage a firm sets to attract high abilityworkers (hipo's) in situationsof unemployment. I show that the higher unemployment, the larger afirm's incentives to sorthigh and low ability workers. Moreover, workers will signal their(high) ability in situationsof (high)...

I consider a situation in which heterogenous senders (applicants) compete in order to be selected by one receiver (employer). Productivity is private information to the senders, and the receiver processes imperfect signals (applications) to screen among applicants. The information-processing...