In the paper two-person nonzero-sum semi-infinite games with bounded payoffs are studied — both with countable and uncountable infinite strategy space. Under some concavity/convexity assumptions they are shown to possess ε-equilibria (equilibria) in strategies with supports consisting of at...

This survey deals with two-sided matching markets where one set of agents (workers/residents) has to be matched with another set of agents (firms/hospitals). We first give a short overview of a selection of classical results. Then, we review recent contributions to a complex and representative...

Considered here is direct exchange of production allowances or input factors. Motivated by practical modeling and compution, we suppose every owner or user of such items has a linear technology. The issue is whether competitive market equilibrium can be reached merely via iterated bilateral...

The fertile application of cooperative game techniques to cost sharing problems on networks has so far concentrated on the Stand Alone core test of fairness and/or stability, and ignored many combinatorial optimization problems where this core can be empty. I submit there is much room for an...

In this paper, a design of strategies for players in pursuit-evasion games, is provided. The design incorporates players' preferences captured in their goal functions which are constructed using particular functional forms that include multiattribute copulas. The approach provides closed-form...

In this paper we study and compute E-points in an explicit way for a special kind of diagonal games with 3k + 1, 4k + 3 and sk + 1 players where 1 ≤ s ≤ k.

This is a brief survey describing some of the recent progress and open problems in the area of cooperative games with incomplete information. We discuss exchange economies, cooperative Bayesian games with orthogonal coalitions, and issues of cooperation in noncooperative Bayesian games.

In this paper, we give a historical overview of the transition from classical game theory to epistemic game theory. To that purpose we will discuss how important notions such as reasoning about the opponents, belief hierarchies, common belief, and the concept of common belief in rationality...

In this paper, we present a matching market in which an institution has to hire a set of pairs of complementary workers, and has a quota that is the maximum number of candidates pair positions to be filled. We define a stable solution and first show that in the unrestricted institution...

A value for games with a coalition structure is introduced, where the rules guiding cooperation among the members of the same coalition are different from the interaction rules among coalitions. In particular, players inside a coalition exhibit a greater degree of solidarity than they are...