In many share problems there is an a priori given a natural set of possible divisions to solve the sharing problem. Cooperative games related to such share sets are introduced, which may be helpful in solving share problems. Relations between properties of share sets and properties of games are...

Under dynamic cooperation a player may use 'irrational' acts to extort additional gains if later circumstances allow. In this article we present a condition under which even if irrational behaviors appear later in the game the concerned player would still be performing better under the...

The literature on normal form games generally depicts the payoff matrices of two or three players. However, many such games discuss n-players. Therefore, this note studies the payoff representations of n-player normal form games.

In this paper we introduce two simple versions of the hat game for three players and a generalization for n players. We compute the extensive version of the game and all the equilibrium and friendly equilibrium points as a simple example of the structure function.

We study strategic games where players' preferences are weak orders which need not admit utility representations. First of all, we extend Voorneveld's concept of best-response potential from cardinal to ordinal games and derive the analogue of his characterization result: An ordinal game is a...

The paper studies a game of common interest played infinitely many times between two players, one being aspiration driven while the other being a myopic optimizer. It is shown that the only two long run stationary outcomes are the two static equilibrium points. Robustness of long run behavior is...

Addressing the international threat of invasive species to biodiversity worldwide requires an international context due to the nature of the transboundary pollution. This paper presents a comparison of strategies to address the invasive species problem in noncooperative versus cooperative...

Value functions of differential games with L∞ criterion over infinite horizon are known to possess poor regularity. As an alternative to generalized solutions of the Isaacs equation, that usually requires some regularity properties, we propose a characterization of the value functions using...

We explore the relationship between proportionality and manipulation (via merging or splitting agents' claims) in bankruptcy problems. We provide an alternative proof to the well-known result that, in an unrestricted domain, immunity to manipulation is equivalent to requiring proportional...

A model of coalition government formation is presented in which inefficient, non-minimal winning coalitions may form in Nash equilibrium. Predictions for five games are presented and tested experimentally. The experimental data support potential maximization as a refinement of Nash equilibrium....