This chapter studies the theory of value of games with infinitely many players.Games with infinitely many players are models of interactions with many players. Often most of the players are individually insignificant, and are effective in the game only via coalitions. At the same time there may...

Agents involved in a conflicting claims problem may be concerned with the proportion of their claims that is satisfied, or with the total amount they get. In order to relate both perspectives, we associate to each conflicting claims problem a bargaining-in-proportions set. Then, we obtain a...

The conflict between pro-self and pro-social behaviour is at the core of many key problems of our time, as, for example, the reduction of air pollution and the redistribution of scarce resources. For the well-being of our societies, it is thus crucial to find mechanisms to promote pro-social...

We study the formation of coalitions that provide public goods to members. Individuals are linked on a tree graph and those with similar preferences are connected on the tree. We present a well-defined solution that selects envy-free allocations from the core

A group of players in a cooperative game are partners (e.g., as in the form of a union or a joint ownership) if the prospects for cooperation are restricted such that cooperation with players outside the partnership requires the accept of all the partners. The formation of such partnerships...

By generalizing the standard solution for 2-person games into n-person cases, this paper develops a new solution concept for cooperative games: the consensus value. We characterize the consensus value as the unique function that satisfies efficiency, symmetry, the quasi dummy property and...

This paper analyzes a family of rules for bankruptcy problems that generalizes the socalled reverse Talmud rule and encompasses both the constrained equal-awards rule and the constrained equal-losses rule. The family, introduced by van den Brink et al., [Characterization of the reverse Talmud...

The application of game theory and cognitive economy to analyze the problem of undesired location - The analysts of the processes of public bodies decision - taking have long been discussing on the establishment of proper strategies to manage "environmental conflicts" - above all the so-called...

This paper examines how neutral the current EU decision-making procedures are to membership and how well they obey certain transparent general constitutional principles. The paper evaluates the performance of the procedures by strategic and classical power indices. The main emphasis in the...

We consider the problem where agents bargain over their shares of a perfectly divisible commodity. The aim of this paper is to identify the class of bargaining solutions induced by dominant strategy implementable allocation rules. To this end, we characterize the class of dominant strategy...