This chapter studies the theory of value of games with infinitely many players.Games with infinitely many players are …-handed influence. The interactions are modeled as cooperative games with a continuum of players. In general, the continuum consists of … framework for mathematical analysis, and approximates the results for large finite games well. Also, it enables a unified view …

In this paper we introduce games with optimistic aspirations and identify attractive allocation rules for such games … not included in the coalition. We explain games with optimistic aspirations as well as our motivation for introducing such … games by means of an example …

Previous allocation rules for network games, such as the Myerson Value, implicitly or explicitly take the network … alternative network structures (not just sub-networks) can and should influence the allocation of value among players on any given … network structure. I present a family of allocation rules that incorporate information about alternative network structures …

an allocation rule. We will show that this new variant of cooperative games – like the original linear LPG – is balanced …, hence, has a nonempty core, and that we can obtain an allocation in the core by using the shadow prices of the flexible …

portfolios' realization vectors, risk allocation games aim at solving the second problem: How to distribute the diversification … allocations of risk. We show that the class of risk allocation and totally balanced games coincide hence a stable allocation of … allocation games coincides with the class of exact games. As in exact games any subcoalition may be subject to marginalization …

not only the problem of maximizing the total joint reward, but also the allocation of these rewards among the agents …. Analyzing these situations a new class of transferable utility games is introduced, called multipurpose resource games. These … games are based on the bankruptcy model, as introduced by O'Neill (1982). It is shown that every multipurpose resource game …

precision. -- Fair Division ; Maxmin Allocation ; Kalai Bargaining Solution ; Cooperative Game Theory …