Consider a game with a finite set of players. A coalition is a nonempty subset of the set of players. A coalitional game with transferable payoff consists of (1) a finite set of players, N (2) a function v : S ⊆ N −→ R. The value of the function for a given S, v(S) is known as the worth of the coalition S. v(S) is the total payoff that is available for division among the members of the coalitio...

This paper studies an exchange economy with a nite number of agents in which each agent is initially endowed with a nite number of (personalized) indivisible commodities. We observe that the equivalence theorem of the core and the competitive equilibrium may not hold for this economy when the coalitional form game is generated in the standard manner. We provide an alternative de nition of the c...

In this paper we view bargaining and cooperation as an interaction superimposed on a strategic form game. A multistage bargaining procedure for N players, the “proposer commitment” procedure, is presented. It is inspired by Nash’s two-player variable-threat model; a key feature is the commitment to “threats.” We establish links to classical cooperative game theory solutions, such as the Shapley...

The aim of the paper is to bring to the realm of game theory the well-known deontic notion of contrary-to-duty (CTD) obligation, so far not investigated in relation to optimality of strategic decisions. We maintain that, under a game-theoretical semantics, CTDs are well-suited to treat sub-ideal decisions. We also argue that, in a wide class of interactions, CTDs can used as a compact represent...

This paper introduces a class of coalitional games, called pillage games, as a model of Hobbesian anarchy. Any coalition can pillage, costlessly and with certainty, any less powerful coalition. Power is endogenous, so a pillage game does not have a characteristic function, but pillage provides a domination concept that defines a stable set, which represents an endogenous balance of power. Every...

Cooperative boolean games are coalitional games with both goals and costs associated to actions, and dependence networks for boolean games are a kind of social networks representing how the actions of other agents have an influence on the achievement of an agent’s goal. In this paper, we introduce two new types of dependence networks, called the abstract dependence network and the refined depen...

We show that the least core of a TU coalitional game with a finite set of players is contained in the Mas-Colell bargaining set. This result is extended to games with a measurable space of players in which the worth of the grand coalition is at least that of any other coalition in the game. As a consequence, we obtain an existence theorem for the Mas-Colell bargaining set in TU games with a mea...

This paper studies the core of combined games, obtained by summing two coalitional games. It is shown that the set of balanced transferable utility games can be partitioned into equivalence classes of component games to determine whether the core of the combined game coincides with the sum of the cores of its components. On the other hand, for non-balanced games, the binary relation associating...