For two-person complete-information strategic games with transferable utility, all major variable-threat bargaining and arbitration solutions coincide. This confluence of solutions by luminaries such as Nash, Harsanyi, Raiffa, and Selten, is more than mere coincidence. Staying in the class of two-person games with transferable unility, the present paper presents a more complete theory that expa...

As it is well known, the theory of cooperative games finds applications in many fields. The goal of this paper is to highlight some applications of cooperative games, resulting from the cooperation between the Universities of Bergamo and Krakow, and some related open problems. The paper is organized in three main sections. The first deals with the description of some specific fields where the t...

Cooperative games provide an appropriate framework for fair and stable resource allocation in multiagent systems. This paper focusses on monotone cooperative games, a class which comprises a variety of games that have enjoyed special attention within AI, in particular, skill games, connectivity games, flow games, voting games, and matching games. Given a threshold, each monotone cooperative gam...

Spectrum sharing in cognitive radio networks is essential to ensure effective communication between secondary users. Game theory is suitable to be applied to the spectrum sharing strategies since it considers strategic interactions between users. There are two types of games based on the ability to communicate between users: cooperative game and non-cooperative game. In this paper, the two spec...

A partially defined cooperative game is a coalition function form game in which some of the coalitional worths are not known. An application would be cost allocation of a joint project among so many players that the determination of all coalitional worths is prohibitive. This paper generalizes the concept of the Shapley value for cooperative games to the class of partially defined cooperative g...

The paradigm of randomly-furcating stochastic differential games incorporates additional stochastic elements via randomly branching payoffs in stochastic differential games. This paper considers dynamically stable cooperative solutions in randomly furcating stochastic differential games. Analytically tractable payoff distribution procedures contingent upon specific random realizations of the st...

A partially de ned cooperative game is a coalition function form game in which some of the coalitional worths are not known. An application would be cost allocation of a joint project among so many players that the determination of all coalitional worths is prohibitive. This paper generalizes the concept of the Shapley value for cooperative games to the class of partially de ned cooperative gam...

The compromise value is introduced for cooperative games with random payoffs, that is, for cooperative games where the payoff to a coalition of players is a random variable. It is a compromise between utopia payoffs and minimal rights. This solution concept is based on the compromise value for NTU games and the τ -value for TU games. It is shown that the nonempty core of a game is bounded by th...

Cooperative interval games are a generalized model of cooperative games in which the worth of every coalition corresponds to a closed interval representing the possible outcomes of its cooperation. Selections are all possible outcomes of the interval game with no additional uncertainty. We introduce new selection-based classes of interval games and prove their characterization theorems and rela...

Research on video games has yielded consistent findings that violent video games increase aggression and decrease prosocial behavior. However, these studies typically examined single-player games. Of interest is the effect of cooperative play in a violent video game on subsequent cooperative or competitive behavior. Participants played Halo II (a first-person shooter game) cooperatively or comp...