It is well-known that non-cooperative and cooperative game theory may yield different solutions to games. These differences are particularly dramatic in the case of truels, or three-person duels, in which the players may fire sequentially or simultaneously, and the games may be one-round or...

We show that any transferable utility game can be represented by an assignment of facilities to players, in which it is intuitively obvious how to allocate the total cost of the facilities. The intuitive solution in the representation turns out to be the Shapley value of the game, and thus...

The Shapley-Shubik index is a specialization of the Shapley value and is widely applied to evaluate the power distribution in committees drawing binary decisions. It was generalized to decisions with more than two levels of approval both in the input and the output. The corresponding games are...

A new model of TU game is introduced and studied. Here apart from the characteristic function, two additional functions are used: relations between the players and the probability of coalition formation. We suggest and study the sufficient properties of the probability function to transform it...

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...

The Hart-and-Mas-Colell bargaining model [Hart and Mas-Colell (2010). “Bargaining and Cooperation in Strategic Form Games.” Journal of the European Economics Association, 8, 7-33], which is based on strategic form games, is a very promising model possessing many beautiful features....

In a model where cooperation is beneficial, but subject to cheating, and is supported by trigger strategy punishments in a repeated game, we explore the relationship between the nature of cooperation (size and composition of coalitions) and underlying inequality in the distribution of private...

There are situations in which competitors ally to pursue a common objective. This simultaneous presence of cooperation and competition is called coopetition and we study it theoretically and experimentally in a group contest setup. More concretely, we analyze a group contest with a new sharing...

What is the role of intuitive versus deliberative cognitive processing in human cooperation? The Social Heuristics Hypothesis (SHH) stipulates that (i) intuition favors behaviors that are typically advantageous (i.e. long-run payoff-maximizing), and that for most people cooperation is typically...