The Shapley value of a cooperative transferable utility game distributes the dividendof each coalition in the game equally among its members. Given exogenous weightsfor all players, the corresponding weighted Shapley value distributes the dividendsproportionally to their weights. In this...

We study a particular class of cost sharing games – "data games" – covering situations wheresome players own data which are useful for a project pursued by the set of all players. Theproblem is to set up compensations between players. Data games are subadditive butgenerally not concave, and...

Ordinarily, the process of decision making by a committee through voting is mod-elled by a monotonic game the range of whose characteristic function is restricted tof0; 1g: The decision rule that governs the collective action of a voting body induces ahierarchy in the set of players in terms of...

Few studies on federalism analyze the role of courts as safeguards of the federal arrangement, and those that do tend to be too optimistic about what courts can do. This article analyzes the effect of judicial review on the interaction between the central and a regional government in a...

In the beginning of the second book of his Politeia (Republic) Plato in passage 2.358e-359a-c raises the issue of the administration of justice as a means of motivating people to behave fairly regarding their relationships and when cooperating with each other because, at the end, this is...

Lloyd Shapley is considered one of the pioneers of game theory. His most prominent contributions are the inception and study of value theory and core theory. These two theories are the key to solving problems involving the allocation of goods or payoffs achievable through cooperation....

A multi-choice game is a generalization of a cooperative game in which each player has several activity levels.This note provides several characterizations of the extended Shapley value as proposed by Derks and Peters (1993).Three characterizations are based on balanced contributions properties,...

In this paper we characterize the class of games for which the core coincides with the core cover (compromise stable games).Moreover we will develop an easy explicit formula for the nucleolus for this class of games, using an approach based on bankruptcy problems.Also the class of convex...

This study considers a simple newsvendor situation that consists of n retailers, all selling the same item with common purchasing costs and common selling prices.Groups of retailers might increase their expected joint profit by inventory centralization, which means that they make a joint order...

Most of the known efficient algorithms designed to compute the nucleolus for special classes of balanced games are based on two facts: (i) in any balanced game, the coalitions which actually determine the nucleolus are essential; and (ii) all essential coalitions in any of the games in the class...