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use efficiency which is not satisfied by the Banzhaf value. On the other hand, the Banzhaf value satisfies collusion … these axioms characterize the equal division solution. Further, we show that there is no solution that satisfies efficiency …, collusion neutrality and the null player property. Finally, we show that a solution satisfies efficiency, collusion neutrality …
Persistent link: https://www.econbiz.de/10011378796
A well known and simple game to model markets is the glove game where worth is produced by building matching pairs. For glove games, different concepts, like the Shapley value, the restricted Shapley value or the Owen value, yield different distributions of worth. Moreover, computational effort...
Persistent link: https://www.econbiz.de/10010211890
Recently, applications of cooperative game theory to economic allocation problems have gained popularity. In many of these problems, players are organized according to either a hierarchical structure or a levels structure that restrict players ́possibilities to cooperate. In this paper, we...
Persistent link: https://www.econbiz.de/10010532576
properties of the problem. A number of desirable properties is thus achieved, including static efficiency as well as efficient …
Persistent link: https://www.econbiz.de/10011457022
We use the Shapley value and the nucleolus to analyze the impact of three controversial pipeline projects on the power structure in the Eurasian trade of natural gas. Two pipelines, `Nord Stream' and `South Stream', allow Russian gas to bypass transit countries, Ukraine and Belarus. The third...
Persistent link: https://www.econbiz.de/10010490647
In standard coalition games, players try to form a coalition to secure a prize and a coalition agreement specifies how the prize is to be split among its members. However, in practical situations where coalitions are formed, the actual split of the prize often takes place after the coalition...
Persistent link: https://www.econbiz.de/10012550309
The value is a solution concept for n-person strategic games, developed by Nash, Shapley, and Harsanyi. The value of a game is an a priori evaluation of the economic worth of the position of each player, reflecting the players' strategic possibilities, including their ability to make threats...
Persistent link: https://www.econbiz.de/10012806287
In standard coalition games, players try to form a coalition to secure a prize and a coalition agreement specifies how the prize is to be split among its members. However, in practical situations where coalitions are formed, the actual split of the prize often takes place after the coalition...
Persistent link: https://www.econbiz.de/10012494898
In a liability problem, the asset value of an insolvent firm must be distributed among the creditors and the firm itself, when the firm has some freedom in negotiating with the creditors. We model the negotiations using cooperative game theory and analyze the Shapley value to resolve such...
Persistent link: https://www.econbiz.de/10012290304
The concept of fair representation of voters in a committee representing different voters' groups, such as national representations in union of states, is discussed. This concept, introduced into discussion about voting rights in the Council of European Union in 2004, was narrowed to proposal of...
Persistent link: https://www.econbiz.de/10003790289