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Recently, applications of cooperative game theory to economic allocation problems have gained popularity. In many such allocation problems, such as river games, queueing games and auction games, the game is totally positive (i.e., all dividends are nonnegative), and there is some hierarchical...
Persistent link: https://www.econbiz.de/10005016260
One of the main issues in economics is the trade-off between marginalism and egalitarianism. In the context of cooperative games this trade-off can be framed as one of choosing to allocate according to the Shapley value or the equal division solution. In this paper we provide tools that make it...
Persistent link: https://www.econbiz.de/10005144455
Recently, cooperative game theory has been applied to various economic allocation problems in which players are not fully anonymous but belong to some relational structure. One of the most developed models in this respect are communications situations or (symmetric) network situations in which...
Persistent link: https://www.econbiz.de/10005144486
considers the agents in the most unified way in the sense that when an agent enters a coalition then it enters with all its …
Persistent link: https://www.econbiz.de/10009391880
We consider cooperative transferable utility games, or simply TU-games, with a limited communication structure in which players can cooperate if and only if they are connected in the communication graph. A difference between the restricted Banzhaf value and the Myerson value (i.e. the Shapley...
Persistent link: https://www.econbiz.de/10008513218
A situation in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A solution for TU-games assigns a set of payoff vectors to every TU-game. Some solutions that are based on distributing...
Persistent link: https://www.econbiz.de/10005136896
Recently, applications of cooperative game theory to economic allocation problems have gained popularity. To understand these applications better, economic theory studies the similarities and differences between them. The purpose of this paper is to investigate a special class of cooperative...
Persistent link: https://www.econbiz.de/10005136928
.e. players who contribute nothing to any coalition. We show that in these characterizations, replacing null players by zero … players characterizes the egalitarian solution, where a player is a zero player if every coalition containing this player …
Persistent link: https://www.econbiz.de/10005450812
a player such that any coalition containing this player earns a fraction delta in [0,1] of the worth of that coalition …
Persistent link: https://www.econbiz.de/10008838630
A situation in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A (single-valued) solution for TU-games assigns a payoff distribution to every TU-game. A well-known solution is the...
Persistent link: https://www.econbiz.de/10004964460