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We apply the splitting method to three well-known counting problems, namely 3-SAT, random graphs with prescribed … degrees, and binary contingency tables. We present an enhanced version of the splitting method based on the capture …
Persistent link: https://www.econbiz.de/10008916010
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 distributions (possibly empty or consisting of a unique element) to every...
Persistent link: https://www.econbiz.de/10005209512
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
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/10005144441
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
In this paper we consider the problem of the control of access to a firm's productive asset, embedding the relevant decision makers into a general structure of formal authority relations. Within such an authority structure, each decision maker acts as a principal to some decision makers, while...
Persistent link: https://www.econbiz.de/10005144514
Cooperative games with partial cooperation cover a wider rank of real world situations than the classic model of cooperative games where every subset of a set of agents can form a coalition to execute the game. In this paper, the set of feasible coalitions which models the partial cooperation...
Persistent link: https://www.econbiz.de/10009293667
A situation in which a finite set of agents can generate certain payoffs by cooperation can be described by a cooperative game with transferable utility (or simply a TU-game) where each agent is represented by one player in the game. In this paper, we assume that one agent can be represented by...
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