Values of games with graph restricted communication and a priori unions
نویسندگان
چکیده
Two new values for transferable utility games with graph restricted communication and a priori unions are introduced and characterized. Moreover, a comparison between these and the Owen graph value is provided. These values are used to analyze the distribution of power in the Basque Parliament emerged from elections in April 2005.
منابع مشابه
Two Values for Transferable Utility Games with Coalition and Graph Structure
In this paper we introduce and characterize two new values for transferable utility games with graph restricted communication and a priori unions. Both values are obtained by applying the Shapley value to an associated TU-game. The graph-partition restricted TUgame is obtained by taking the Myerson graph restricted game and of that the Kamijo partition restricted game. In this game the dividend...
متن کاملAn Owen-type value for games with two-level communication structure
We introduce an Owen-type value for games with two-level communication structures, being structures where the players are partitioned into a coalition structure such that there exists restricted communication between as well as within the a priori unions of the coalition structure. Both types of communication restrictions are modeled by an undirected communication graph, so there is a communica...
متن کاملwo-step values for games with two-level communication structure
TU games with two-level communication structure, in which a two-level communication structure relates fundamentally to the given coalition structure and consists of a communication graph on the collection of the a priori unions in the coalition structure, as well as a collection of communication graphs within each union, are considered. For such games we introduce two families of two-step value...
متن کاملParallel characterizations of a generalized Shapley value and a generalized Banzhaf value for cooperative games with level structure of cooperation
We present parallel characterizations of two di erent values in the framework of restricted cooperation games. The restrictions are introduced as a nite sequence of partitions de ned on the player set, each of them being coarser than the previous one, hence forming a structure of di erent levels of a priori unions. On the one hand, we consider a value rst introduced in , 8), which extends the S...
متن کاملA modified position value for communication situations and its fuzzification
Myerson treated various situations of cooperation in the field of cooperative games and proposed the communication structure. In this paper, we define and characterize an allocation rule in terms of the position value, called an average spanning tree solution, for communication situations by introducing a concept of cooperation relationship which says that two players are deemed to possess this...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Mathematical Social Sciences
دوره 58 شماره
صفحات -
تاریخ انتشار 2009