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This discussion paper resulted in a publication in 'Games and Economic Behavior', 2010, 68, 626-633. <P> We study cooperative games with communication structure, represented by an undirected graph. Players in the game are able to cooperate only if they can form a network in the graph. A...</p>
Persistent link: https://www.econbiz.de/10011255465
In this paper we generalize the concept of coalitional games by allowingfor any organizational structure within coalitions represented by a graphon the set of players ot the coalition. A, possibly empty, set of payoffvectors is assigned to any graph on every subset of players. Such a gamewill be...
Persistent link: https://www.econbiz.de/10011255644
By a cooperative game in coalitional structure or shortly coalitional game we mean the standard cooperative non-transferable utility game described by a set of payoffs for each coalition that is a nonempty subset of the grand coalition of all players. It is well-known that balancedness is a...
Persistent link: https://www.econbiz.de/10005304897
Many economic and social situations can be represented by a digraph. Both axiomatic and iterative methods to determine the strength or power of all the nodes in a digraph have been proposed in the literature. We propose a new method, where the power of a node is determined by both the number of...
Persistent link: https://www.econbiz.de/10005304898
By a cooperative game in coalitional structure or shortly coalitional game we mean the standard cooperative non-transferable utility game described by a set of payoffs for each coalition that is a nonempty subset of the grand coalition of all players. It is well-known that balancedness is a...
Persistent link: https://www.econbiz.de/10005304936
In this paper we study cooperative games with limited cooperation possibilities, representedby an undirected cycle-free communication graph. Players in the game can cooperate if andonly if they are connected in the graph, i.e. they can communicate with one another. Weintroduce a new...
Persistent link: https://www.econbiz.de/10005304939
Let X be a non-empty, compact, convex set in R and an upper semi-continuous mapping from X to the collection of non-empty, compact, convex subsets in R. Its is well knwon that such a mapping has a stationary point in X, i.e. there exists a point in X satisfying that its image under has a...
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