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Persistent link: https://www.econbiz.de/10003660207
This paper analyzes convex congestion network problems. It is shown that for network problems with convex congestion … costs, an algorithm based on a shortest path algorithm, can be used to find an optimal network for any coalition …. Furthermore, an easy way of determining if a given network is optimal is provided …
Persistent link: https://www.econbiz.de/10014069993
Power indices are mappings that quantify the influence of the members of a voting body on collective decisions a priori. Their nonlinearity and discontinuity makes it difficult to compute inverse images, i.e., to determine a voting system which induces a power distribution as close as possible...
Persistent link: https://www.econbiz.de/10009569626
In this note we consider the cooperative linear quadratic control problem. That is, the problem where a number of players, all facing a (different) linear quadratic control problem, decide to cooperate in order to optimize their performance.It is well-known, in case the performance criteria are...
Persistent link: https://www.econbiz.de/10012730099
We study a non-traditional cooperative game where returns from coalitions are nondeterministic. The long-standing concept of core can be generalized to reflect players' contentment with their allocations. It is now imperative to formalize the restrictions, such as those pertaining to...
Persistent link: https://www.econbiz.de/10012847133
In this article we derive necessary and sufficient conditions for the existence of Pareto optimal solutions for an N player cooperative infinite horizon differential game. Firstly, we write the problem of finding Pareto candidates as solving N constrained optimal control subproblems. We derive...
Persistent link: https://www.econbiz.de/10014194567
Games corresponding to semi-infinite transportation and related assignment situations are studied. In a semi-infinite transportation situation, one aims at maximizing the profit from the transportation of a certain good from a finite number of suppliers to an infinite number of demanders. An...
Persistent link: https://www.econbiz.de/10014143334
Previous allocation rules for network games, such as the Myerson Value, implicitly or explicitly take the network … structure as fixed. In many situations, however, the network structure can be altered by players. This means that the value of … alternative network structures (not just sub-networks) can and should influence the allocation of value among players on any given …
Persistent link: https://www.econbiz.de/10011591365
Previous allocation rules for network games, such as the Myerson Value, implicitly or explicitly take the network … structure as fixed. In many situations, however, the network structure can be altered by players. This means that the value of … alternative network structures (not just sub-networks) can and should influence the allocation of value among players on any given …
Persistent link: https://www.econbiz.de/10014076141
membership M and p(i; j) = p(j; i) = 0 if ij is not an element of M. The pair (M; p) is called a solution. A pair of players i; j …
Persistent link: https://www.econbiz.de/10011345044