Showing 1 - 10 of 22
Persistent link: https://www.econbiz.de/10005598339
By generalizing the standard solution for 2-person games into n-person cases, this paper develops a new solution concept for cooperative games: the consensus value.We characterize the consensus value as the unique function that satisfies efficiency, symmetry, the quasi dummy property and...
Persistent link: https://www.econbiz.de/10011092734
The T -measure is introduces as a method to rank the nodes in a digraph competition.It coincides with the T -value of an associated transferable utility game, the so-called digraph game.The T -measure is characterized in two ways.One of them is based on a characterization of the T -value in...
Persistent link: https://www.econbiz.de/10011092926
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AMS classification: 90D12
Persistent link: https://www.econbiz.de/10011086852
A competition which is based on the results of (partial) pairwise comparisons can be modelled by means of a directed graph.Given initial weights on the nodes in such digraph competitions, we view the measurement of the importance (i.e., the cardinal ranking) of the nodes as an allocation problem...
Persistent link: https://www.econbiz.de/10011087202
A highway problem is determined by a connected graph which provides all potential entry and exit vertices and all possible edges that can be constructed between vertices, a cost function on the edges of the graph and a set of players, each in need of constructing a connection between a specific...
Persistent link: https://www.econbiz.de/10011090618
AMS classifications: 90D12, 90B05.
Persistent link: https://www.econbiz.de/10011090632
This paper considers a special class of sequencing situations with two parallel machines in which each agent has precisely two jobs to be processed, one on each machine.The costs of an agent depend linearly on the final completion time of his jobs.We describe a procedure that provides an optimal...
Persistent link: https://www.econbiz.de/10011090749
This paper shows how problems in `non life'-insurance and `non life'-reinsurance can be modelled simultaneously as cooperative games with stochastic payoffs.Pareto optimal allocations of the risks faced by the insurers and the insureds are determined.It is shown that the core of the...
Persistent link: https://www.econbiz.de/10011090807