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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
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...
Persistent link: https://www.econbiz.de/10011092611
Persistent link: https://www.econbiz.de/10011092622
AMS classifications: 90D12, 90C05, 90C34.
Persistent link: https://www.econbiz.de/10011092623
We consider the allocation of a finite number of indivisible objects to the same number of agents according to an exogenously given queue.We assume that the agents collaborate in order to achieve an efficient outcome for society.We allow for side-payments and provide a method for obtaining...
Persistent link: https://www.econbiz.de/10011092641
In this note we introduce an egalitarian solution, called the dual egalitarian solution, that is the natural counterpart of the egalitarian solution of Dutta and Ray (1989).We prove, among others, that for a convex game the egalitarian solution coincides with the dual egalitarian solution for...
Persistent link: https://www.econbiz.de/10011092654
In this paper we study a class of cooperative sequencing games that arise from one-machine sequencing situations in which chain precedence relations are imposed on the jobs.It is shown that these sequencing games are convex.
Persistent link: https://www.econbiz.de/10011092700
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
In this paper we consider information collecting (IC) situations where an action taker in an uncertain situation can improve his action choices by gathering information from some players who are more informed about the situation. Then the problem of sharing the gains when cooperating with...
Persistent link: https://www.econbiz.de/10011092881
The problem of financing a set of public goods (facilities, projects) by private contri- butions is studied. The corresponding cooperative game, the realization game, is shown to be convex. For the noncooperative setting we study a realization scheme that induces a strategic game. This...
Persistent link: https://www.econbiz.de/10011092905