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introduce the corresponding TU-games. The core, as well as the two friendly solutions for the corners of the market, in this …
Persistent link: https://www.econbiz.de/10011011322
This paper is concerned with the question of how to define the core when cooperation takes place in a dynamic setting …-games. Three different core concepts are presented: the classical core, the strong sequential core and the weak sequential core …. Sufficient conditions are given for nonemptiness of the classical core in general and of the weak sequential core for the case of …
Persistent link: https://www.econbiz.de/10005050933
Weak Sequential Core and their characterization result. We also provide the remedy, a modification of the definition, to …
Persistent link: https://www.econbiz.de/10009018942
In this paper we introduce a new class of cooperative games. We define a characteristic function over the cycles of a digraph. We present a mathematical model for this situation and an axiomatic characterization of a solution for this class of cooperative games. This is introduced as a method to...
Persistent link: https://www.econbiz.de/10010883242
the Stand Alone core test of fairness and/or stability, and ignored many combinatorial optimization problems where this … core can be empty. I submit there is much room for an axiomatic discussion of fair division in the latter problems, where …
Persistent link: https://www.econbiz.de/10011011311
In this paper, we explain why the field of cost allocation problems with a coalition structure is a wide and promising unexplored research direction. In particular, we pose some open questions for airport games with a coalition structure.
Persistent link: https://www.econbiz.de/10011011336
The pre-nucleolus is a popular egalitarian solution concept for cost-sharing games. A drawback of this concept is that an associated cost allocation often cannot be calculated in polynomial time. Therefore, it would be convenient to know whether the pre-nucleolus of a particular game coincides...
Persistent link: https://www.econbiz.de/10005081018
This paper aims to give a global vision concerning the state of the art of studies on 13 power indices and to establish which of them are more suitable for describing the real situations which are, from time to time, taken into consideration. In such contexts, different comparisons have been...
Persistent link: https://www.econbiz.de/10010671633
The paper presents some issues currently under studying in the field of Cooperative Games. The related open problems are also mentioned.
Persistent link: https://www.econbiz.de/10010671634
This paper presents a review of literature on simple games and highlights various open problems concerning such games; in particular, weighted games and power indices.
Persistent link: https://www.econbiz.de/10010671636