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We consider the problem of axiomatizing the Shapley value on the class of assignment games. We first show that several axiomatizations of the Shapley value on the class of all TU-games do not characterize this solution on the class of assignment games by providing alternative solutions that...
Persistent link: https://www.econbiz.de/10014040150
This chapter surveys a class of solution concepts for n -person games without transferable utility — NTU games for short — that are based on varying notions of “fair division”. An NTU game is a specification of payoffs attainable by members of each coalition through some joint course of...
Persistent link: https://www.econbiz.de/10014024490
nonnegative), and there is some hierarchical ordering of the players. In this paper we introduce the 'Restricted Core' for such … of the players. For totally positive games this solution is always contained in the 'Core', and contains the well … coalitions). For special orderings it equals the Core, respectively Shapley value. We provide an axiomatization and apply this …
Persistent link: https://www.econbiz.de/10011378242
A situation in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A (single-valued) solution for TU-games assigns a payoff distribution to every TU-game. A well-known solution is the...
Persistent link: https://www.econbiz.de/10011378792
Harsanyi set is related to the Core and Weberset. We also characterize the Harsanyi mapping as the unique mappingsatisfying a …
Persistent link: https://www.econbiz.de/10011313932
Persistent link: https://www.econbiz.de/10009720713
concentrate on one solution concept: the core. First we examine the basic model and then we consider several variations that are …
Persistent link: https://www.econbiz.de/10013008230
costs such that each agent demands consecutive sections. We show that the core, the prenucleolus, and the Shapley value on … associated games do not occur. The main axioms for the core and the nucleolus are consistency properties based on the reduced …
Persistent link: https://www.econbiz.de/10013019777
Minimum-cost spanning tree problems are well-known problems in the operations research literature. Some agents, located at different geographical places, want a service provided by a common supplier. Agents will be served through costly connections. Some part of the literature has focused,...
Persistent link: https://www.econbiz.de/10012503905
players. Data games are subadditive but generally not concave, and have a nonempty core. We characterize the core and compute …
Persistent link: https://www.econbiz.de/10012725447