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service that generates the revenues. We focus on the study of the core of cost-revenue games. Under the assumption that … shown that a cost-revenue game has a non-empty core for any vector of revenues if, and only if, the dual game of the cost … game has a large core. Using this result, we investigate minimum cost spanning tree games with revenues. We show that if …
Persistent link: https://www.econbiz.de/10011257152
-convexity, under which the game is shown to have a non-empty core and the average tree solution lies in the core. In general, link …
Persistent link: https://www.econbiz.de/10011255465
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/10011256194
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/10011256545
Recently, applications of cooperative game theory to economic allocation problems have gained popularity. In many such … allocation problems, such as river games, queueing games and auction games, the game is totally positive (i.e., all dividends are … nonnegative), and there is some hierarchical ordering of the players. In this paper we introduce the 'Restricted Core' for such …
Persistent link: https://www.econbiz.de/10011256619
coalitions also their union is feasible. Properties of solutions (the core, the nucleolus, the prekernel and the Shapley value …
Persistent link: https://www.econbiz.de/10011257183
, these results state already that the set of Harsanyi payoff vectors is given by the core of an associated convex game, a …
Persistent link: https://www.econbiz.de/10011257230
shown that the core of a TU-game coincides with the core of the corresponding minimal rights game. Moreover, the paper … introduces the notion of the k-core cover as an extension of the core cover. The k-core cover of a TU-game consists of all … minimal rights game. It is shown that the core of a TU-game with player set N coincides with the ⌊|N |/2⌋-core cover …
Persistent link: https://www.econbiz.de/10011257257
structure is utilized to refine the core of the game. For every coalition the relative strength of a player within that … the collection of coalitions that can attain it, all players have the same power. The socially stable core is the set of … socially stable elements of the core. We show that the socially stable core is non-empty if the game itself is socially stable …
Persistent link: https://www.econbiz.de/10011257354
agent depends on the amount of water consumed by the agent. An allocation of the water among the agents is efficient when it … maximizes the total benefits. To sustain an efficient water allocation, the agents can compensate each other by paying monetary … transfers. Every water allocation and transfer schedule yields a welfare distribution, where the utility of an agent is equal to …
Persistent link: https://www.econbiz.de/10011257471