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We use the Shapley value and the nucleolus to analyze the impact of three controversial pipeline projects on the power structure in the Eurasian trade of natural gas. Two pipelines, `Nord Stream' and `South Stream', allow Russian gas to bypass transit countries, Ukraine and Belarus. The third...
Persistent link: https://www.econbiz.de/10010490647
Recently, applications of cooperative game theory to economic allocation problems have gained popularity. In many of …
Persistent link: https://www.econbiz.de/10010532576
The value is a solution concept for n-person strategic games, developed by Nash, Shapley, and Harsanyi. The value of a game is an a priori evaluation of the economic worth of the position of each player, reflecting the players' strategic possibilities, including their ability to make threats...
Persistent link: https://www.econbiz.de/10012806287
We propose and characterize weighted-egalitarian values for cooperative transferable utility games. Each weighted-egalitarian value divides the worth of the grand coalition into two parts and allocates them through equality and proportionality based on exogenous player weights. We characterize...
Persistent link: https://www.econbiz.de/10014505372
We introduce a theory on marginal values and their core stability for cooperative games with arbitrary coalition … structure. The theory is based on the notion of nested sets and the complex of nested sets associated to an arbitrary set system …
Persistent link: https://www.econbiz.de/10014175740
We study transferable utility games with limited cooperation between the agents. The focus is on communication structures where the set of agents forms a circle, so that the possibilities of cooperation are represented by the connected sets of nodes of an undirected circular graph. Agents are...
Persistent link: https://www.econbiz.de/10014177966
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
In this paper we provide new axiomatizations of the Shapley value for TU-games using axioms that are based on relational aspects in the interactions among players. Some of these relational aspects, in particular the economic or social interest of each player in cooperating with each other, can...
Persistent link: https://www.econbiz.de/10014041073
We consider a cooperative game with a bipartition that indicates which players are participating. This paper provides an analytical solution for the Shapley value when the worth of a coalition only depends on the number of participating coalition players. The computational complexity grows...
Persistent link: https://www.econbiz.de/10014042718
We introduce an efficient solution for games with communication graph structures and show that it is characterized by efficiency, fairness and a new axiom called component balancedness. This latter axiom compares for every component in the communication graph the total payoff to the players of...
Persistent link: https://www.econbiz.de/10014043850