Showing 1 - 10 of 17
We show that the Owen value for TU games with coalition structure can be characterized without the additivity axiom similarly as it was done by Young for the Shapley value for general TU games. Our axiomatization via four axioms of efficiency, marginality, symmetry across coalitions, and...
Persistent link: https://www.econbiz.de/10010847889
In the framework of values for TU-games, it is shown that a particular type of consistency, called linear consistency, together with some kind of standardness for two-person games, imply efficiency, anonymity, linearity, as well as uniqueness of the value. Among others, this uniform treatment...
Persistent link: https://www.econbiz.de/10005375581
A game with restricted cooperation is a triple (N,v,Ω), where N is a finite set of players, Ω⊂2N is a nonempty collection of feasible coalitions such that N∈Ω, and v:Ω→R is a characteristic function. The definition implies that if Ω=2N, then the game (N,v,Ω)=(N,v) is the classical...
Persistent link: https://www.econbiz.de/10011065138
One of the important properties characterizing cooperative game solutions is consistency. This notion establishes connections between the solution vectors of a cooperative game and those of its reduced game. The last one is obtained from the initial game by removing one or more players and by...
Persistent link: https://www.econbiz.de/10005755680
Persistent link: https://www.econbiz.de/10005175459
For cooperative games with transferable utilities (TU games) excess functions e : R2 ! R1 whose values e(x(S); v(S)); S N are relative negative utilities of coalitions S with respect to their payos x(S) = Pi2S xi are dened. The excess values for the class of two-person games are dened as those...
Persistent link: https://www.econbiz.de/10010717774
The egalitarian solution for the class of convex TU games was defined by Dutta and Ray [1989] and axiomatized by Dutta 1990. An extension of this solution — the egalitarian split-off set (ESOS) — to the class of non-levelled NTU games is proposed. On the class of TU games it coincides with...
Persistent link: https://www.econbiz.de/10009018945
This discussion paper resulted in a publication in 'Economics Letters', 2012, 117, 786-789.<P> 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...</p>
Persistent link: https://www.econbiz.de/10011256656
TU games with two-level communication structure, in which a two-level communication structure relates fundamentally to the given coalition structure and consists of a communication graph on the collection of the a priori unions in the coalition structure, as well as a collection of communication...
Persistent link: https://www.econbiz.de/10011183208
It is well-known that the prekernel on the class of TU games is uniquely determined by non-emptiness, Pareto efficiency (EFF), covariance under strategic equivalence (COV), the equal treatment property, the reduced game property (RGP), and its converse. We show that the prekernel on the class of...
Persistent link: https://www.econbiz.de/10010847974