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In the paper we present an application of the generalized Owen value, defined in our former work, for partition function form games. We apply this value to simple games, modeling multicandidate or multioptional voting. We also present an example of application of this concept to measuring the...
Persistent link: https://www.econbiz.de/10011010540
This discussion paper resulted in a publication in the 'Annals of Operations Research' (forthcoming).<P> We introduce an Owen-type value for games with two-level communication structures, being structures where the players are partitioned into a coalition structure such that there exists restricted...</p>
Persistent link: https://www.econbiz.de/10011255614
We provide an axiomatization-based justification for applying the Owen value to decompose R2 in OLS models if prior knowledge can be used to form groups of regressor variables. The assumptions made by the axioms are not only plausible with respect to the variables but also clarify the meaning of...
Persistent link: https://www.econbiz.de/10009372211
A well known and simple game to model markets is the glove game where worth is produced by building matching pairs. For glove games, diff erent concepts, like the Shapley value, the restricted Shapley value or the Owen value, yield diff erent distributions of worth. Moreover, computational eff...
Persistent link: https://www.econbiz.de/10010723155
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
A value for games with a coalition structure is introduced, where the rules guiding the cooperation among the members of the same coalition are different from the interaction rules among coalitions. In particular, players inside a coalition exhibit a greater degree of solidarity than they are...
Persistent link: https://www.econbiz.de/10008830116
We introduce an Owen-type value for games with two-level communication structures, being structures where the players are partitioned into a coalition structure such that there exists restricted communication between as well as within the a priori unions of the coalition structure. Both types of...
Persistent link: https://www.econbiz.de/10010326497
A well known and simple game to model markets is the glove game where worth is produced by building matching pairs. For glove games, different concepts, like the Shapley value, the restricted Shapley value or the Owen value, yield diff erent distributions of worth. Moreover, computational effort...
Persistent link: https://www.econbiz.de/10010327837
We provide an axiomatization-based justification for applying the Owen value to decompose R2 in OLS models if prior knowledge can be used to form groups of regressor variables. The assumptions made by the axioms are not only plausible with respect to the variables but also clarify the meaning of...
Persistent link: https://www.econbiz.de/10010307410
We study the efficient computation of power indices for weighted voting games with precoalitions amongst subsets of players (reflecting, e.g., ideological proximity) using the paradigm of dynamic programming. Starting from the state-of-the-art algorithms for computing the Banzhaf and...
Persistent link: https://www.econbiz.de/10013200163