منابع مشابه
The interval Shapley value: an axiomatization
The Shapley value, one of the most widespread concepts in Operations Research applications of cooperative game theory, was defined and axiomatically characterized in different game-theoretic models. Recently much research work has been done in order to extend OR models and methods, in particular cooperative game theory, for situations with interval data. This paper focuses on the Shapley value ...
متن کاملAn axiomatization of the Shapley value using a fairness property
This paper is a revised version of TI-discussion paper 8-95-249, \ An axiomatization of the Shapley value using component eeciency and fairness". I would like to thank Gerard van der Laan and Eric van Damme for useful remarks on a previous draft of this paper. Financial support from the Netherlands organization for scientiic research (NWO) ESR-grant 510-01-0504 is gratefully acknowledged. Abstr...
متن کاملAlternative Axiomatic Characterizations of the Grey Shapley Value
The Shapley value, one of the most common solution concepts of cooperative game theory is defined and axiomatically characterized in different game-theoretic models. Certainly, the Shapley value can be used in interesting sharing cost/reward problems in the Operations Research area such as connection, routing, scheduling, production and inventory situations. In this paper, we focus on the Shapl...
متن کاملStrong Addition Invariance and axiomatization of the weighted Shapley value
This paper shows a new axiomatization of the Shapley value by using two axioms. First axiom is Dummy Player Property and second axiom is Strong Addition Invariance. Strong Addition Invariance states that the payoff vector of a game does not change even if we add some specific games to the game. By slightly changing the definition of Strong Addition Invariance, we can also axiomatize the weighte...
متن کاملMembership Separability: A New Axiomatization of the Shapley Value∗
The paper shows that Shapley’s axiomatic characterization of his value can be strengthened considerably. Indeed, his additivity axiom can be replaced by a simple accounting property whereby a player’s payoff is the difference of a reward based on the worth of coalitions to which she belongs, and a tax based on the worth of coalition to which she does not belong, without placing any restriction ...
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ژورنال
عنوان ژورنال: IOP Conference Series: Materials Science and Engineering
سال: 2018
ISSN: 1757-8981,1757-899X
DOI: 10.1088/1757-899x/300/1/012082