The interval Shapley value of an M/M/1 service system

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 ...

Time-Consistency of Interval Shapley Value in Dynamic Games

Interval Shapley value (ISV) was initially considered for static one-shot games in [1, 2]. In [3, 4] it was shown that the Shapley value in dynamic games is timeinconsistent. To satisfy time-consistency condition for the Shapley value it is necessary to introduce a new control variable, so-called imputation distribution procedure (IDP). The case with interval Shapley value for dynamic games was...

Alternative 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...

The Shapley group value

Following the original interpretation of the Shapley value (Shapley, 1953a) as a priori evaluation of the prospects of a player in a multi-person interaction situation, we propose a group value, which we call the Shapley group value, as a priori evaluation of the prospects of a group of players in a coalitional game when acting as a unit. We study its properties and we give an axiomatic charact...

64 The Shapley Value