In the context of capital accumulation games this paper proposes two concepts that describe the interactions between agents and give a counterpart, in a symmetric infinite horizon framework, of the well known Fudenberg and Tirole's Taxinomy concerning investment strategies in two-stage games.

This paper presents two new axiomatizations of the Owen value for games with coalition structures. Other axiomatizations can be found in the literature: Owen (1977), Hart and Kurz (1983), and Winter (1992). The driving force of my axiomatization is a consistency axiom based on an associated...

This paper introduces four alternative representations of a set function: the Mobius transformation, the co-Mobius transformation, and the interactions between elements of any subset of a given set as extensions of Shapley and Banzhaf values. The links between the five equivalent representations...

In this paper it is shown that the core and the bargaining sets of Davis-Maschler and Zhou coincide in a class of shortest path games.

We extend the consistency principle for strategic games (Peleg and Tijs (1996)) to apply to solutions which assign to each game a collection of product sets of strategies. Such solutions turn out to satisfy desirable properties that solutions assigning to each game a collection of strategy...

A set of necessary and sufficient conditions for convexity of a transferable utility game in terms of its decomposition into unanimity games is shown to be minimal: none of the conditions is redundant. The result is used to provide an axiomatization of the Shapley value on the set of convex games.