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

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

We provide an axiomatic characterization of the core of games in effectiveness form. We point out that the core … social choice and game theory, such as the Condorcet winner, the Nash equilibrium, pairwise stability, and stable matchings …, among others. Our characterization of the core invokes the axioms of restricted non-emptiness, coalitional unanimity, and …

This work aims to provide different perspectives on the relationships between cooperative game theory and the research …

in the coalition. Unlike in the MCST model we show that the core of the induced cost game in the MCCN model can be empty … (without introducing Steiner nodes). We therefore consider sufficient conditions for non-empty core. Theorem 1 shows that when … the efficient network and the demand graph consist of the same components, the induced cost game has non-empty core …

sets: a set of matchings is a vNM farsightedly stable set if and only if it is a singleton subset of the core. Thus …, contrary to the vNM (myopically) stable sets [Ehlers, J. of Econ. Theory 134 (2007), 537-547], vNM farsightedly stable sets … cannot include matchings that are not in the core. Moreover, we show that our main result is robust to many-to-one matching …

The concept of 'the core' originates in cooperative game theory and its introduction to economics in the 1960s as a …. However, use of the core eventually waned and the concept faded into the backdrop of economic theory. This paper makes use of … basis for proofs of existence of general equilibrium is one of the earliest attempts to use game theory to address big …