In this paper, we provide three new characterizations of largeness of the core. The first characterization is based on … bases that provide core elements of the game and the bases that provide core elements of the games that are obtained from … base of the grand coalition does not provide a core element of the game, it should not provide a core element of a game …

Sengupta and Sengupta (1996) study the accessibility of the core of a TU game and show that the core, if non-empty, can … be reached from any non-core allocation via a finite sequence of successive blocks. This paper complements the result by … showing that when the core is empty, a number of non-empty core-extensions, including the least core and the weak least core …

the same core. We state conditions on matrix entries that ensure that the related assignment games have the same core. We … prove that the set of matrices leading to the same core form a join-semilattice with a finite number of minimal elements and …

point in the core and that is more responsive to changes than the well-studied folk solution. The paper shows a sufficient …

A longstanding criticism of the core is that it is too sensitive to small changes in player numbers, as in a well known … and decreasing over time even with institutions that facilitate collusion and, consistent with core theory, a …

core. In this paper a new core concept, the interim sequential core (ISC), is proposed as a solution concept to … with the weak sequential core (WSC) of Habis and Herings (2011) but avoids the myopia implicit in the strong sequential … core (SSC). The three core notions are shown to be related by the subset inclusion ordering. The solution concept is …