In this paper, we examine the questions of which coalition structure is formed and how payoãis distributed among players in cooperative games with externalities. We introduce a sequential stability concept called a sequentially stable payoãconåguration in a game with a coalition structure by extending the concept of the equilibrium binding agreements by Ray and Vohra (1997). Ray and Vohra captu...

Sequence converges is an important research object in topology and analysis, since it closely related to continuity, compactness other properties. In this article, we use the notion of regularly convergence, which a generalization convergence notion, define sequentially closed sets operator sequential closure; then consider thier charactarizations prove that are coincide regular spaces. Finally...

Abstract In this paper, we consider the moduli space of complete, conformally flat metrics on a sphere with $k$ punctures having constant positive $Q$-curvature and scalar curvature. Previous work has shown that such admit an asymptotic expansion near each puncture, allowing one to define necksize singular point. We prove any set in distances between distinct necksizes all remain bounded away f...