Core of the assignment game via fixed point methods
JOURNAL OF MATHEMATICAL ECONOMICS, vol.47, no.1, pp.72-76, 2011 (SCI-Expanded, SSCI, Scopus)
- Publication Type: Article / Article
- Volume: 47 Issue: 1
- Publication Date: 2011
- Doi Number: 10.1016/j.jmateco.2011.01.003
- Journal Name: JOURNAL OF MATHEMATICAL ECONOMICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus
- Page Numbers: pp.72-76
- Middle East Technical University Affiliated: Yes
Abstract
This paper shows that the core outcomes of the assignment game coincides with the set of fixed points of a certain function. The lattice property of the core, as well as its non-emptiness, are proved using Tarski's fixed point theorem. (C) 2011 Elsevier B.V. All rights reserved.