On abstract economies with an arbitrary set of players and action sets in locally-convex topological vector spaces

Robert M. Anderson, Haosui Duanmu, M. Khan and Metin Uyanık

Journal of Mathematical Economics, 2022, vol. 98, issue C

Abstract: In this paper we show the existence of equilibrium in an abstract economy with an arbitrary set of players, each of whose compact convex action sets lie in different locally convex spaces, and whose preferences obey weaker continuity postulates that have been used in the original treatments of Arrow and Debreu in the early fifties, and of Shafer and Sonnenschein in the mid-seventies. Our theorem synthesizes results around the cardinality of the set of agents, and incorporates in particular recent results of Carmona–Podczeck and He–Yannelis. The proof of the theorem is based on nonstandard analysis and its novelty has independent methodological interest.

Keywords: Abstract economy; Arbitrary set; Equilibrium; Continuity postulate (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0304406821001440
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:98:y:2022:i:c:s0304406821001440

DOI: 10.1016/j.jmateco.2021.102581

Access Statistics for this article

Journal of Mathematical Economics is currently edited by Atsushi (A.) Kajii

More articles in Journal of Mathematical Economics from Elsevier
Bibliographic data for series maintained by Catherine Liu ().