Unique Tarski Fixed Points

• 成果类型: Article
• 署名作者: Marinacci, Massimo; Montrucchio, Luigi
• 署名单位: Bocconi University; Bocconi University; Collegio Carlo Alberto; University of Turin
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.2018.0959
• 发表日期: 2019
• 页码: 1174-1191
• 关键词: partially ordered sets; variational-inequalities; THEOREM; equilibrium; utility

摘要

We establish sufficient conditions that ensure the uniqueness of Tarski-type fixed points of monotone operators. A first set of results relies on order concavity, whereas a second one uses subhomogeneity. A few applications that illustrate our results are presented.