Upper Semicontinuous Representability of Maximal Elements for Nontransitive Preferences

Gianni Bosi and Magalì Zuanon ()
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Magalì Zuanon: University of Brescia

Journal of Optimization Theory and Applications, 2019, vol. 181, issue 3, No 4, 758-765

Abstract: Abstract We characterize the possibility of determining all the maximal elements for a preorder on a topological space by maximizing all the functions in a suitable family of upper semicontinuous order-preserving functions. We discuss the possibility of extending this result to the case of a quasi-preorder (i.e., a reflexive and Suzumura consistent binary relation) on a topological space.

Keywords: Order-preserving function; Weak utility; Maximal element; Suzumura consistency; Quasi-preorder; Upper semicontinuous function; 54F05; 91B16 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-019-01495-x

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