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Von Neumann–Morgenstern stable set rationalization of choice functions

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Two scenarios illustrate uses of von Neumann–Morgenstern stable sets in the construction of choice functions. A comparison is made to the construction of choice functions by the selection of maximal… Click to show full abstract

Two scenarios illustrate uses of von Neumann–Morgenstern stable sets in the construction of choice functions. A comparison is made to the construction of choice functions by the selection of maximal elements. A characterization is given of choice functions that are von Neumann–Morgenstern stable set rationalizable by acyclic, asymmetric binary relations. Two examples illustrate the use of the characterization.

Keywords: neumann morgenstern; morgenstern stable; choice functions; stable set; choice; von neumann

Journal Title: Theory and Decision
Year Published: 2020

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