A Variational Approach to the Maximization of Preferences Without Numerical Representation

Monica Milasi () and Domenico Scopelliti
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Monica Milasi: University of Messina
Domenico Scopelliti: University of Messina

Journal of Optimization Theory and Applications, 2021, vol. 190, issue 3, No 7, 879-893

Abstract: Abstract We introduce a variational approach to study a maximization problem of preferences that cannot be represented by a utility function. In such conditions, we reformulate the problem as a suitable variational problem and we give regularity properties of the solutions map. The theoretical results are applied in studying an equilibrium problem under uncertainty.

Keywords: Variational inequalities; Strict preference relation; Equilibrium problem (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-021-01911-1

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