In this paper, we deal with an optimization problem: finding a common maximum point for a family of objective functions on a set-valued map. We reformulate this problem in terms of a suitable variational problem to establish the existence of a solution. In this variational approach, the notion of quasiconcave family is of central importance. Finally, we apply our study to the Kantian equilibrium.
A Quasi-Optimization Problem for a Family of Functions
Giordano, Mario Diego Emanuele;Milasi, Monica
2026-01-01
Abstract
In this paper, we deal with an optimization problem: finding a common maximum point for a family of objective functions on a set-valued map. We reformulate this problem in terms of a suitable variational problem to establish the existence of a solution. In this variational approach, the notion of quasiconcave family is of central importance. Finally, we apply our study to the Kantian equilibrium.File in questo prodotto:
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