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<p>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.</p>

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A Quasi-Optimization Problem for a Family of Functions

  • 期刊论文

  • 发表日期：

    2025年11月4日

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  • Mario Diego Emanuele Giordano,
  • Monica Milasi

摘要

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.