Abstract regularized equilibria: application to Becker’s household behavior theory

J. X. Cruz Neto (), J. O. Lopes (), Antoine Soubeyran and J. C. O. Souza ()
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J. X. Cruz Neto: Universidade Federal do Piauí
J. O. Lopes: Universidade Federal do Piauí
J. C. O. Souza: Universidade Federal do Piauí

Annals of Operations Research, 2022, vol. 316, issue 2, No 25, 1279-1300

Abstract: Abstract In this paper, we consider an abstract regularized method with a skew-symmetric mapping as regularization for solving equilibrium problems. The regularized equilibrium problem can be viewed as a generalized mixed equilibrium problem and some existence and uniqueness results are analyzed in order to study the convergence properties of the algorithm. The proposed method retrieves some existing one in the literature on equilibrium problems. We provide some numerical tests to illustrate the performance of the method. We also propose an original application to Becker’s household behavior theory using the variational rationality approach of human dynamics.

Keywords: Equilibrium problem; Variational rationality; Desires; Traps; Household behavior; Resource allocation problems (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10479-021-04175-0

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