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

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.
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https://hal-amu.archives-ouvertes.fr/hal-03544673
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Submitted on : Wednesday, January 26, 2022 - 6:29:59 PM
Last modification on : Thursday, January 27, 2022 - 3:45:36 AM

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João Xavier da Cruz Neto, J. O. Lopes, Antoine Soubeyran, João Carlos O. Souza. Abstract regularized equilibria: application to Becker’s household behavior theory. Annals of Operations Research, Springer Verlag, In press, ⟨10.1007/s10479-021-04175-0⟩. ⟨hal-03544673⟩

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