Inexact Multi-Objective Local Search Proximal Algorithms: Application to Group Dynamic and Distributive Justice Problems

Glaydston de Carvalho Bento (), Orizon Pereira Ferreira (), Antoine Soubeyran and Valdinês Leite de Sousa Júnior ()
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Glaydston de Carvalho Bento: Universidade Federal de Goiás
Orizon Pereira Ferreira: Universidade Federal de Goiás
Valdinês Leite de Sousa Júnior: Universidade Federal de Goiás

Journal of Optimization Theory and Applications, 2018, vol. 177, issue 1, No 9, 200 pages

Abstract: Abstract We introduce and examine an inexact multi-objective proximal method with a proximal distance as the perturbation term. Our algorithm utilizes a local search descent process that eventually reaches a weak Pareto optimum of a multi-objective function, whose components are the maxima of continuously differentiable functions. Our algorithm gives a new formulation and resolution of the following important distributive justice problem in the context of group dynamics: In each period, if a group creates a cake, the problem is, for each member, to get a high enough share of this cake; if this is not possible, then it is better to quit, breaking the stability of the group.

Keywords: Multi-objective; Inexact proximal; Group dynamic; Distributive justice; Behavioral sciences; Variational rationality; 90C29; 90C30; 49M30 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-018-1258-9

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