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Antoine SOUBEYRAN

Professor, Aix-Marseille University (Aix-Marseille School of Economics)

GREQAM-AMSE

Château Lafarge, route des Milles
13290 Les Milles, France.

FIELDS OF SPECIALIZATION

Optimization - Behaviors - International Economics - Industrial Organization - Environmental Economics

Mimeos

A. Soubeyran (2016) "Variational rationality. A theory of worthwhile stay and change approach-avoidance transitions ending in traps", mimeo.

A. Soubeyran (2009) "Variational rationality, a theory of individual stability and change: worthwhile and ambidextry behaviors", mimeo - revised 2012.

A. Soubeyran (2010) "Variational rationality and the unsatisfied man: routines and the course pursuit between aspirations, capabilities and beliefs", mimeo. - revised 2012

A. Soubeyran and B. Soubeyran (2009) "A Value Creation-Value Appropriation Theory of Organizational Change: A Variational Approach", mimeo.

PUBLICATIONS

MATHEMATICS AND BEHAVIOR

[40] "Equilibrium versions of set-valued variational principles and their applications to organizational behavior", 2020, Optimization (with Qiu,J.H., He, F.). Rank.B

[39] "A proximal point method for difference of convex functions in multi-objective optimization with application to group dynamic problems", 2020, Computational Optimization and Applications 75(1): 263-290. (with de Carvalho Bento, G., Bitar, S.D.B., da Cruz Neto, J.X., de Oliveira Souza, J.C.).

[38] "Variational principles in set optimization with domination structures and application to changing jobs", 2019, J. Appl. Numer. Optim. 1(3): 217-241. ( with Bao, T.Q.)

[37] "Variational analysis and variational rationality in behavioral sciences: stationary traps", 2019, in Tammer.C., Khan.A., Köbis.E. (Eds.), Variational Analysis and Set Optimization: Developments and Applications in Decision Making (chap 1, pp 1-24). Taylor & Francis Group, LLC. (with Mordukhovich, B).

[36] "How variational rational agents would play Nash: a generalized proximal alternating linearized method", 2019, in Tammer.C., Khan.A., Köbis.E. (Eds.), Variational Analysis and Set Optimization: Developments and Applications in Decision Making (chap 3, pp 44-71). Taylor & Francis Group, LLC. (with Souza, J.C., & Cruz, J.X.).

[35] "A generalized proximal linearized algorithm for DC functions with application to the optimal size of the firm problem", 2018, Annals of Operation Research 1-27. (with Sousa,J.C., Cruz Neto, X., Oliviera). Rank B.

[34] "Inexact multi-objective local search proximal algorithms: Application to group dynamic and distributive justice problems", 2018, Journal of Optimization Theory and Applications 177 (1), 181-200. (with Bento, G. C., Ferreira, O. P., Sousa J, V) Rank A.

[33] "The proximal point method for locally Lipschitz functions in multiobjective optimization", 2018, SIAM Journal on Optimization 28(2), 1104-1120.(with Bento, G.C., Lopez.G., Cruz Neto, J.X., and Souza, J.C.O.) Rank A*.

[32] "Variational principles and Completeness in pseudo quasi metric spaces" 2018, Annals of Operations Research 269: 53-79 (with Bao, T.Q. and Cobzas, S.) Rank B.

[31] "Equilibrium versions of variational principles in quasi-metric spaces and the robust trap problem", 2017, Optimization 67(1), 25-53. (with Qiu and J.H., He) Rank B.

[30] "Variational principles with generalized distances and the modelization of organizational change", 2016, Optimization 65(12), 2049-2066. (with Bao, T. Q. and Khanh, P. Q) Rank B.

[29] "Variational analysis in cone pseudo-quasimetric spaces and applications to group dynamics", 2016, Journal of Optimization Theory and Applications, 170(2), 458-475. (with T. Bao) Rank A.

[28] "Dual descent methods as tension reduction systems", 2016, Journal of Optimization Theory and Applications 171(1), 209-227. (with Bento, G.C., Cruz Neto, J.X., and De Sousa, V.) Rank A.

[27] "Generalized proximal distances for bilevel equilibrium problems", 2016, SIAM Journal on Optimization 26(1), 810-830. (with Bento, G.C., Cruz Neto, J.X., Lopes, J., Soares, Jr.P.) Rank A*.

[26] "Global convergence of a proximal linearized algorithm for difference of convex functions", 2015, Optimization Letters 1-11. (with Souza, J.C. and Oliveira, P.R.) Rank B.

[25] "A Generalized Inexact Proximal Point Method for Non Smooth Functions that Satisfies Kurdyka Lojasiewicz Inequality", 2015, Set Valued and Variational Analysis 23(3), 501-517 (with G.Bento) Rank A.

[24] "Minimal points, variational principles, and variable preferences in set optimization", 2015, Journal of Nonlinear Convex Analysis 16, 1511-1537. (with T. Bao and B.Mordukhovich) Rank: A

[23] "Variational principles, variational rationality and the Sen capability approach of well being", forth., Set Valued and Variational Analysis (with Bao.T, Mordukhovich.B) Rank: A.

[22] "Convergence in a sequential two stages decision making process", 2016, Bulletin of the Iranian Mathematical Society 42. 7, 25-29. (with J.E Martinez-Legaz). Rank C.

[21] "Generalized Inexact Proximal Algorithms: Habit's Formation with Resistance to Change, following Worthwhile Changes", 2015, Journal of Optimization Theory and Applications 172(1), 1-16. (with G.Bento) Rank A.

[20] "Variational Analysis in Psychological Modelling", 2015, Journal of Optimization Theory and Applications 164, 290-315. (with T. Bao and B.Mordukhovich) Rank A

[19] "A Proximal Point-Type Method for Multicriteria Optimization", 2014, Set-Valued and Variational Analysis 22, 557-573. (with G. Bento and J. Cruz Neto) Rank A

[18] "The self-regulation problem as an inexact steepest descent method for multicriteria optimization", 2014, European Journal of Operational Research 235, 494-502. (with G. Bento, J. Cruz Neto, and P. Oliveira) Rank A*

[17] "Proximal Point Method on Finslerian Manifolds and the Effort.Accuracy Trade-off", 2014, Journal of Optimization Theory and Applications 162 (3), 873-891.(with Neto.J, Oliveira.P, Soares Jr.P). Rank A

[16] "A Trust-Region Method for Unconstrained Multiobjective Problems with Applications in Satisficing Processes", 2014, Journal of Optimization Theory and Applications 160(3), 865-889 (with P. Oliveira and K. Villacorta) Rank A

[15] "Learning how to play Nash, potential games and alternating minimization method for structured nonconvex problems on Riemannian manifolds", 2013, Journal of Convex Analysis 20(2), 395-438. (with J.X. da Cruz Neto, P. R. Oliveira, and P.A. Soares) Rank A

[14] "Variable preference relations: Existence of maximal elements", 2013, Journal of Mathematical Economics 49(4), 251-262 (with Luc.D) Rank A

[13] "Gradient Differences and Bilateral Barters", 2012, Optimization 1-20. (with S. D. Flam and O. Godal) Rank B

[12] "Maximal Elements under Reference-Dependent Preferences with Applications to Behavioral Traps and Games", 2012, Journal of Optimization Theory and Applications 155: 883-901. (with F. Flores-Bazan and D. T. Luc) Rank A

[11] "A proximal algorithm with quasi distance. Application to habits formation", 2012, Optimization 61(12), 1383-1403(21) (with Moreno. F, Oliveira.P) Rank B

[10] "Local Search Proximal Algorithms as Decision Dynamics with Costs to Move", 2011, Set-Valued and Variational Analysis 19 (1): 157-177. PDF (with H. Attouch) Rank A

[9] "Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz Inequality." 2010, Mathematics of Operations Research 35 (2): 438-457. PDF (with H. Attouch, J. Bolte, and P. Redont) Rank A*

[8] "Existence of Solutions in Variational Relations Problems without Convexity" 2010, Journal of Mathematical Analysis and Applications 364 (2): 544-555. PDF (with D.T. Luc and E. Sarabi) Rank A

[7] "A proximal Point Algorithm with Separable Bregman Distances for Quasiconvex Optimization over the Nonnegative Orthant", 2010, European Journal of Operational Research 201(2): 365-376. PDF (with S.S. Souza, P.R. Oliveira, and J.X. Cruz-Neto) Rank A

[6] "Alternating proximal algorithms for weakly coupled convex minimization problems. Applications to dynamical games and PDE's", 2008, Journal of Convex Analysis 15 (3), 485--506. PDF (with H. Attouch, J. Bolte and P. Redont) Rank A

[5] "A new class of alternating proximal minimization algorithms with costs-to-move", 2007, SIAM Journal on Optimization 18 (3), 1061-1081 PDF (with H. Attouch and P. Redont) Rank A*

[4] "A tabu search scheme for abstract problems, with applications to the computation of fixed points", 2007, Journal of Mathematical Analysis and Applications 73(1), 1-8 (with J.E. Martinez-Legaz) Rank A

[3] "Inertia and Reactivity in Decision Making as Cognitive Variational Inequalities", 2006, Journal of Convex Analysis 13 (2), 207-224. PDF (with H. Attouch) Rank A

[2] "A cognitive approach of the Ekeland theorem", Section 3.4. H. Attouch H., Soubeyran A. (2006) In Variational Analysis in Sobolev and BV Spaces: Applications to PDE and Optimization, editors H. Attouch - G. But- tazzo - G. Michaille, MPS-SIAM series on Optimization, MP06.

[1] "Pricing Behaviors on Networks :Some General Results for Two Ways Networks", 2001, Journal of Global Optimisation, 20, 347-373 (with H. Stahn) Rank A

ECONOMICS: SELECTION OF PUBLICATIONS
Complete list: here

"Knowledge Accumulation within an Organization", 2014, International Economic Review 55(4), 1089-1128 (with Ngo Van Long and Raphael Soubeyran)

"Variable Preference Relations: Existence of Maximal Elements", 2013, Journal of Mathematical Economics 49 (4), 251-262. (with D. T. Luc)

"Environmental Taxation and Vertical Cournot Oligopolies: How Eco-industries Matter", 2008, Environmental and Resource Economics 40 (3), 369-382. (with J. Canton and H. Stahn)

"A Simple Model of Brain Circulation", 2006, Journal of International Economics 69 (2), 296-309. (with Nicolas Schmitt)

"Early Initiation of Highly Active Antiretroviral Therapies for Aids", 2006, Journal of Health Economics 25 (3), 579-598. (with Pierre Lasserre and Jean-Paul Moatti)