Antoine Soubeyran Homepage

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

AMSE

MEGA (la Maison de l’'Economie et de la Gestion d’Aix-en-Provence). 424, chemin du Viaduc, 13080 Aix-en-Provence.

FIELDS OF SPECIALIZATION

Behavioral sciences - Optimization - International Economics - Industrial Organization - Environmental Economics.


I- Dual presentation of the variational rationality (VR) approach of human dynamics

They are the two faces of the same coin.

1.1 Psychological side: mimeos

At this stage of the presentation of the VR approach of stop, continue and start human dynamics, our works are given as mimeos, given the time it takes to synthesize the whole story. They are waiting for immediate submission in psychological science journals.

Working Papers:

The whole picture

-Soubeyran, A. (2022). Variational rationality. Self regulation success as a succession of worthwhile moves that make sufficient progress. AMSE, Aix-Marseille University. Preprint.

- Soubeyran, A. (2021.a). Variational rationality: towards a grand theory of motivation driven by worthwhile moves. AMSE, Aix-Marseille University. Preprint.

- Soubeyran, A. (2021.b). Variational rationality: the concepts of motivation and motivational force. AMSE, Aix-Marseille University. Preprint.

- Soubeyran, A. (2021.c). Variational rationality. The resolution of goal confl‡icts via stop and go approach-avoidance dynamics. AMSE, Aix-Marseille University. Preprint.

- Soubeyran, A. (2021.d). Variational rationality. A general theory of moving goals and intentions as satisfi…cing worthwhile moves. AMSE, Aix-Marseille University. Preprint.

- Soubeyran, A. (2021.e). Variational rationality. Self regulation processes as satisfi…cing variational principles and fl‡exible/inexact algorithms. In preparation.

More specific aspects

- Soubeyran, A. (2019). Variational rationality. An adaptive theory of the unsatis…ed man. Preprint. AMSE. Aix-Marseille University.

- Soubeyran, A. (2016.a). Variational rationality. A theory of worthwhile stay and change approach-avoidance transitions ending in traps. Preprint, AMSE, Aix Marseille University.

- Soubeyran, A. (2016.b). A variational rationality theory of habit formation and breaking. Preprint. AMSE. Aix-Marseille University.

- Soubeyran, A. (2015). A survey of worthwhile stay and change adaptive dynamics. A unifying variational rationality approach. Preprint, GREQAM AMSE, Aix Marseille University.

- Soubeyran, A. (2010). Variational rationality and the unsatis…ed man: routines and the course pursuit between aspirations, capabilities and beliefs. Preprint. GREQAM, Aix Marseille University. Revised version, 2012.

- Soubeyran, A. (2009). Variational rationality, a theory of individual stability and change: worthwhile and ambidextry behaviors. Pre-print. GREQAM, Aix Marseille University.

- Soubeyran, A. & Soubeyran, B. (2009). A value creation-value appropriation theory of organizational change: A variational approach. Pre-print. GREQAM, Aix Marseille University.


1.2 Mathematical side: publications

[47] "General Versions of the Ekeland Variational Principle: Ekeland Points and Stop and Go Dynamics", 2022. Journal of Optimization Theory and Applications (with L P Hai & P Q Khanh). Rank A.

[46] "Robust Ekeland variational principles. Application to the formation and stability of partnerships", 2021. Optimization: 1-25. (with Fakhara, M., Khodakhah, M.R. & Zafarania, J). Rank B.

[45] "Vector optimization with domination structures: variational principles and domination traps", forthcoming. Set Valued Analysis (with Bao, T.Q., Mordukhovich, B.S, & Tammer, C). Rank A.

[44] "Variational rationality, variational principles and the existence of traps in a changing environment", forthcoming. Journal of Global Optimization (with Fakhar, M., Khodakhah, M., Mazyaki, A., & Zafarani, J). Rank A.

[43] "Abstract regularized equilibria. Application to Becker’'s household behavior theory", forthcoming. Annals of Operations Research (with Cruz Neto., J.X, Lopes., J.O. & Souza, J.C.O). Rank A.

[42] "A new regularization of equilibrium problems on Hadamard manifolds. Applications to theories of desires", forthcoming. Annals of Operations Research (with Soares Jr. P.A, Cruz Neto J. X., & Bento, G. C). Rank A.

[41] "General descent methods using w distance. Application to emergence of habits following worthwhile moves", 2020. Journal of Nonlinear and Variational Analysis 4 (2): 285-300. (with Souza, J.C). Rank C.

[40] "Equilibrium ve rsions 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)

"Contracting under Unverifiable Monetary Costs", 2020, Journal of Economics & Management Strategy 29(4), 892-909 (with Querou, N., & Soubeyran, R)

"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)

"Selective Penalization of Polluters : An Inf Convolution Approach", 2005, Economic Theory 25, 421-454. (with Ngo Van Long)

"Fragmentation and Services" , 2005, North American Journal of Economic and Finance 16(1), 137-152. (with Ngo Van Long and Raymond Riezman)

"A Ricardian Approach of the Tragedy of the Commons", 2002, Journal of Economic Behaviour and Organization, vol.1437, 1-17. (with Pierre Lasserre)

"District Formation and Local Social Capital: A Tacit Co-opetition Approach", 2002, Journal of Urban Economics 52, 65-92. (with Shlomo Weber)

"Protection-Lobbying and Market Structure", 2001, Journal of International Economics 54 (2), 383-410. (with Arie Hillman and Ngo Van Long)

"Cost Manipulation Games in Oligopoly, with Costsof Manipulating", 2001, International Economic Review 42 (2), 505-533, May. (with Ngo Van Long)

"Existence and Uniqueness of Cournot Equilibrium :A Contraction Mapping Approach", 2000, Economic Letters 67, 345-348. (with Ngo Van Long)

"Learning by Doing and the Development of Industrial Districts", 1998, Journal of Urban Economics 45, 156-176. (with Jacques-François Thisse)

"Cost Heterogeneity, Industry Concentration and Strategic Trade Policies", 1997, Journal of International Economics 43, 207-220. (with Ngo Van Long)

Last update: 11/2021