Research and Publications
Papers in Refereed Journals
"Distance Functions in some Class of Infinite Diensional Vector Spaces", with Bator Anne, Journal of Optimization Theory and Applications, To Appear.
"Generalized Means and Radomization of Nash Equilibria", with Audrey Dumas and Jeremie Mauranyapin, International Game Theory Review, 2023, 2350009 (41 pages).
"Energy-Economic Environmental Productivity Growth Nexus: A Micro-economic Approach ", The Handbook of Energy, Sustainability and Economic Growth, with Arnaud Abad and Paola Ravelojaona, 2022, to apear.
"Determinants and Limit Systems in some Idempotent and non-associative Algebraic Structure", Linear Algebra and its Applications, 2022, 651 (15), pp. 162-208.
"Generalised commensurability properties of efficiency measures: Implications for productivity indicators", European Journal of Operational Research, with Audrey Dumas, Kristiaan Kerstens and Agathe Stenger, 2022.
"Ky-Fan Inequality, Nash Equilibria in some Idempotent and Harmonic Convex Structure" with Ilknur Yesilce, 2022, Journal of Mathematical Analysis and Applications, vol 508 (1).
"Exponential Distance Function and Duality Theory" with H. Fukuyama and P. Ravelojaona, European Journal of Operational research, 2021,293(3), pp. 1002-1014.
"Directional Distance Function and Social Welfare: some Axiomatic and Dual Properties" with Audrey Dumas and Ayman Mekki, Mathematical Social Sciences, 2021, 113, pp. 181-190.
"Technical Efficiency in Firms games with Constant returns to Scale and alpha-Returns to Scale", with Marc Dubois and Stéphane Mussard, Annals of Operation Research, 2021, 304(1-2), pp. 35-62.
"One some Relation between a Continuous Time Luenberger Productivity Indicator and the Solow Model", with Laurence Lasselle, Bulletin of Economic Research, 2021.
"Nonconvexity in Production Economics and Support Function: An exploratory Review" with K. Kerstens and I. van de Woestyne, Handbook of Production Economics, 2020. Springer.
“Input Efficiency Measures: A Generalised, Encompassing Formulation“, with Laurent Cavaignac and Kristiaan Kerstens, Operations Research, 68 (6), pp. 1836-1849.
“Influence de la distance technologique sur la loi d'Okun“ (Heterogeneity of the Okun’s law Coefficients across developed countries : empirical evidence on nonlinear influence of the technological gap), with J-P. Boussemart, R. Perman and Christophe Tavera, Revue Internationale des Economistes en Langue Française, 2020, 5(1), pp. 78-100.
"Improvement of Technical Efficiency of Firm Groups", with S. Mussard, European Journal of Operational Research, 2020, 283, pp. 991-1001.
“Efficiency under Uncertainty and Non-convexity: Evaluating the Role of Probabilities” with Jean-Paul Chavas, Economica, 2019, 86(344), pp. 832-853.
“On the axiomatic of pollution-generating technologies: Non-parametric production analysis“, with Arnaud Abad, European Journal of Operational Research, 2019, 277(1), pp. 377-390.
“On some Class of Polytopes in an Idempotent, Symmetrical and Non-Associative Convex Structure”, Journal of Convex Analysis, 2019, 26(3), pp. 823-853
“On Estimating α-returns to Scale”, with J-P. Boussemart, H. Leleu and P. Ravelojaona, Journal of the Operational Research Society, 2019, 70, 1, pp.1.11.
“Surplus Measure and Luengberger Productivity Indicator”, with A. Abad and L. Andriamasy, Journal of Economics, 2018, 125, 3, pp 279–308.
“Testing General and Special Färe-Primont Indices: A Proposal for Public and Private Sector Synthetic Indices of European Regional Expenditures and Tourism”, with K. Kerstens, D. Prior and I. van de Woestyne, European Journal of Operational Research, 2018, 271(2), pp. 756-768.
“Foreword”, with Oana Serea (ed), ESSAIM Proceedings. surv 2017, 57,1.
“Hypercongestion in Production Correspondences: An Empirical Exploration”, with K. Kertens and I. van de Woestyne, Applied Economics, 2018, 50(27), pp. 2938-2956.
“On some Relation betwen Several Generalized Convex DEA Models", with Louisa Andriamasy and Stéphane Mussard, Optimization, 2017, 66,4, pp. 547-570.
“ Separation Properties in some Idempotent and Symmetrical Convex Structure”, Journal of Convex Analysis, 2017, 24, 4.
“Tropical Production Technologies", with Louisa Andriamasy and Bernardin Solonandrasana, Pacific Journal of Optimization, 2017, 13, 4, pp. 683-706.
“Congestion in Production Correspondences", with Kristiaan Kerstens and Ignace Vande Woestyne, Journal of Economics, 2016, 119 (1), pp. 65-90.
“Some Remarks on an Idempotent and Non-Associative Convex Structure”, Journal of Convex Analysis, 2015, 22, 1, pp. 259-289.
“Efficient firm groups: Allocative efficiency in cooperative games”, European Journal of Operational research, with Stephane Mussard, 2014, 239 (3), pp. 286-296
“Shortage Function and Portfolio Selection: on some Special Cases and Extensions”, with Laurence Oms and Eric Paget-Blanc, Finance Research Letters, 2014, 11, pp. 295-302.
“Nonparametric cost and revenue functions under constant economies of scale: An enumeration approach for the single output or input case”, with K. Kerstens and and Ignace Van de Woestyne, International Transaction of Operation Research, 2014, 21, Issue 4, pp. 619-625.
“Efficient Nash Equilibria on Semilattice”, Journal of Global Optimization, with C. Horvath and Q. Liang, 2013, 56, pp. 1603-1615.
“On the Use of the Renormalization Procedure to Estimate the Bifurcation Parameters in Nonlinear Dynamic Models”, with Laurence Lasselle, Computational Economics, 2013, 41 (4), pp. 557-574.
“Introduction to the Special Issue in memory of Bernard Philippe: Advances in poverty, efficiency and inequality measurement” with Stéphane Mussard, Economic Modelling, 2013, 35, pp. 870-873.
“On the standard achievement and well-being indexes and their relation to the Hicks-Moorsteen productivity index” with Audrey Dumas andAgathe Stenger, Economic Modelling, 2013, 35 pp. 900-909.
“Portfolio selection with skewness: A comparison of methods and a generalized one fund result” with Kristiaan Kerstens and Ignace Van deWoestyne, European Journal of Operational Research, 2013, 230, pp. 412-421.
“On Economic Efficiency under Non-Convexity”, Economic Theory, with J-P. Chavas, 2012, 50, pp. 671-701.
“On Measuring the Efficiency of Monetary Policy”, Economic Letters, with E. Gabillon, L. Lasselle and H. Ratsimbanierana, 2012, 117 (1), pp. 182-185.
“Exact Relations between Four Definitions of Productivity Indices and Indicators“, with K. Kerstens and N. Peypoch, Bulletin of Economic Research, 2012, 64 (2), pp. 265-274.
“On some classes of normed and risk averse preferences”, Journal of Economics, with Liang, Q.B., Ratsimbanierana, H., 2012, 106, pp. 267-282.
“On the separation of convex sets in some idempotent semimodules”, Linear Algebra and its Applications, with C. Horvath, 2011, 435 (7), pp. 1542-1548.
“On some semilattice structures for production technologies”, European Journal of Operational research, with Q-B. Liang, 2011, 215 (3), pp. 740-749.
“On Some Class of Distance Functions for Measuring Portfolio Efficiency”, Journal of Mathematical Finance, with C. Barros and Ratsimbanierana, H., 11, 1, pp. 15-27.
“Productivity growth and biased technological change in hydroelectric dams”, Energy Economics, with Peypoch, N., Ratsimbanierana, H., 2011, 33 (5), pp. 853-858.
“Directional Measurement of Technical Efficiency of Production: an axiomatic approach”, Economic Modelling, with L. Cavaignac and K. Kerstens, 2011, 28 (3), pp. 775-781.
“More Evidence on Technological Catching-up in the Manufacturing Sector”, with J-P. Boussemart and C. Tavéra, Applied Economics, 2011, 43 (18), pp. 2321-2330.
“The Hicks-Moorsteen Productivity Index Satisfies the Determinateness Axiom”, with K. Kerstens, Manchester School, 2011, 79 (4), pp. 765-775 .
"Portfolio Selection in Multidimensional General and Partial Moment Space”, with K. Kerstens, Journal of Economic Dynamics and Control, 2010, 34 (4), pp. 636-656.
“Portfolio Performance Gauging in Discrete Time Using a Luenberger Productivity Indicator”, Journal of Banking and Finance, with O. Brandouy, K. Kerstens and I. van Woestyne, 2010, 34 (8), pp. 1899-1910.
“Tangency capacity notions based upon the profit and cost functions: A non-parametric approach and a general comparison” with Kerstens, K., Prior, D., Van de Woestyne, I. Economic Modelling, 2010, 27 (5), pp. 1156-1166.
“Linear Programming Solutions and Distance Functions Under alpha-Returns to Scale”, with Jean-Philippe Boussemart and Hervé Leleu, Journal of the Operational research Society, 2010, 61 (8), pp. 1297-1301.“
Productivity Growth and Biased Technological Change in Tourism Industry”, with L. Botti, N. Peypoch and B. Solonandrasana, Tourism Economics, 2010, 16 (2), pp. 273-285.
“An Extension of the Multi-output Contingent Production Model” with L. Cavaignac, Economic Theory, 2009, vol. 39, pp. 43-64.
“A B-convex Production Model for Evaluating Performance of Firms”, with Charles Horvath, Journal of Mathematical Analysis and Applications, 2009, vol. 355, pp. 131-144.
“Infeasibility and Directional Distance Functions with Application to the Determinacy of the Luenberger Productivity Indicator”, with K. Kerstens, Journal of Optimization Theory and Applications 2009, vol. 141, pp. 55-73.
“α-return to scale in multi-ouput technologies” with J-P. Bousemart, N. Peypoch and C. Tavéra, European Journal of Operational Research, 2009, pp. 332-339.
‘Linear Programming Solutions and Distance Functions Under a Constant Returns to Scale Technology”, with J-P. Boussemart and H. Leleu, Journal of the Operational research Society, 2009 vol. 60, 72-78.
“A DEA Estimation of a Lower Bound for Firms’ Allocative Efficiency Without Information on Price Data”, International Journal of Production Economics, with H. Leleu, 2009, vol. 121, pp. 203-211.
“The Luenberger Productivity Indicator: An Economic Specification Leading to Infeasibilities”, with K. Kerstens, Economic Modelling, 2009, vol. 26, pp. 597-600.
“ Plural Forms Versus Franchise and Company-Owned Systems : A DEA Approach of Hotel Chain Performance”, avec L. Botti et G. Cliquet, Omega , 2009, 37, pp. 566-578.
“Multi-Horizon Markowitz Portfolio Performance Appraisals: A General Approach” with Kristiaan Kerstens, Omega, 2009, vol. 37. pp. 50-62.
“Nash points, Ky Fan Inequality and Equilibria of Abstract Economies in Max-Plus and B-convexity”, with C. Horvath, Journal of Mathematical Analysis and Applications, 2008, vol. 341, pp. 188-199.
“Halfspaces and Hahn-Banach Like Properties in B-convexity and Max-Plus convexity” with C. Horvath, Pacific Journal of Optimization, 2008, vol. 4 (2), pp. 293-317.
“ Technology Adoption in French Agriculture and the Role of Financial Constraints” with S. Blancard, J-Ph. Boussemart, and K. Kerstens, Bulletin of University of Agricultural Sciences and Veterinary Médicine Cluj-Napoca, 2008, vol. 65 (2), pp. 17-29.
“Mean-Variance-Skewness Portfolio Performance Gauging: A General Shortage Function and Dual Approach” with K. Kerstens and O. Jokung, Management Science, 2007, vol. 53, pp. 135-149.
“Benefit Function and Duality in Finite Normal Form Game”, International Game Theory Review , 2007, vol. 9(3), pp. 495- 513.
“Biased Technical Change and Parallel Neutrality”, avec N. Peypoch, Journal of Economics, 2007, vol. 92(3), pp. 281-292.
“Testing for Inverse Homotheticity, a Non Parametric Approach: A Comment ”, with Laurent Cavaignac, Japanese Economic Review, 2007, vol. 58 (4), pp. 524-531.
“Short- and Long-Run Credit Constraints in French Agriculture: A Directional Distance Function Framework Using Expenditure-Constrained Profit Functions” with S. Blancard, J-P. Boussemart, K. Kerstens, American Journal of Agricultural Economics, 2006, vol. 88(2), pp. 351-364.
“Temporal Technical and Profit Efficiency Measurement: Definitions, Duality and Aggregation Results”, with C. Commes and K. Kerstens, International Journal of Production Economics, 2006, vol. 103 (1), pp. 48-63.
“A Re-examination of the technological catching-up hypothesis across OECD industries” with Jean-Philippe Boussemart, Isabelle Cadoret and Christophe Tavéra, Economic Modelling , 2006, vol. 23 pp. 967-977.
“Parallel Neutrality ” with Robert Chambers, Rolf Färe and Nicolas Peypoch, Journal of Economics , 2006, vol. 87(3) pp. 285-305.
“Some Remarks on a Successive Projection Sequence”, with B. Solonandrasana, Journal of Industrial Management and Optimization , 2006, vol. 2 (4), pp. 451-466.
“Erratum: Non-convex Technologies and Cost Functions: Definitions, Duality and Nonparametric Tests of Convexity” with K. Kerstens and P. Vanden Eeckaut, Journal of Economics, 81(2), pp. 155-192.
“Input, Output and Graph Technical Efficiency Measures on Non-Convex FDH Models with Various Scaling Laws: An Integrated Approach Based Upon Implicit Enumeration Algorithms” with K. Kerstens, T.O.P, 2006, vol. 14 (1), pp. 135-166.
“Separation in B-convexity”, with C. D. Horvath and A. Rubinov, Pacific Journal of Optimization, 2005, vol. 1, pp. 1-27.
“A Luenberger-Hicks-Moorsteen Productivity Indicator: Its Relation to the Hicks-Moorsteen Productivity Index”, with K. Kerstens, Economic Theory, vol. 23, 2004, pp. 925-939.
“Markowitz Portfolio Selection, Performance Gauging and Duality : Generalizing Luenberger's Shortage Function «, avec K. Kerstens et J.-B. Lesourd, Journal of Optimization Theory and Applications, 2004, vol 120(1), pp. 1-27
“B-convexity”, with C. D. Horvath, Optimization, 2004, vol. 53, pp. 103-127.
“Generalized Benefit Function and Measurement of Utility”, with P. Garderes, Mathematical Methods of Operation Research, 2004, vol. 60 (1), pp. 101-123.
“Nonparametric Technologies and Cost Functions: How to Dispense with Convexity?”, with K. Kerstens and P. Vanden Eeckaut, Journal of Economics, 2004, vol. 81 (3), pp. 155-192.
“Luenberger and Malmquist Productivity Indexes: Theoritical and Empirical Comparisons”, with J-P. Boussemart, K. Kerstens, J-C. Poutineau, Bulletin of Economic Research, 2003, vol.55, pp. 391-405.
“Industrial Efficiency and Aggregation of Directional Distance Function”, with B. Dervaux and H. Leleu, Journal of Economics, vol. 79, 2003, pp. 237-261.
“Dual Representation of Non Parametric Technology and Measuring Technical Efficiency”, with H. Leleu, Journal of Productivity Analysis, vol. 14, 2003, pp. 267-274.
“An Extended Färe-Lovell Technical Efficiency Measure”, International Journal of Production Economics, 2000, vol. 65, pp. 191-199.
“Returns to Scale Information on Non Parametric Deteministic Technologies: A Simplification of Goodness of Fit Method”, with K. Kerstens, H. Leleu, and P. Vanden Eeckaut, Journal of Productivity Analysis, vol. 14, 2000, pp. 267-274
“Metric Distance Function and Profit: some duality Result”, with J.-B. Lesourd, Journal of Optimization Theory and Applications, 1999, vol. 101, pp. 15-33.
“Technical Efficiency and Distance to a Reverse Convex set”, avec B. Lemaire, European Journal of Operational Research, 1999, vol. 114, pp. 178-187.
“Hölder Distance function and Measurement of Technical Efficiency”, Journal of Productivity Analysis, 1998, vol. 11, pp. 111-131.
“Minimum Distance to the Complement of a Convex Set: Duality Result”, Journal of Optimisation Theory and Application, 1997, vol. 93, pp. 101-118.
“A Graph Type Extension of Farrell Technical Efficiency Measure”, Journal of Productivity Analysis, 1997, vol. 8, pp. 95-110.
Books
“Microéconomie de la Production”, with N. Peypoch, Ed. De Boeck, 2012.
Chapters in Books
1. “Productivité et Convergence Européennes”, avec J.-P. Boussemart et J.-C Poutineau, in La convergence des économies européennes : unréexamen, Economica, directed by C. Tavera.
2. “The efficiency of investment fund management: A stochastic frontier model”, with J.-B. Lesourd, in Advances in Quantitative Asset Management, p. 41-58 Klüwer Academic Publishers, directed by C. Dunis.
3. “L’investissement dans le savoir et les bonnes performances productives relatives de l’Europe du nord ” avec J.-P. Boussemart et J.-CPoutineau, in L’Economie fondée sur la connaissance, Economica, directed by M. Baslé and M. Renault.