2013

Articles

• Carlier, Guillaume ; Brasco, Lorenzo . Congested traffic equilibria and degenerate anisotropic PDEs. Dynamic Games and Applications. 2013. Springer. DOI http://dx.doi.org/10.1007/s13235-013-0081-z.
• Dana, Rose-Anne ; Carlier, Guillaume . Pareto optima and equilibria when preferences are incompletely known. Journal of Economic Theory. Volume 148. n° 4. 2013. pages 1606-1623. Elsevier. DOI http://dx.doi.org/10.1016/j.jet.2013.04.014.

2012

Articles

• Nazaret, Bruno ; Carlier, Guillaume ; Cardaliaguet, Pierre . Geodesics for a class of distances in the space of probability measures. Calculus of Variations and Partial Differential Equations. 2012. pages 27. Springer. DOI http://dx.doi.org/10.1007/s00526-012-0555-7.
• Galichon, Alfred ; Carlier, Guillaume . Exponential convergence for a convexifying equation. ESAIM: Control, Optimisation and Calculus of Variations (COCV). Volume 18. n° 3. 2012. pages 611-620. EDP Sciences. DOI http://dx.doi.org/10.1051/cocv/2011163.
• Galichon, Alfred ; Dana, Rose-Anne ; Carlier, Guillaume . Pareto efficiency for the concave order and multivariate comonotonicity. Journal of Economic Theory. Volume 147. n° 1. 2012. pages 207-229. Elsevier. DOI http://dx.doi.org/10.1016/j.jet.2011.11.011.
• Santambrogio, Filippo ; Carlier, Guillaume . A continuous theory of traffic congestion and Wardrop equilibria. Journal of Mathematical Sciences. Volume 181. n° 6. 2012. pages 792-804. Springer. DOI http://dx.doi.org/10.1007/s10958-012-0715-5.
• Carlier, Guillaume ; Baillon, Jean-Bernard . From discrete to continuous Wardrop equilibria. Networks and Heterogeneous Media. Volume 7. n° 2. 2012. pages 219-241. American Institute of Mathematical Science. DOI http://dx.doi.org/10.3934/nhm.2012.7.219.
• Dacorogna, Bernard ; Carlier, Guillaume . Résolution du problème de Dirichlet pour lʼéquation du Jacobien prescrit via lʼéquation de Monge–Ampère. Comptes Rendus Mathematique. Volume 350. n° 7-8. 2012. pages 371-374. Elsevier. DOI http://dx.doi.org/10.1016/j.crma.2012.04.005.

Working Papers

• Carlier, Guillaume ; Blanchet, Adrien . Optimal transport and Cournot-Nash equilibria. Université Paris-Dauphine . 2012 .
• Carlier, Guillaume ; Brasco, Lorenzo . On certain anisotropic elliptic equations arising in congested optimal transport: local gradient bounds. Université Paris-Dauphine . 2012 .

2011

Articles

• Carlier, Guillaume ; Lachapelle, Aimé . A Planning Problem Combining Calculus of Variations and Optimal Transport. Applied Mathematics and Optimization. Volume 63. n° 1. 2011. pages 1-9. Springer. DOI http://dx.doi.org/10.1007/s00245-010-9107-8.
• Dana, Rose-Anne ; Carlier, Guillaume . Optimal Demand for Contingent Claims when Agents have law Invariant Utilities. Mathematical Finance. Volume 21. n° 2. 2011. pages 169-201. Wiley-Blackwell. DOI http://dx.doi.org/10.1111/j.1467-9965.2010.00431.x.
• Carlier, Guillaume ; Agueh, Martial . Barycenters in the Wasserstein space. SIAM Journal on Mathematical Analysis. Volume 43. n° 2. 2011. pages 904-924. Society for Industrial and Applied Mathematics. DOI http://dx.doi.org/10.1137/100805741.
• Carlier, Guillaume ; Lachapelle, Aimé . A numerical approach for a class of risk-sharing problems. Journal of Mathematical Economics. Volume 47. n° 1. 2011. pages 1-13. Elsevier. DOI http://dx.doi.org/10.1016/j.jmateco.2010.10.004.
• Peyré, Gabriel ; Ionescu, Ioan ; Comte, Myriam ; Carlier, Guillaume . A Projection Approach to the Numerical Analysis of Limit Load Problems. Mathematical Models and Methods in Applied Sciences. Volume 21. n° 6. 2011. pages 1291-1316. World Scientific. DOI http://dx.doi.org/10.1142/S0218202511005325.

2010

Articles

• de Pascale, Luigi ; Carlier, Guillaume ; Santambrogio, Filippo . A strategy for non-strictly convex transport costs and the example of $||x-y||^p$ in $R^2$. Communications in Mathematical Sciences. Volume 8. n° 4. 2010. pages 931-941. International Press.
• Brasco, Lorenzo ; Carlier, Guillaume ; Santambrogio, Filippo . Congested traffic dynamics, weak flows and very degenerate elliptic equations. Journal de mathématiques pures et appliquées. Volume 93. n° 6. 2010. pages 652-671. Elsevier. DOI http://dx.doi.org/10.1016/j.matpur.2010.03.010.
• Carlier, Guillaume ; Ekeland, Ivar . Matching for Teams. Economic Theory. Volume 42. n° 2. 2010. pages 397-418. Springer. DOI http://dx.doi.org/10.1007/s00199-008-0415-z.
• Carlier, Guillaume ; Houmia, Anouar ; Tahraoui, Rabah . On Pontryagin's Principle for the Optimal Control of some State Equations with Memory. Journal of Convex Analysis. Volume 17. n° 3-4. 2010. pages 1007-1017. Heldermann Verlag.
• Buttazzo, Giuseppe ; Carlier, Guillaume ; Tahraoui, Rabah . On Some Systems Controlled by the Structure of Their Memory. SIAM Journal on Control and Optimization. Volume 48. n° 8. 2010. pages 5241-5253. SIAM. DOI http://dx.doi.org/10.1137/100781821.
• Tahraoui, Rabah ; Carlier, Guillaume . Hamilton-Jacobi-Bellman equations for the optimal control of a state equation with memory. ESAIM: Control, Optimisation and Calculus of Variations (COCV). Volume 16. n° 3. 2010. pages 744-763. EDP Sciences. DOI http://dx.doi.org/10.1051/cocv/2009024.
• Benmansour, Fethallah ; Carlier, Guillaume ; Peyré, Gabriel ; Santambrogio, Filippo . Derivatives with respect to metrics and applications: Subgradient Marching Algorithm. Numerische Mathematik. Volume 116. n° 3. 2010. pages 357-381. Springer. DOI http://dx.doi.org/10.1007/s00211-010-0305-8.
• Santambrogio, Filippo ; Galichon, Alfred ; Carlier, Guillaume . From Knothe's transport to Brenier's map and a continuation method for optimal transport. SIAM Journal on Mathematical Analysis. Volume 41. n° 6. 2010. pages 2554-2576. SIAM. DOI http://dx.doi.org/10.1137/080740647.

Conference Contributions

• Carlier, Guillaume ; Buttazzo, Giuseppe . Optimal spatial pricing strategies with transportation costs. International Conference on Nonlinear Analysis and Optimization in celebration of Alex Ioffe's 70th and Simeon Reich's 60th birthdays. Providence (R.I.). Israël. 2010.

2009

Articles

• Carlier, Guillaume ; Agueh, Martial . A class of total variation minimization problems on the whole space. Nonlinear Analysis: Theory, Methods & Applications. Volume 70. n° 6. 2009. pages 2356-2365. Elsevier. DOI http://dx.doi.org/10.1016/j.na.2008.03.022.
• Peyré, Gabriel ; Carlier, Guillaume ; Benmansour, Fethallah ; Santambrogio, Filippo . Numerical Approximation of Continuous Traffic Congestion Equilibria. Networks and Heterogeneous Media. Volume 4. n° 3. 2009. pages 605-623. American institute of americal science. DOI http://dx.doi.org/10.3934/nhm.2009.4.605.
• Carlier, Guillaume ; Comte, Myriam ; Peyré, Gabriel . Approximation of Maximal Cheeger Sets by Projection. Mathematical Modelling and Numerical Analysis. Volume 43. n° 1. 2009. pages 139-150. EDP Sciences. DOI http://dx.doi.org/10.1051/m2an/2008040.

2008

Articles

• Carlier, Guillaume . Differentiability properties of Rank-Linear Utilities. Journal of Mathematical Economics. Volume 44. n° 1. 2008. pages 15-23. Elsevier. DOI http://dx.doi.org/10.1016/j.jmateco.2007.04.002.
• Lachand-Robert, Thomas ; Carlier, Guillaume . Representation of the polar cone of convex functions and applications. Journal of Convex Analysis. Volume 15. n° 3. 2008. pages 535-546. Heldermann Verlag.
• Dana, Rose-Anne ; Carlier, Guillaume . Two-Persons Efficient Risk-Sharing and Equilibria for Concave Law-Invariant Utilities. Economic Theory. Volume 36. n° 2. 2008. pages 189-223. Springer. DOI http://dx.doi.org/10.1007/s00199-007-0266-z.
• Santambrogio, Filippo ; Jimenez, Chloé ; Carlier, Guillaume . Optimal transportation with traffic congestion and Wardrop equilibria. SIAM Journal on Control and Optimization. Volume 47. n° 3. 2008. pages 1330-1350. DOI http://dx.doi.org/10.1137/060672832.
• Carlier, Guillaume ; Comte, Myriam . Thomas Lachand-Robert--memorial volume.. Journal of Convex Analysis. Volume 15. n° 3. 2008. pages 455-458. Heldermann Verlag.
• Carlier, Guillaume ; Tahraoui, Rabah . On some optimal control problems governed by a state equation with memory. ESAIM: Control, Optimisation and Calculus of Variations (COCV). Volume 14. n° 4. 2008. pages 725-743. EDP Sciences. DOI http://dx.doi.org/10.1051/cocv:2008005.
• Carlier, Guillaume ; Nazaret, Bruno . Optimal transportation for the determinant. ESAIM: Control, Optimisation and Calculus of Variations (COCV). Volume 14. n° 4. 2008. pages 678-698. EDP Sciences. DOI http://dx.doi.org/10.1051/cocv:2008006.

Conference Contributions

• Carlier, Guillaume ; Salomon, Julien . A monotonic algorithm for the optimal control of the Fokker-Planck equation. 47th IEEE Conference on Decision and Control. Cancun. Mexique. 2008.

2007

Articles

• Carlier, Guillaume ; Dana, Rose-Anne . Are generalized call-spreads efficient ?. Journal of Mathematical Economics. Volume 43. n° 5. 2007. pages 581-596. Elsevier B.V.. DOI http://dx.doi.org/10.1016/j.jmateco.2006.07.008.
• Comte, Myriam ; Carlier, Guillaume . On a weighted total variation minimization problem. Journal of Functional Analysis. Volume 250. n° 1. 2007. pages 214-226. Elsevier. DOI http://dx.doi.org/10.1016/j.jfa.2007.05.022.
• Buttazzo, Giuseppe ; Carlier, Guillaume ; Comte, Myriam . On the selection of maximal Cheeger sets. Differential and Integral Equations. Volume 20. n° 9. 2007. pages 991-1004. Khayyam Publishing.

2006

Articles

• Renou, Ludovic ; Carlier, Guillaume . Debt contracts with ex-ante and ex-post asymmetric information: an example. Economic Theory. Volume 28. n° 2. 2006. pages 461-473. Springer. DOI http://dx.doi.org/10.1007/s00199-005-0632-7.
• Dana, Rose-Anne ; Carlier, Guillaume . Law invariant concave utility functions and optimization problems with monotonicity and comonotonicity constraints. Statistics and Decisions. Volume 24. n° 1. 2006. pages 127-152. Oldenbourg Wissenschaftsverlag. DOI http://dx.doi.org/10.1524/stnd.2006.24.1.127.

2005

Articles

• Carlier, Guillaume ; Dana, Rose-Anne . Existence and monotonicity of solutions to moral hazard problems. Journal of Mathematical Economics. Volume 41. n° 7. 2005. pages 826-843. Elsevier. DOI http://dx.doi.org/10.1016/j.jmateco.2004.08.002.
• Carlier, Guillaume ; Dana, Rose-Anne . Rearrangement inequalities in non-convex insurance models. Journal of Mathematical Economics. Volume 41. n° 4-5. 2005. pages 483-503. Elsevier. DOI http://dx.doi.org/10.1016/j.jmateco.2004.12.004.

2004

Articles

• Carlier, Guillaume ; Ekeland, Ivar . The Structure of Cities. Journal of Global Optimization. Volume 29. n° 4. 2004. pages 371-376. Springer. DOI http://dx.doi.org/10.1023/B:JOGO.0000047909.02031.ab.

2003

Articles

• Carlier, Guillaume ; Dana, Rose-Anne . Pareto efficient insurance contracts when the insurer's cost function is discontinuous. Economic Theory. Volume 21. n° 4. 2003. pages 871-893. Springer. DOI http://dx.doi.org/10.1007/s00199-002-0281-z.
• Carlier, Guillaume ; Dana, Rose-Anne . Core of convex distortions of a probability. Journal of Economic Theory. Volume 113. n° 2. 2003. pages 199-222. Elsevier. DOI http://dx.doi.org/10.1016/S0022-0531(03)00122-4.
• Shahidi, Niousha ; Carlier, Guillaume ; Dana, Rose-Anne . Efficient Insurance Contracts under Epsilon-Contaminated Utilities. Geneva Papers on Risk and Insurance - Theory. Volume 28. n° 1. 2003. pages 59-71. Springer. DOI http://dx.doi.org/10.1023/A:1022195815221.

Book chapters

• Carlier, Guillaume . Duality and existence for a class of mass transportation problems and economic applications. Maruyama, T.; Kusuoka, S.. Advances in Mathematical Economics, 5. Berlin. 2003. pages 1-21.

2002

Articles

• Carlier, Guillaume . Nonparametric Adverse Selection Problems. Annals of Operations Research. Volume 114. n° 1-4. 2002. pages 71-82. Springer. DOI http://dx.doi.org/10.1023/A:1021001917492.
• Carlier, Guillaume ; Gaumont, Damien . A note on wage differentials, fixed-wages and adverse selection. Economics Letters. Volume 77. n° 3. 2002. pages 349-356. Elsevier. DOI http://dx.doi.org/10.1016/S0165-1765(02)00147-7.
• Carlier, Guillaume . Calculus of variations with convexity constraint. Journal of Nonlinear and Convex Analysis. Volume 3. n° 2. 2002. pages 125-143. Yokohama Publishers.

Working Papers

• Shananin, A.A. ; Levin, V.L. ; Ekeland, Ivar ; Carlier, Guillaume . A system of inequalities arising in mathematical economics and connected with the Monge-Kantorovich problem. Université Paris-Dauphine . 2002 .
• Carlier, Guillaume ; Dana, Rose-Anne . Insurance Contracts with deductibles and upper limits. Université Paris-Dauphine . 2002 .

2001

Articles

• Carlier, Guillaume ; Evstigneev, Igor . On Dynkin's model of economic equilibrium under uncertainty. Economics Bulletin. Volume 3. n° 12. 2001. pages 1-8. Vanderbilt University.
• Lachand-Robert, Thomas ; Carlier, Guillaume . Regularity of solutions for some variational problems subject to a convexity constraint. Communications on Pure and Applied Mathematics. Volume 54. n° 5. 2001. pages 583-594. John Wiley & Sons, Inc.. DOI http://dx.doi.org/10.1002/cpa.3.
• Carlier, Guillaume ; Lachand-Robert, Thomas ; Maury, Bertrand . H1-projection into the set of convex functions : a saddle-point formulation. ESAIM: Proceedings (PROC). Volume 10. 2001. pages 277-289. EDP Sciences. DOI http://dx.doi.org/10.1051/proc:2001017.
• Carlier, Guillaume ; Lachand-Robert, Thomas ; Maury, Bertrand . A numerical approach to variational problems subject to convexity constraint. Numerische Mathematik. Volume 88. n° 2. 2001. pages 299-318. Springer. DOI http://dx.doi.org/10.1007/PL00005446.

2000

Working Papers

• Carlier, Guillaume ; Gaumont, Damien . Labor Contracts With Two-Dimensional Adverse Selection. Université Paris-Dauphine . 2000 .