D. Ackerberg, L. Benkard, S. Berry, and A. Pakes, Econometric tools for analyzing market outcomes, Handbook of Econometrics, 2007.
DOI : 10.1016/s1573-4412(07)06063-1

T. Anderson and H. Rubin, Estimation of the Parameters of a Single Equation in a Complete System of Stochastic Equations, The Annals of Mathematical Statistics, vol.20, issue.1, pp.46-63, 1949.
DOI : 10.1214/aoms/1177730090

D. Andrews, Chi-Square Diagnostic Tests for Econometric Models: Theory, Econometrica, vol.56, issue.6, pp.1419-1453, 1988.
DOI : 10.2307/1913105

D. Andrews, A Conditional Kolmogorov Test, Econometrica, vol.65, issue.5, pp.1097-1128, 1997.
DOI : 10.2307/2171880

D. Andrews, Inconsistency of the Bootstrap when a Parameter is on the Boundary of the Parameter Space, Econometrica, vol.68, issue.2, pp.399-405, 2000.
DOI : 10.1111/1468-0262.00114

D. Andrews, S. Berry, and P. Jia, Placing bounds on parameters of entry games in the presence of multiple equilibria, 2003.

D. Andrews and P. Guggenberger, The Limit of Finite Sample Size and a Problem with Subsampling, 2006.

A. Beresteanu and F. Molinari, Asymptotic properties for a class of partially identified models, Econometrica, 2007.

R. Blundell, M. Browning, and I. Crawford, Best nonparametric bounds on demand responses, 2005.

B. Brock and S. Durlauf, Identification of binary choice models with social interactions, Journal of Econometrics, vol.140, issue.1, 2005.
DOI : 10.1016/j.jeconom.2006.09.002

F. Bugni, Bootstrap methods for some Partially Identified Models, 2007.

X. Chen, H. Hong, and E. Tamer, Measurement Error Models with Auxiliary Data, Review of Economic Studies, vol.72, issue.2, pp.343-366, 2005.
DOI : 10.1111/j.1467-937X.2005.00335.x

V. Chernozhukov, H. Hong, and E. Tamer, Estimation and Confidence Regions for Parameter Sets in Econometric Models, Econometrica, vol.75, issue.5, pp.1243-1285, 2007.
DOI : 10.1111/j.1468-0262.2007.00794.x

F. Ciliberto and E. Tamer, Market structure and multiple equilibria in airline markets, 2006.

P. Cross and C. Manski, Regressions, Short and Long, Econometrica, vol.70, issue.1, pp.357-368, 2002.
DOI : 10.1111/1468-0262.00279
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.199.646

R. Dudley, Real Analysis and Probability, 2002.
DOI : 10.1017/CBO9780511755347

U. Einmahl and D. Mason, Gaussian approximation of local empirical processes indexed by functions, Probability Theory and Related Fields, pp.283-311, 1997.
DOI : 10.1007/s004400050086

A. Galichon and M. Henry, Dilation Bootstrap. A methodology for constructing confidence regions with partially identified models, 2006.
DOI : 10.2139/ssrn.934442

A. Galichon and M. Henry, Inference in incomplete models, " Columbia University Discussion Paper 0506-28 available at http://www.columbia, pp.506-534, 2006.

A. Galichon and M. Henry, Universal Power of Kolmogorov-Smirnov Tests of Under-Identifying Restrictions, SSRN Electronic Journal, 2008.
DOI : 10.2139/ssrn.1123825

E. Giné and S. Zinn, Bootstrapping General Empirical Measures, The Annals of Probability, vol.18, issue.2, pp.851-859, 1990.
DOI : 10.1214/aop/1176990862

J. Heckman, J. Smith, and N. Clements, Making The Most Out Of Programme Evaluations and Social Experiments: Accounting For Heterogeneity in Programme Impacts, The Review of Economic Studies, vol.64, issue.4, pp.487-535, 1997.
DOI : 10.2307/2971729

J. Horowitz and C. Manski, Censoring of outcomes and regressors due to survey nonresponse: Identification and estimation using weights and imputations, Journal of Econometrics, vol.84, issue.1, pp.37-58, 1998.
DOI : 10.1016/S0304-4076(97)00077-8

G. Imbens and C. Manski, Confidence Intervals for Partially Identified Parameters, Econometrica, vol.72, issue.6, pp.1845-1859, 2004.
DOI : 10.1111/j.1468-0262.2004.00555.x

B. Jovanovic, Observable Implications of Models with Multiple Equilibria, Econometrica, vol.57, issue.6, pp.1431-1437, 1989.
DOI : 10.2307/1913714

H. Kellerer, Duality theorems for marginal problems, Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, pp.399-432, 1984.
DOI : 10.1007/BF00532047

T. Koopmans and O. , The Identification of Structural Characteristics, The Annals of Mathematical Statistics, vol.21, issue.2, pp.165-181, 1950.
DOI : 10.1214/aoms/1177729837

O. Linton, E. Maasoumi, and Y. Whang, Testing for stochastic dominance under general conditions: a subsampling approach, Review of Economic Studies, vol.71, pp.735-765, 2005.

X. Liu and Y. Shao, Asymptotics for likelihood ratio tests under loss of identifiability, Annals of Statistics, vol.31, pp.807-832, 2003.

T. Magnac and E. Maurin, Partial Identification in Monotone Binary Models: Discrete Regressors and Interval Data, Review of Economic Studies, vol.75, issue.3, 2005.
DOI : 10.1111/j.1467-937X.2008.00490.x
URL : https://hal.archives-ouvertes.fr/halshs-00754272

C. Manski, Nonparametric bounds on treatment effects, American Economic Review, vol.80, pp.319-323, 1990.

C. Manski, Social Learning from Private Experiences: The Dynamics of the Selection Problem, Review of Economic Studies, vol.71, issue.2, pp.443-458, 2004.
DOI : 10.1111/0034-6527.00291

C. Manski, Partial identification in econometrics, New Palgrave Dictionary of Economics, 2005.

J. Marschak and W. Andrews, Random Simultaneous Equations and the Theory of Production, Econometrica, vol.12, issue.3/4, pp.143-203, 1944.
DOI : 10.2307/1905432

R. Matzkin, Restrictions of economic theory in nonparametric methods, Handbook of Econometrics, pp.1-16, 1994.

D. Mcfadden, Testing for Stochastic Dominance, Studies in the Economics of Uncertainty, pp.113-134, 1989.
DOI : 10.1007/978-1-4613-8922-4_7

I. Molchanov, Theory of Random Sets, 2005.

F. Molinari, Contaminated, corrupted and missing data, Northwestern University Ph.D, 2003.

G. Monge, Mémoire sur la théorie des déblais et des remblais, 1781.

A. Pakes, J. Porter, K. Ho, and J. Ishii, Moment Inequalities and Their Application, Econometrica, vol.83, issue.1, 2004.
DOI : 10.3982/ECTA6865
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.232.9238

C. Roehrig and A. Nonparametric-rosen, Conditions for identification in parametric and Confidence sets for partially identified parameters that satisfy a finite number of moment inequalities, 1988.

P. Sen and M. Silvapulle, Constrained Statistical Inference: Inequality, Order and Shape Restrictions, 2004.

W. Stute, The Oscillation Behavior of Empirical Processes: The Multivariate Case, The Annals of Probability, vol.12, issue.2, pp.361-379, 1984.
DOI : 10.1214/aop/1176993295

M. Talagrand, The Transportation Cost from the Uniform Measure to the Empirical Measure in Dimension $\geq 3$, The Annals of Probability, vol.22, issue.2, pp.919-959, 1994.
DOI : 10.1214/aop/1176988735

E. Tamer, Incomplete Simultaneous Discrete Response Model with Multiple Equilibria, Review of Economic Studies, vol.70, issue.1, pp.147-165, 2003.
DOI : 10.1111/1467-937X.00240
URL : http://restud.oxfordjournals.org/cgi/content/short/70/1/147

J. Tinbergen, Some remarks on the distribution of labour incomes, " in International Economic Papers 1: Translations prepared for the economic association, 1951.

A. Van-der-vaart, Asymptotic Statistics, Weak Convergence and Empirical Processes, 1996.
DOI : 10.1017/CBO9780511802256

C. Villani, Topics in Optimal Transportation, 2003.
DOI : 10.1090/gsm/058