K. Arrow and G. Debreu, Existence of an equilibrium for a competitive economy, Econometrica, vol.22, pp.265-290, 1954.
DOI : 10.1017/CCOL052123736X.005

R. J. Aumann, Utility Theory without the Completeness Axiom, Econometrica, vol.30, issue.3, pp.445-462, 1962.
DOI : 10.2307/1909888

P. Barelli and I. Meneghel, A Note on the Equilibrium Existence Problem in Discontinuous Games, Econometrica, vol.81, pp.813-824, 2013.

P. Bich and R. Laraki, On the Existence of Approximated Equilibria and Sharing-Rule Equilibria in Discontinuous Games, p.846143, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00846143

G. Carmona, An existence result for discontinuous games, Journal of Economic Theory, vol.144, issue.3, pp.1333-1340, 2009.
DOI : 10.1016/j.jet.2008.11.004

URL : http://epubs.surrey.ac.uk/803991/1/rd081117.pdf

G. Carmona and K. Podczeck, Existence of Nash equilibrium in ordinal games with discontinuous preferences, Economic Theory, vol.12, issue.3, 2015.
DOI : 10.1007/s00199-015-0901-z

D. Gale and A. Mas, An equilibrium existence theorem for a general model without ordered preferences, Journal of Mathematical Economics, vol.2, issue.1, pp.9-15, 1975.
DOI : 10.1016/0304-4068(75)90009-9

M. O. Jackson, L. K. Simon, J. M. Swinkels, and W. R. Zame, Communication and Equilibrium in Discontinuous Games of Incomplete Information, Econometrica, vol.70, issue.5, pp.1711-1740, 2002.
DOI : 10.1111/1468-0262.00351

E. A. Ozgür-evren and . Ok, On the multi-utility representation of preference relations, Journal of Mathematical Economics, vol.47, issue.4-5, pp.554-563, 2011.
DOI : 10.1016/j.jmateco.2011.07.003

P. J. Reny, On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games, Econometrica, vol.67, issue.5, pp.1029-1056, 1999.
DOI : 10.1111/1468-0262.00069

W. Shafer and H. Sonnenschein, Equilibrium in abstract economies without ordered preferences, Journal of Mathematical Economics, vol.2, issue.3, pp.345-348, 1975.
DOI : 10.1016/0304-4068(75)90002-6

L. K. Simon and W. R. Zame, Discontinuous Games and Endogenous Sharing Rules, Econometrica, vol.58, issue.4, pp.861-872, 1990.
DOI : 10.2307/2938353

N. C. Yannelis and W. He, Equilibrium Theory with Discontinuous and Non-Ordered Preferences, 2014.