On the existence of Nash equilibrium in discontinuous games Academic Article

abstract

• 2015, Springer-Verlag Berlin Heidelberg. This paper offers an equilibrium existence theorem in discontinuous games. We introduce a new notion of very weak continuity, called quasi-weak transfer continuity that guarantees the existence of pure strategy Nash equilibrium in compact and quasiconcave games. We also consider possible extensions and improvements of the main result. We present applications to show that our conditions allow for economically meaningful payoff discontinuities.

authors

• Tian, Guoqiang

published proceedings

• Economic Theory

altmetric score

• 0.5

author list (cited authors)

• Nessah, R., & Tian, G.

citation count

• 30

complete list of authors

• Nessah, Rabia||Tian, Guoqiang

publication date

• March 2016

publisher

• Springer Nature  Publisher

published in

• Economic Theory  Journal

keywords

• 38 Economics
• 3801 Applied Economics
• 3803 Economic Theory

Digital Object Identifier (DOI)

• 10.1007/s00199-015-0921-8

start page

• 515

end page

• 540

volume

• 61

issue

• 3

URL

• http://dx.doi.org/10.1007/s00199-015-0921-8