In this paper, we exhibit a relation between the Nash equilibrium existence problem in ordinal games and the Ky Fan minimax inequality. In this way, we obtain new sufficient conditions for the existence of equilibria. The main tools used in the paper are a necessary condition introduced in [Nassah, R., Tian, G.: On the existence of Nash equilibrium in discontinuous games, Econ. Theory 61 (3), 515-540 (2016)] for normal form games and a generalization of the emph{single deviation property}. Examples compare our result with the previous ones.
Equilibrium existence in games: Slight single deviation property and Ky Fan minimax inequality / Scalzo, Vincenzo. - In: JOURNAL OF MATHEMATICAL ECONOMICS. - ISSN 0304-4068. - 82:(2019), pp. 197-201. [10.1016/j.jmateco.2019.02.008]
Equilibrium existence in games: Slight single deviation property and Ky Fan minimax inequality
Scalzo, Vincenzo
2019
Abstract
In this paper, we exhibit a relation between the Nash equilibrium existence problem in ordinal games and the Ky Fan minimax inequality. In this way, we obtain new sufficient conditions for the existence of equilibria. The main tools used in the paper are a necessary condition introduced in [Nassah, R., Tian, G.: On the existence of Nash equilibrium in discontinuous games, Econ. Theory 61 (3), 515-540 (2016)] for normal form games and a generalization of the emph{single deviation property}. Examples compare our result with the previous ones.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
