A unified approach to the Nash equilibrium existence in large games from finitely many players to infinitely many players

作者：Yang, Zhe^*; Song, Qingping

来源：Journal of Fixed Point Theory and Applications, 2022, 24(1): 11.

DOI：10.1007/s11784-021-00927-4

• Large game
• Nash equilibrium
• existence
• a unified approach

In this paper, we use the property of compact sets to propose a unified approach to the Nash equilibrium existence in large games. Our main technique is to convert the large game into a game with finitely many players. We shall use the method to prove the existence theorems of Nash equilibria in different games with infinitely many players.