Sun, Xiang; Zhang, Yongchao - In: Economic Theory 58 (2015) 1, pp. 161-182
unit interval, we construct a nonatomic game which has no pure-strategy Nash equilibrium. But if the player space is … modeled by a saturated probability space, there is a pure-strategy Nash equilibrium in every nonatomic game. Finally, if every … game with a fixed nonatomic player space and a fixed infinite-dimensional action space has a pure-strategy Nash equilibrium …