caa a22 4500 605475636 CHVBK 20210128100352.0 cr unu---uuuuu 210128e20150101xx s 000 0 eng 10.1007/s00199-013-0795-6 doi (NATIONALLICENCE)springer-10.1007/s00199-013-0795-6 Pure-strategy Nash equilibria in nonatomic games with infinite-dimensional action spaces [Elektronische Daten] [Xiang Sun, Yongchao Zhang] This paper studies the existence of pure-strategy Nash equilibria for nonatomic games where players take actions in infinite-dimensional Banach spaces. For any infinite-dimensional Banach space, if the player space is modeled by the Lebesgue 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, the underlying player space must be saturated. Springer-Verlag Berlin Heidelberg, 2013 Infinite-dimensional action space nationallicence Nonatomic game nationallicence Pure-strategy Nash equilibrium nationallicence Saturated probability space nationallicence Sun Xiang Economics and Management School, Wuhan University, 430072, Wuhan, China aut Zhang Yongchao School of Economics, Shanghai University of Finance and Economics, 777 Guoding Road, 200433, Shanghai, China aut Economic Theory Springer Berlin Heidelberg 58/1(2015-01-01), 161-182 0938-2259 58:1<161 2015 58 199 https://doi.org/10.1007/s00199-013-0795-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00199-013-0795-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sun Xiang Economics and Management School, Wuhan University, 430072, Wuhan, China aut NATIONALLICENCE 700 1- Zhang Yongchao School of Economics, Shanghai University of Finance and Economics, 777 Guoding Road, 200433, Shanghai, China aut NATIONALLICENCE 773 0- Economic Theory Springer Berlin Heidelberg 58/1(2015-01-01), 161-182 0938-2259 58:1<161 2015 58 199