Pure-strategy Nash equilibria in nonatomic games with infinite-dimensional action spaces
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| 024 | 7 | 0 | |a 10.1007/s00199-013-0795-6 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00199-013-0795-6 | ||
| 245 | 0 | 0 | |a Pure-strategy Nash equilibria in nonatomic games with infinite-dimensional action spaces |h [Elektronische Daten] |c [Xiang Sun, Yongchao Zhang] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2013 | ||
| 690 | 7 | |a Infinite-dimensional action space |2 nationallicence | |
| 690 | 7 | |a Nonatomic game |2 nationallicence | |
| 690 | 7 | |a Pure-strategy Nash equilibrium |2 nationallicence | |
| 690 | 7 | |a Saturated probability space |2 nationallicence | |
| 700 | 1 | |a Sun |D Xiang |u Economics and Management School, Wuhan University, 430072, Wuhan, China |4 aut | |
| 700 | 1 | |a Zhang |D Yongchao |u School of Economics, Shanghai University of Finance and Economics, 777 Guoding Road, 200433, Shanghai, China |4 aut | |
| 773 | 0 | |t Economic Theory |d Springer Berlin Heidelberg |g 58/1(2015-01-01), 161-182 |x 0938-2259 |q 58:1<161 |1 2015 |2 58 |o 199 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00199-013-0795-6 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00199-013-0795-6 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Sun |D Xiang |u Economics and Management School, Wuhan University, 430072, Wuhan, China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zhang |D Yongchao |u School of Economics, Shanghai University of Finance and Economics, 777 Guoding Road, 200433, Shanghai, China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Economic Theory |d Springer Berlin Heidelberg |g 58/1(2015-01-01), 161-182 |x 0938-2259 |q 58:1<161 |1 2015 |2 58 |o 199 | ||