[1] Border K C. Fixed Point Theorems with Applications to Economics and Game Theory[M]. Cambridge:Cambridge University Press, 1985.
[2] Efe A O K. Real Analysis with Economic Applications[M]. Princeton:Princeton University Press, 2007.
[3] 俞建. 博弈论与非线性分析[M]. 北京:科学出版社, 2008.
[4] Brouwer L. Uber Abbidungen von Mannigfaltigkeiten[J]. Mathematische Annalen, 1912, 71:97-115.
[5] Kakutani S. A generalization of Brouwer's fixed point theorem[J]. Duke Mathematical Journal, 1941, 8:457-459.
[6] 张恭庆,林源渠. 泛函分析讲义(上册)[M]. 北京:北京大学出版社,1987.
[7] Berge C. Topological Spaces[M]. New York:MacMillan, 1963.
[8] 俞建. 博弈论选讲[M]. 北京:科学出版社,2014.
[9] Uzawa H. Walras' existence theorem and Brouwer's fixed point theorem[J]. Economic Studies Quarterly, 1962, 8:59-62.
[10] Gale D. The law of supply and demand[J]. Mathematica Scandinavica, 1955, 3:155-169.
[11] Nikaido H. On the classical multilateral exchange problems[J]. Microeconomica, 1956, 8:135-145.
[12] Debreu G. Market equilibrium[J]. Proceedings of the National Academy of Sciences of the United States of America, 1956, 42(11):876-878.
[13] Komiya H. Inverse of the Berge maximum theorem[J]. Economic Theory, 1997, 9:371-375.
[14] Zhou L. The structure of the Nash equilibrium sets and 2-player games[J]. Rationality and Equilibrium, 2006, 57:57-66.
[15] Yu J, Wang N F, Yang Z. Equivalence results between Nash equilibrium theorem and some fixed point theorems[J]. Fixed Point Theory and Applications, 2016, 69.
[16] 俞建. 有限理性与博弈论中平衡点集的稳定性[M]. 北京:科学出版社,2017. |
北大中文核心期刊