UNIQUENESS OF NASH STRATEGIES FOR A CLASS OF ANALYTIC DIFFERENTIAL GAMES

被引：17

作者：

PAPAVASSILOPOULOS, GP

CRUZ, JB

机构：

[1] UNIV ILLINOIS,COORDINATED SCI LAB,URBANA,IL 61801

[2] UNIV ILLINOIS,DEPT ELECT ENGN,URBANA,IL 61801

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1979年 / 27卷 / 02期

关键词：

differential games; Nash games; partial differential equations;

D O I：

10.1007/BF00933234

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The uniqueness of Nash equilibria is shown for the case where the data of the problem are analytic functions and the admissible strategy spaces are restricted to analytic functions of the current state and time. © 1979 Plenum Publishing Corporation.

引用

页码：309 / 314

页数：6

共 9 条

[1]

BASAR T, 1977, SIAM J CONTROL OPTIM, V15, P636, DOI 10.1137/0315041

[2]

Basar T., 1976, INT J GAME THEORY, V5, P65, DOI DOI 10.1007/BF01753310

[3] TOWARD A THEORY OF MANY PLAYER DIFFERENTIAL GAMES [J].

CASE, JH .

SIAM JOURNAL ON CONTROL, 1969, 7 (02) :179-&

[4]

COURANT R, 1962, METHODS MATH PHYSICS, V2

[5]

DETTMAN JW, 1970, APPLIED COMPLEX VARI

[6]

Fleming WH., 1975, DETERMINISTIC STOCHA

[7]

John F., 1975, PARTIAL DIFFERENTIAL

[8]

Lefschetz S., 1957, DIFFERENTIAL EQUATIO

[9]

Leitmann G, 1974, COOPERATIVE NONCOOPE

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