DISCONTINUOUS STACKELBERG-SOLUTIONS

被引：8

作者：

WISHART, DMG ^{[1
]}

OLSDER, GJ ^{[1
]}

机构：

[1] TWENTE UNIV TECHNOL,DEPT APPL MATH,ENSCHEDE,NETHERLANDS

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 1979年 / 10卷 / 12期

关键词：

D O I：

10.1080/00207727908941665

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with a class of many-person non-zero-sum differential games in which one player has the role of ‘ leader ’ while the others ‘ follow ’. Necessary conditions are obtained for the existence of open-loop Stackelberg solutions under the assumption that the followers respond to the leader by selecting Nash equilibrium controls. Some simple investment problems are described which give rise to discontinuous optimal controls for both leader and follower(s). © 1979 Taylor & Francis Group, LLC.

引用

页码：1359 / 1368

页数：10

共 11 条

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SELBUZ, H
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[2] BRYSON A, 1969, APPLIED OPTIMAL CONT
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[4] LEADER-FOLLOWER STRATEGIES FOR MULTILEVEL SYSTEMS
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[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1978, 23 (02) : 244 - 255
[5] Gelfand I. M., 1964, GENERALIZED FUNCTION, V1
[6] Intrilligator M. D., 1971, MATH OPTIMIZATION EC
[7] Leitmann G, 1974, COOPERATIVE NONCOOPE
[8] CLOSED-LOOP STACKELBERG STRATEGIES IN LINEAR-QUADRATIC PROBLEMS
MEDANIC, J
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1978, 23 (04) : 632 - 637
[9] MULTILEVEL STACKELBERG STRATEGIES IN LINEAR-QUADRATIC SYSTEMS
MEDANIC, J
RADOJEVIC, D
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1978, 24 (03) : 485 - 497
[10] On the Stackelberg Strategy in Nonzero-Sum Games
Simaan, M.
Cruz, J. B., Jr.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1973, 11 (05) : 533 - 555

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