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(m n)-人主从对策 被引量:1

(m,n)-PERSON LEADER-FOLLOWER GAMES
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摘要 本文研究了(m,n)-人主从对策,讨论了一种非合作以及二种半合作解的概念: SN-解,SΣ-解和SQ-解,研究了它们的性质,给出了它们的存在性和唯一性定理。 In this paper, (m,n)-person leader-follower games are examined. One noncooper-ative and two semi-cooperative solution concepts, named SN-solution, SΣ -solution and SQsolution, are discussed. Their properties are studied, and the existence and uniqueness theorems are proved.
作者 宋学锋 郑权
出处 《高校应用数学学报(A辑)》 CSCD 北大核心 1989年第4期506-515,共10页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
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参考文献1

  • 1宋学锋,运筹学杂志,1988年,2期,12页

同被引文献7

  • 1H Von Stackelberg.The Theory of the Market Economy[M]. Oxford University Press, Oxtord, 1952.
  • 2Chen C I, Cruz J B, Jr. Stackelberg solution for two person games with basiaed information pattern[J]. IEEE Trans Automatic Control, 1972, Ac-17:791-798.
  • 3Simann M, Cruz J B, Jr, On the stackelberg strategy in nonzero-sum games[J].Journal of Optimization Theory and Applications, 1973,11:1201-1209.
  • 4宋学锋 郑权.(m,n)一人主从线性二次微分对策及其SN一支付结构模型[J].运筹学杂志,1988,7(2):67-68.
  • 5Aubin J P. Mathematical Methods of Game and Economic Theory[M]. North Holland Publishing Company, 1979.
  • 6Aubin J P. Applied Abstract Analysis[M]. A wiley-intersience publication, John Willey and sons, 1977.
  • 7宋学锋.(m,n)-人主从对策的SP-解[J].应用数学学报,1992,15(3):317-321. 被引量:1

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