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战斗对策:有约束极小极大途径(Ⅰ)(英文) 被引量:1

On Combat Games:A Constrained Minimaximization Approach (Ⅰ)
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摘要 本文把战斗对策归结为有约束极小极大问题,讨论解的存在性.引进不连续罚函数后,把有约束问题化为无约束极小极大问题. Combat games are considered with a constrained minimaximization approach in this research work. We formulate a combat game with several constrained min-max problems and convert them to unconstrained ones by utilizing a discontinuous penalty technique. Existence of min-max solutions is examined. With the integral minimization method, we will study the solution of the problem in [22].
作者 G.Isac 郑权
出处 《运筹学学报》 CSCD 北大核心 2005年第4期1-13,共13页 Operations Research Transactions
关键词 运筹学 战斗对策 微分对策 有约束极小极大 不连续罚函数 Operations research, combat games, differential games, constrained minimaximization, discontinuous penalty function
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  • 1M. D. Ardema, M. Heymann and N. Rajam. Combat games. Journal of Optimization Theory and Applications, 1985, 46: 391~398.
  • 2M. D. Ardema, M. Heymann and N. Rajam. Analysis of a combat problem: the turret game.Journal of Optimization Theory and Applications, 1987, 54: 23~42.
  • 3T. Basar and G. T. Olsder. Dynamic Noncooperative Game Theory, Academic Press, New York, 1982.
  • 4A. Blaquiere, F. Gerard and G. Leitmann. Quantitative and Qualitative Games, Academic Press, New York, 1969.
  • 5J. V. Breakwell, Comment on "To pursue or to evade-that is the question", Journal of Guidance, Control and Dynamics, 1986, 9: 127~128.
  • 6E. A. Coddington and N. Levinson. Theory of Ordinary differential Equations, McGraw Hill,New York, 1955.
  • 7A. Davidovitz and J. Shinar. Eccentric two-target model for qualitative air combat game analysis. Journal of Guidance, Control and Dynamics, 1985, 8: 325~331.
  • 8A. F. Filippov. Classical solutions of differential equations with multi-valued right-hand side.SIAM J. Control, 1967, 5: 609~621.
  • 9A. F. Filippov. The existence of solutions of generalized differential equations. Math. Notes,1971, 10: 608~611.
  • 10A. Friedman. Differential Games, Academic Press, New York, 1971.

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