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Full Product Details

Author:   Andrew N. Krasovskii ,  Nikolai N. Krasovskii
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   1995 ed.
Weight:   0.655kg
ISBN:  

9780817636982

ISBN 10:   0817636986
Pages:   322
Publication Date:   22 December 1994
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Content.- I. Pure Strategies for Positional Functionals.- 1. A model problem.- 2. A model problem for mixed strategies.- 3. Equation of motion.- 4. The positional quality index.- 5. Pure positional strategies.- 6. Statement of the problem.- 7. An auxiliary w-object.- 8. Accompanying points. An extremal shift.- 9. Existence of the Solution.(Value of the game. Optimal strategies).- II. Stochastic Program Synthesis of Pure Strategies for a Positional Functional.- 10. Differential games for typical functionals ?(1) and ?(2).- 11. Approximating functionals.- 12. Stochastic program maximins ?*(1)(·) and ?*(2)(·).- 13. Recurrent construction for the program extremum (i)(·).- 14. Recurrent construction for the program extremum e*(2)(·).- 15. Condition of u-stability for the program extremum e*(1)(·).- 16. Condition of v-stability for the program extremum e*(1) (·).- 17. Approximating Solution of the differential game for ?(1).- 18. Construction of optimal approximating strategies.- 19. Conditions of w-stability and v-stability for the program extremum e*(2) (·).- 20. Approximating Solution of the differential game for ?(2).- III. Pure Strategies for Quasi-Positional Functionals.- 21. Quasi-positional functionals.- 22. The differential game for the functional ?(4).- 23. Calculation of the approximating value of the game for ?(4).- 24. Differential games with the functional ?(3).- 25. Constructions of approximating optimal strategies for ?(3).- 26. Differential games for the functionals ?(i), i = 5 , . . . , 8.- 27. Construction of approximating optimal strategies for games with functionals ?(i), i = 5 , . . . , 8.- 28. Example of constructing the optimal strategies for ?(i).- 29. Example with a quadratic quality index.- 30. Examples of constructing optimalstrategies for positional functionals.- 31. Examples of constructing optimal strategies for quasi-positional functionals.- IV. Mixed Strategies for Positional and Quasi-Positional Functionals.- 32. Mixed strategies Su and Sv.- 33. The motions xsu,v [·] and xsv,u [·].- 34. Statement of the problem in the class of mixed strategies. Existence of the Solution.- 35. Constructions of the values e(s)*1(·) and e(s)*2(·).- 36. Construction of approximating optimal strategies Sua and Sva.- 37. Example with mixed strategies.- 38. The second example with mixed strategies.

Reviews

...the book under review is very valuable in the area and the authors ought to be commended for their nice work. --SIAM Review This is an interesting book... --Zentralblatt Math

.. .the book under review is very valuable in the area and the authors ought to be commended for their nice work. --SIAM Review This is an interesting book... --Zentralblatt Math

"""...the book under review is very valuable in the area and the authors ought to be commended for their nice work."" --SIAM Review  ""This is an interesting book..."" --Zentralblatt Math"

""...the book under review is very valuable in the area and the authors ought to be commended for their nice work."" --SIAM Review  ""This is an interesting book..."" --Zentralblatt Math

.. .the book under review is very valuable in the area and the authors ought to be commended for their nice work. --SIAM Review This is an interesting book... --Zentralblatt Math

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