ENGLISH

The Vector-Valued Maximin

By V.I. Zhukovskiy and M.E. Salukvadze (Eds.)

Book information

Publisher
Academic Press
Year
1994
ISBN
9780127799506, 0127799508
ISSN
0076-5392
LCC
QA272 .Z48 1994
Open Library ID
OL1401517M
Language
english
Format
DJVU
Filesize
2 MB (2231675 bytes)
Series
Mathematics in Science and Engineering 193
Pages
iii-xvii, 1-404\424
Library
Kolxo3
DPI
300
Time added
2010-07-29 05:14:56

Description

This work is devoted to the investigation and solution of differential games with a vector-valued pay-off function. Slater-, Pareto- and Geoffrion-optimal strategies are defined for such a game, and their positive and negative properties are examined. A new class of solutions called vector-valued guarantees is proposed and their properties examined. According to the authors, this new approach is superior primarily because it has the properties of equivalence and interchangeability - antagonistic players should be able to achieve guaranteed results simultaneously. The approach is tested in a competition problem, as well as a pursuit game with noise. This book should be useful for students, postgraduates and specialists who are investigating the different fields of applied mathematics, control theory, economics and near-by directions of scientific knowledge.

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