The vector-valued maximin
著者
書誌事項
The vector-valued maximin
（Mathematics in science and engineering : a series of monographs and textbooks, v. 193）
Academic Press, c1994
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注記
Includes bibliographical references and indexes
内容説明・目次
内容説明
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.
目次
- Quasimotions and their properties
- Slater optimality
- Pareto optimality
- Geoffrion optimality
- vector saddle points
- vector-valued guarantees
- competition problem
- a pursuit game with noise. Appendices: some notions of topology
- multivalued mappings semicontinuous above
- additional propositions from theory of multicultural problems
- vector-valued maximins in "static" problems.
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