Nonconvex Optimization and Its Applications

Minimax and Applications

Editors: Ding-Zhu Du, Pardalos, Panos (Eds.)

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About this book

Techniques and principles of minimax theory play a key role in many areas of research, including game theory, optimization, and computational complexity. In general, a minimax problem can be formulated as min max f(x, y) (1) ",EX !lEY where f(x, y) is a function defined on the product of X and Y spaces. There are two basic issues regarding minimax problems: The first issue concerns the establishment of sufficient and necessary conditions for equality minmaxf(x,y) = maxminf(x,y). (2) "'EX !lEY !lEY "'EX The classical minimax theorem of von Neumann is a result of this type. Duality theory in linear and convex quadratic programming interprets minimax theory in a different way. The second issue concerns the establishment of sufficient and necessary conditions for values of the variables x and y that achieve the global minimax function value f(x*, y*) = minmaxf(x, y). (3) "'EX !lEY There are two developments in minimax theory that we would like to mention.

Reviews

` ... a valuable book carefully written in a clear and concise fashion. The survey papers give coherent and inspiring accounts ... coverage of algorithmic and applied topics ... is impressive. Both graduate students and researchers in fields such as optimization, computer science, production management, operations research and related areas will find this book to be an excellent source for learning about both classic and more recent developments in minimax and its applications. The editors are to be commended for their work in gathering these papers together.'
Journal of Global Optimization, 11 (1997)

Table of contents (18 chapters)

Table of contents (18 chapters)

Buy this book

eBook $119.00
price for USA in USD
  • ISBN 978-1-4613-3557-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $249.99
price for USA in USD
  • ISBN 978-0-7923-3615-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $159.99
price for USA in USD
  • ISBN 978-1-4613-3559-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Minimax and Applications
Editors
  • Ding-Zhu Du
  • Panos Pardalos
Series Title
Nonconvex Optimization and Its Applications
Series Volume
4
Copyright
1995
Publisher
Springer US
Copyright Holder
Kluwer Academic Publisher
eBook ISBN
978-1-4613-3557-3
DOI
10.1007/978-1-4613-3557-3
Hardcover ISBN
978-0-7923-3615-0
Softcover ISBN
978-1-4613-3559-7
Series ISSN
1571-568X
Edition Number
1
Number of Pages
XIV, 296
Topics