Vector-Valued Optimization in Multi-Player Quantitative Games

  • A. Blaquiere
Part of the International Centre for Mechanical Sciences book series (CISM, volume 211)


First, let us define a N-player quantitative game as in Ref. (1).


Directional Preference Infinite Sequence Normed Linear Space Empty Subset Opponent Player 


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  1. 1.
    Blaquière, A., Quantitative Games: Problem Statement and Examples, New Geometric Aspects in The Theory and Application of Differential Games, edited by J.D. Grote, D. Reidel Publishing Company, 1975Google Scholar
  2. 2.
    Athans, M., and Geering, H.P., Necessary and Sufficient Conditions for Differentuable Nonscalar-Valued Functions to Attain Extrema, IEEE Transactions on Automatic Control, Vol.AC-18, N°2, April 1973.Google Scholar

Copyright information

© Springer-Verlag Wien 1975

Authors and Affiliations

  • A. Blaquiere
    • 1
  1. 1.Laboratoire d’Automatique ThéoriqueUniversité de Paris 7ParisFrance

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