Mixability and the Existence of Weak Complexities

  • Yuri Kalnishkan
  • Michael V. Vyugin
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2375)

Abstract

This paper investigates the behaviour of the constant c(β) from the Aggregating Algorithm. Some conditions for mixability are derived and it is shown that for many non-mixable games c(β) still converges to 1. The condition c(β) → 1 is shown to imply the existence of weak predictive complexity and it is proved that many games specify complexity up to √n.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Yuri Kalnishkan
    • 1
  • Michael V. Vyugin
    • 1
  1. 1.Department of Computer Science, Royal HollowayUniversity of LondonEghamUK

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