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In the previous chapterComputation of equilibria conditions were given for the existence of equilibria in N-person games. The Nikaido-Isoda theoremNikaido-Isoda theorem was based on the Kakutani fixed point theoremKakutani fixed point theorem, which guarantees the existence of at least one fixed point without providing computational method for finding the fixed points. In this chapter a general method will be introduced and applied to some special game classes.

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Computation of Equilibria

  • 章节

  • 发表日期：

    2025年

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  • Akio Matsumoto,
  • Ferenc Szidarovszky

摘要

In the previous chapterComputation of equilibria conditions were given for the existence of equilibria in N-person games. The Nikaido-Isoda theoremNikaido-Isoda theorem was based on the Kakutani fixed point theoremKakutani fixed point theorem, which guarantees the existence of at least one fixed point without providing computational method for finding the fixed points. In this chapter a general method will be introduced and applied to some special game classes.