Fractal Geometry of Equilibrium Payoffs in Discounted Supergames

Kimmo Berg, Mitri Kitti

Research output: Contribution to journalArticleScientificpeer-review

7 Citations (Scopus)

Abstract

This paper examines the pure-strategy subgame-perfect equilibrium payoffs in discounted supergames with perfect monitoring. It is shown that the equilibrium payoffs can be identified as sub-self-affine sets or graph-directed iterated function systems. We propose a method to estimate the Hausdorff dimension of the equilibrium payoffs and relate it to the equilibrium paths and their graph presentation.
Original languageEnglish
Pages (from-to)1450016
JournalFRACTALS: COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
Volume22
Issue number4
DOIs
Publication statusPublished - 2014
MoE publication typeA1 Journal article-refereed

Keywords

  • Repeated Game
  • Subgame-Perfect Equilibrium
  • Payoff Set
  • Fractal
  • Sub-Self-Affine Set
  • Hausdorff Dimension

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