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The complexity of interacting automata

Author

Listed:
  • Olivier Gossner

    (École Polytechnique, CNRS
    London School of Economics)

  • Penélope Hernández

    (University of Valencia)

  • Ron Peretz

    (Bar Ilan University)

Abstract

This paper studies the interaction of automata of size m. We characterise statistical properties satisfied by random plays generated by a correlated pair of automata with m states each. We show that in some respect the pair of automata can be identified with a more complex automaton of size comparable to $$m\log m$$ m log m . We investigate implications of these results on the correlated min–max value of repeated games played by automata.

Suggested Citation

  • Olivier Gossner & Penélope Hernández & Ron Peretz, 2016. "The complexity of interacting automata," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(1), pages 461-496, March.
    • Handle: RePEc:spr:jogath:v:45:y:2016:i:1:d:10.1007_s00182-015-0521-7
    DOI: 10.1007/s00182-015-0521-7
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    References listed on IDEAS

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