The complexity of interacting automata

Olivier Gossner; Penélope Hernández; Ron Peretz

doi:https://doi.org/10.1007/s00182-015-0521-7

The complexity of interacting automata

Olivier Gossner, Penélope Hernández, Ron Peretz

Department of Economics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

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 (Formula presented.). We investigate implications of these results on the correlated min–max value of repeated games played by automata.

Original language	English
Pages (from-to)	461-496
Number of pages	36
Journal	International Journal of Game Theory
Volume	45
Issue number	1-2
DOIs	https://doi.org/10.1007/s00182-015-0521-7
State	Published - 1 Mar 2016

Keywords

Automata
Bounded memory
Complexity
De Bruijn sequences

All Science Journal Classification (ASJC) codes

Statistics and Probability
Mathematics (miscellaneous)
Social Sciences (miscellaneous)
Economics and Econometrics
Statistics, Probability and Uncertainty

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Cite this

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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 (Formula presented.). We investigate implications of these results on the correlated min–max value of repeated games played by automata.",

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AB - 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 (Formula presented.). We investigate implications of these results on the correlated min–max value of repeated games played by automata.

KW - Automata

KW - Bounded memory

KW - Complexity

KW - De Bruijn sequences

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JF - International Journal of Game Theory

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The complexity of interacting automata

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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