The complexity of interacting automata

Olivier Gossner; Penélope Hernández; Ron Peretz

doi:10.1007/s00182-015-0521-7

The complexity of interacting automata

Olivier Gossner, Penélope Hernández, Ron Peretz

Department of Economics

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

1 Scopus citations

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

Bibliographical note

Publisher Copyright:
© 2015, Springer-Verlag Berlin Heidelberg.

Funding

O. Gossner acknowledges financial support from Investissements d’Avenir (ANR-11-IDEX-0003/Labex Ecodec/ANR-11-LABX-0047). P. Hernández acknowledges financial support from the Spanish Economy and Competitiveness Ministry (ECO2013-46550-R) and Generalitat Valenciana (PROMETEOII/2014/054).

Funders	Funder number
Investissements d’avenir	ANR-11-IDEX-0003/Labex Ecodec/ANR-11-LABX-0047
Horizon 2020 Framework Programme	662725
Ministerio de Economía y Competitividad	ECO2013-46550-R
Generalitat Valenciana	PROMETEOII/2014/054

Keywords

Automata
Bounded memory
Complexity
De Bruijn sequences

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10.1007/s00182-015-0521-7

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The complexity of interacting automata

Abstract

Bibliographical note

Funding

Keywords

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