Coordination through De Bruijn sequences

Olivier Gossner (1) , Penelope Hernandez (2)

1 PJSE - Paris-Jourdan Sciences Economiques
2 Departmento Fundamentos del Análisis Económico

Let (xt) be an n-periodic sequence in which the first n elements are drawn i.i.d. according to some rational distribution. We prove there exists a constant C such that whenever mlnm⩾Cn, with probability close to 1, there exists an automaton of size m that matches the sequence at almost all stages.

Keywords: Coordination; Complexity; De Bruijn sequences; Automata

Domains: Economics and Finance

Olivier Gossner, Penelope Hernandez. Coordination through De Bruijn sequences. Operations Research Letters, 2006, 34 (1), pp.17-21. ⟨10.1016/j.orl.2005.01.006⟩. ⟨halshs-00754177⟩