Strategical languages of infinite words

: We deal in this paper with strategical languages of infinite words, that is those generated by a nondeterministic strategy in the sense of game theory. We first show the existence of a minimal strategy for such languages, for which we give an explicit expression. Then we characterize the family of strategical languages as that of closed ones, in the topological space of infinite words. Finally, we give a definition of a Nash equilibrium for such languages, that we illustrate with a famous example.

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: Mustapha Arfi, Bedine Ould M. Lemine, Carla Selmi
• Keywords: CORR 2010, Education, Infinite Words, Nondeterministic Strategy, Strategical Languages