Sequential Games with Finite Horizon and Turn Selection Process - Finite Strategy Sets Case

A class of models of sequential games is proposed where the turns of decision are random for all players. The models presented show different variations in this class of games. In spite of the random nature of the turn selection process, first the number of turns per player is fixed, and afterwards models without this property are considered, as well as some that allow changes in other components. For all the models, a series of results are obtained to guarantee the existence of Nash equilibria. A possible application is shown for drafting athletes in