A particular group of models of sequential games is studied where the order of the turns is not known beforehand by the players, and where the utility functions for each player are fuzzy numbers. For these models, a series of results are proven to show the existence of equilibria under two criteria, and a brief application is described where it usually is not possible to give utilities a precise value, hence, where fuzzy numbers are adequate.
fuzzy numbers, sequential game, risk sensitive, turn selection process, fuzzy utility functions
91A06, 91A10, 91A18, 91A50