Possibilistic games with incomplete information

Bayesian games offer a suitable framework for cardinal games, where the utility degrees are additive in essence. This approach does nevertheless not apply to ordinal games, where the utility degrees do not capture more than a ranking, nor to situations of decision under qualitative uncertainty. The present paper proposes a model of (ordinal) games under possibilistic incomplete information (II-games). It extends two fundamental notions of game theory, namely the concepts of pure Nash equilibrium and secure strategy. It finally proposes a transformation that maps any Π-game to a classical normal form game equivalent in terms of Nash equilibrium