1 Introduction

Voorneveld and Norde (1997) proved a characterization of Ordinal Potential Games (OPG), a class of games that was introduced by Monderer and Shapley (1996). Aim of this short note is to recast the result of Voorneveld and Norde (1997) in a purely ordinal setting. It is our opinion that, in this way, their result is somehow clarified. Actually, their result can be decomposed into two parts: one is the characterization of ordinal games with a potential and the second achieves a representation by a potential, understood as a real valued function. It is only in this second step that the condition of being "properly ordered", used by Voorneveld ~md Norde (1997), is needed. But this condition has nothing to do with (potential) games, if we look at them from the point of view of pref?rences. Therefore, we focus in this paper entirely on the first part, taking this point of view as a starting point.