Economic and Game Theory
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1. Is there a general characterization of games having a generalized ordinal potential?
Potential games were characterized by Monderer/Shapley, GEB 1996. Ordinal potential games by Voornefeld/Norde, GEB 1997. But how about generalized ordinal potential games?
2. Is there a general characterization of supermodular and submodular games having a generalized ordinal potential?
There is a recent paper on supermodular games and potential games by Branzei/Mallozzi/Tijs, mimeo 2001, but it doesn't get very far.
3. Is there a general characterization of n-firm Cournot oligopoly that has a generalized ordinal potential?
I know of examples of Cournot oligopoly games that have and exact (Slade, JIO 94) and ordinal potential (Monderer/Shapley, GEB 96), (see also above paper by Brazei/Mallozzi/Tijs, mimeo, 2001). But how about a general characterization and generalized ordinal potentials?
Burkhard C. Schipper