We define Player-Compatible Equilibrium or “PCE,” which imposes cross-player restrictions on magnitudes of the players’ “trembles” onto different actions. These restrictions are inspired by the idea that trembles correspond to deliberate experiments by inexperienced agents who are unsure of the prevailing distribution of strategies in opponent populations. We show that PCE selects the “intuitiv...

In the present paper we will ask for the lattice L(MVEx) of subvarieties of the variety defined by the set Ex(MV) of all externally compatible identities valid in the variety MV of all MV-algebras. In particular, we will find all subdirectly irreducible algebras from the classes in the lattice L(MVEx) and give syntactical and semantical characterization of the class of algebras defined by P -co...