Efficient Nash equilibria on semilattices

This contribution introduces the so‐called quasi‐Leontief functions. In the framework and the language of tropical algebras, our quasi‐Leontief functions are the additive functions defined on a semimodule with values in the semiring of scalars. This class of functions encompasses as a special case the usual Leontief utility function. We establish the existence of efficient Nash equilibria when the strategy spaces are compact and pathconnected topological semilattices.