A variational approach to the φ-Kantian equilibrium and the Walras-Kant model

This paper proves the existence of the φ-Kantian equilibrium, a general framework for cooperative economic behavior, under weak topological assumptions. Our proof strategy follows a variational approach: we formulate the problem as a Generalized Quasi-Variational Inequality (GQVI) and prove that a solution exists. As a key application, we use this general result to establish the existence of the Walras-Kant equilibrium, a model that integrates competitive market behavior for private goods with Kantian cooperation for public goods.