<p>This paper proves the existence of the <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\varphi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>φ</mi> </math></EquationSource> </InlineEquation>-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.</p>

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A variational approach to the \(\varphi \)-Kantian equilibrium and the Walras-Kant model

  • Mario Diego Emanuele Giordano,
  • Monica Milasi

摘要

This paper proves the existence of the \(\varphi \) 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.