Equilibrium analysis in Kantorovich spaces

The paper presents a survey of new results in general equilibrium theory with linear vector lattice commodity space (Kantorovich space). The importance of order structures and the Riesz–Kantorovich formula is clarified. The main novelty of the paper is new characterizations of fuzzy core elements in an exchange economy. Then these characterizations are applied to prove a new quasi-equilibrium existence theorem for linear vector lattice economy. This theorem, based on E-properness of preferences by Podczeck–Florenzano–Marakulin, develops the Florenzano–Marakulin approach and generalizes previous Tourky's results.