Modelli di equilibrio economico generale e beni infiniti: una rassegna

In the last thirty years the literature on general equilibrium has focused on the existence of a competitive equilibrium in an infinite dimensional setting. The canonical models take into consideration commodities which may differ in the location or time at which they are consumed or the state of the world in which they became available. Peleg, Yaari and Bewley were the first to solve the existence problem in different spaces and using different methods. The analysis was later generalised in many directions, till Aliprantis and Brown recognised most of spaces employed were Riesz spaces and so they introduced lattice methods in economic literature. Thanks to these results, Mas-Colell and Richard were able to free the demonstration by specific space assumptions, elaborating an abstract unifying framework. In the survey, we focus on exchange economies summarising the mathematical structures and the basic economic issues of the literature.