Replica Core Equivalence Theorem: An Extension of Debreu-Scarf Limit Theorem to Double Infinity Monetary Economies

An overlapping generations model with the double infinity of commodities and agents is the most fundamental framework to introduce outside money into a static economic model. In this model, competitive equilibria may not necessarily be Pareto-optimal. Although Samuelson (1958) emphasized the role of fiat money as a certain kind of social contract, we cannot characterize it as a cooperative game-theoretic solution like a core. In this paper, we obtained a finite replica core characterization of monetary equilibria. Preferences are not necessarily assumed to be ordered.