Before revision:  Finally , we prove that Pereyra's existence result for dynamic two-sided matching markets extends to a doubly-infinite time horizon .
After revision:  Finally , we prove that Pereyra's existence result for dynamic two-sided matching markets extends to a doubly infinite time horizon. Finally, beyond existence and characterization of solutions, in a revealed-preference setting we reprove Reny's infinite-data version of Afriat's theorem and (newly) prove an infinite-data version of McFadden and Richter's characterization of rationalizable stochastic datasets .