Stationary Markov equilibria for overlapping generations

Summary.

At a stationary Markov equilibrium of a Markovian economy of overlapping generations, prices at a date-event are determined by the realization of the shock, the distribution of wealth and, with production, the stock of capital. Stationary Markov equilibria may not exist; this is the case with intra-generational heterogeneity and multiple commodities or long life spans. Generalized Markov equilibria exist if prices are allowed to vary also with the realization of the shock, prices and the allocation of consumption and production at the predecessor date-event. (Stationary) Markov $\epsilon$-equilibria always exist; as $\epsilon \rightarrow 0,$ allocations and prices converge to equilibrium prices and allocations that, however, need not be stationary.