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Stationary Markov equilibria for overlapping generations
Authors:Felix?Kubler  author-information"  >  author-information__contact u-icon-before"  >  mailto:fkubler@stanford.edu"   title="  fkubler@stanford.edu"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Herakles?Polemarchakis
Affiliation:(1) Department of Economics, Stanford University, CA 94305-6072 Stanford, USA;(2) Department of Economics, Brown University, RI 02912 Providence, USA
Abstract: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.Received: 2 March 2004, Revised: 2 April 2004, JEL Classification Numbers:  D50, D52, D60, D80, D90.Correspondence to: Felix KublerWe thank participants in seminars in Athens and Lund, at Penn, at IMPA and at Stanford, the 2002 CEME (NBER) General Equilibrium Conference and the 2002 SED meetings, and especially Martin Hellwig, George Mailath and an anonymous referee for very helpful comments.
Keywords:  KeywordHeading"  > and Phrases: Stationary Markov equilibria    Equ3"  >  /content/844pt56vv3de0bxg/199_2004_Article_523_TeX2GIFEqu3.gif"   alt="  $ epsilon $"   align="  middle"   border="  0"  >-equilibria.
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