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Recursive Equilibrium in Stochastic Overlapping-Generations Economies

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  • Alessandro Citanna
  • Paolo Siconolfi

Abstract

We prove the generic existence of a recursive equilibrium for overlapping-generations economies with uncertainty. "Generic" here means in a residual set of utilities and endowments. The result holds provided there is a sufficient number of potentially different individuals within each cohort. Copyright 2010 The Econometric Society.

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  • Alessandro Citanna & Paolo Siconolfi, 2010. "Recursive Equilibrium in Stochastic Overlapping-Generations Economies," Econometrica, Econometric Society, vol. 78(1), pages 309-347, January.
    • Handle: RePEc:ecm:emetrp:v:78:y:2010:i:1:p:309-347
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    Cited by:

    1. Fabrizio Orrego & Stephen Spear, "undated". "Sequential incompleteness and dynamic suboptimality in stochastic OLG economies with production," GSIA Working Papers 2012-E38, Carnegie Mellon University, Tepper School of Business.
    2. Zhigang Feng & Matthew Hoelle, 2017. "Indeterminacy in stochastic overlapping generations models: real effects in the long run," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(2), pages 559-585, February.
    3. Henriksen, Espen & Spear, Stephen, 2012. "Endogenous market incompleteness without market frictions: Dynamic suboptimality of competitive equilibrium in multiperiod overlapping generations economies," Journal of Economic Theory, Elsevier, vol. 147(2), pages 426-449.
    4. Rodrigo Raad, 2016. "Recursive equilibrium with Price Perfect Foresight and a minimal state space," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(1), pages 1-54, January.
    5. Wozny Lukasz & Growiec Jakub, 2012. "Intergenerational Interactions in Human Capital Accumulation," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 12(1), pages 1-47, June.
    6. Orrego, Fabrizio, 2011. "Sequential incompleteness and dynamic suboptimality in stochastic OLG economies with production," Working Papers 2011-014, Banco Central de Reserva del Perú.
    7. Balbus, Łukasz & Reffett, Kevin & Woźny, Łukasz, 2012. "Stationary Markovian equilibrium in altruistic stochastic OLG models with limited commitment," Journal of Mathematical Economics, Elsevier, vol. 48(2), pages 115-132.
    8. Kubler, Felix & Scheidegger, Simon, 2023. "Uniformly self-justified equilibria," Journal of Economic Theory, Elsevier, vol. 212(C).
    9. Kaas, Leo, 2023. "Block-recursive equilibria in heterogeneous-agent models," Journal of Economic Theory, Elsevier, vol. 212(C).
    10. Chattopadhyay, Subir, 2018. "The unit root property and optimality with a continuum of states—Pure exchange," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 105-118.

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