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Chaotic dynamics in an overlapping generations model with myopic and adaptive expectations

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  • Chen, Hung-Ju
  • Li, Ming-Chia
  • Lin, Yung-Ju

Abstract

In this paper, we study dynamic behavior of an overlapping generations model under three different expectations: perfect foresight, myopic expectations and adaptive expectations. We show that economic transition under myopic or adaptive expectations is very different from that under perfect foresight. When agents are perfectly foresighted, dynamics is simple, with a unique steady state that is globally attracting. However, cycles and chaotic motion can appear under myopic and adaptive expectations. We study the possibility of Li-Yorke chaos under myopic expectations and entropic chaos under adaptive expectations.

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  • Chen, Hung-Ju & Li, Ming-Chia & Lin, Yung-Ju, 2008. "Chaotic dynamics in an overlapping generations model with myopic and adaptive expectations," Journal of Economic Behavior & Organization, Elsevier, vol. 67(1), pages 48-56, July.
    • Handle: RePEc:eee:jeborg:v:67:y:2008:i:1:p:48-56
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    2. Fanti, Luciano & Gori, Luca, 2011. "Public health spending, old-age productivity and economic growth: Chaotic cycles under perfect foresight," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1-2), pages 137-151, April.
    3. Boone, Brecht & Quaghebeur, Ewoud, 2018. "Beyond rational expectations: The effects of heuristic switching in an Overlapping Generations model," Journal of Economic Behavior & Organization, Elsevier, vol. 155(C), pages 349-364.
    4. Luciano Fanti & Luca Gori, 2013. "Fertility-related pensions and cyclical instability," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(3), pages 1209-1232, July.
    5. Gomes, Orlando, 2013. "Information stickiness on general equilibrium and endogenous cycles," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 7, pages 1-43.
    6. Luciano Fanti & Luca Gori & Cristiana Mammana & Elisabetta Michetti, 2018. "A model of growth with inherited tastes," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 163-186, November.
    7. Luciano, Fanti & Luca, Gori & Cristiana, Mammana & Elisabetta, Michetti, 2016. "Complex dynamics in an OLG model of growth with inherited tastes," MPRA Paper 69906, University Library of Munich, Germany.
    8. Cavalli, F. & Chen, H.-J. & Li, M.-C. & Naimzada, A. & Pecora, N., 2023. "Heterogeneous expectations and equilibria selection in an evolutionary overlapping generations model," Journal of Mathematical Economics, Elsevier, vol. 104(C).
    9. Luciano Fanti & Luca Gori, 2012. "Public Expenditure on Health and Private Old-Age Insurance in an OLG Growth Model with Endogenous Fertility: Chaotic Dynamics Under Perfect Foresight," Computational Economics, Springer;Society for Computational Economics, vol. 40(4), pages 333-353, December.
    10. Umezuki, Yosuke & Yokoo, Masanori, 2019. "A simple model of growth cycles with technology choice," Journal of Economic Dynamics and Control, Elsevier, vol. 100(C), pages 164-175.
    11. Gerunov, Anton, 2014. "Критичен Преглед На Основните Подходи За Моделиране На Икономическите Очаквания [A Critical Review of Major Approaches for Modeling Economic Expectations]," MPRA Paper 68797, University Library of Munich, Germany.
    12. Luciano Fanti & Luca Gori, 2012. "PAYG Pensions and Economic Cycles," Public Finance Review, , vol. 40(2), pages 240-269, March.
    13. Fanti, Luciano & Gori, Luca, 2010. "Complex equilibrium dynamics in a simple OLG model of neoclassical growth with endogenous retirement age and public pensions," MPRA Paper 23694, University Library of Munich, Germany.

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