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A family production overlapping generations economy

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  • Cellarier, Laurent L.

Abstract

This paper provides a theoretical analysis of an overlapping generations economy in which production decisions and input–output allocations are all carried out at the family level. I consider a single class of output allocation schemes and various degrees of knowledge about the production technology. Under complete knowledge, I show that a family organizational structure in which everyone receives his marginal contribution to output, invests less in physical capital than under a perfectly competitive equilibrium environment. Under incomplete knowledge, I analyze and compare how beliefs about the input–output relationship affect the physical capital accumulation dynamics and the long-run standards of living.

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  • Cellarier, Laurent L., 2013. "A family production overlapping generations economy," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2168-2179.
    • Handle: RePEc:eee:dyncon:v:37:y:2013:i:11:p:2168-2179
    DOI: 10.1016/j.jedc.2013.05.009
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    1. Greenwood, Jeremy & Hercowitz, Zvi, 1991. "The Allocation of Capital and Time over the Business Cycle," Journal of Political Economy, University of Chicago Press, vol. 99(6), pages 1188-1214, December.
    2. Galor, Oded & Ryder, Harl E., 1989. "Existence, uniqueness, and stability of equilibrium in an overlapping-generations model with productive capital," Journal of Economic Theory, Elsevier, vol. 49(2), pages 360-375, December.
    3. Ed Nosal & Richard Rogerson & Randall Wright, 1992. "The Role of Household Production in Models of Involuntary Unemployment and Underemployment," Canadian Journal of Economics, Canadian Economics Association, vol. 25(3), pages 507-520, August.
    4. Shell, Karl, 1971. "Notes on the Economics of Infinity," Journal of Political Economy, University of Chicago Press, vol. 79(5), pages 1002-1011, Sept.-Oct.
    5. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66(6), pages 467-467.
    6. Gronau, Reuben, 1977. "Leisure, Home Production, and Work-The Theory of the Allocation of Time Revisited," Journal of Political Economy, University of Chicago Press, vol. 85(6), pages 1099-1123, December.
    7. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    8. Van Zandt, Timothy & Lettau, Martin, 2003. "Robustness Of Adaptive Expectations As An Equilibrium Selection Device," Macroeconomic Dynamics, Cambridge University Press, vol. 7(1), pages 89-118, February.
    9. Böhm, Volker & Wenzelburger, Jan, 1999. "Expectations, Forecasting, And Perfect Foresight," Macroeconomic Dynamics, Cambridge University Press, vol. 3(2), pages 167-186, June.
    10. Francesco Caselli & Nicola Gennaioli, 2013. "Dynastic Management," Economic Inquiry, Western Economic Association International, vol. 51(1), pages 971-996, January.
    11. Fisher, Jonas D. M., 1997. "Relative prices, complementarities and comovement among components of aggregate expenditures," Journal of Monetary Economics, Elsevier, vol. 39(3), pages 449-474, August.
    12. Laurence J. Kotlikoff & Robert W. Rosenthal, 1993. "Some Inefficiency Implications Of Generational Politics And Exchange," Economics and Politics, Wiley Blackwell, vol. 5(1), pages 27-42, March.
    13. Jean-Michel Grandmont, 1998. "Expectations Formation and Stability of Large Socioeconomic Systems," Econometrica, Econometric Society, vol. 66(4), pages 741-782, July.
    14. Bullard James, 1994. "Learning Equilibria," Journal of Economic Theory, Elsevier, vol. 64(2), pages 468-485, December.
    15. Tuinstra, Jan, 2003. "Beliefs equilibria in an overlapping generations model," Journal of Economic Behavior & Organization, Elsevier, vol. 50(2), pages 145-164, February.
    16. Grandmont, Jean-Michel & Laroque, Guy, 1986. "Stability of cycles and expectations," Journal of Economic Theory, Elsevier, vol. 40(1), pages 138-151, October.
    17. Herbert Dawid, 2005. "Long horizon versus short horizon planning in dynamic optimization problems with incomplete information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(3), pages 575-597, April.
    18. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, December.
    19. Barnett,William A. & Cornet,Bernard & D'Aspremont,Claude & Gabszewicz,Jean & Mas-Colell,Andreu (ed.), 1991. "Equilibrium Theory and Applications," Cambridge Books, Cambridge University Press, number 9780521392198.
    20. Benassy, Jean-Pascal & Blad, Michael C., 1989. "On learning and rational expectations in an overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 13(3), pages 379-400, July.
    21. Rios-Rull, Jose-Victor, 1993. "Working in the Market, Working at Home, and the Acquisition of Skills: A General-Equilibrium Approach," American Economic Review, American Economic Association, vol. 83(4), pages 893-907, September.
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    Cited by:

    1. Cellarier, Laurent L., 2021. "Is landownership a ladder out of poverty?," World Development, Elsevier, vol. 146(C).

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    More about this item

    Keywords

    Overlapping generations; Family production; Expectation function;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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