IDEAS home Printed from https://ideas.repec.org/p/cwl/cwldpp/1262.html

A Stochastic Overlapping Generations Economy with Inheritance

Author

Listed:

Abstract

An overlapping generations model of an exchange economy is considered, with individuals having a finite expected life-span. Conditions concerning birth, death, inheritance and bequests are fully specified. Under such conditions, the existence of stationary Markov equilibrium is established in some generality, and several explicitly solvable examples are treated in detail.

Suggested Citation

  • Ioannis Karatzas & Martin Shubik & William D. Sudderth, 2000. "A Stochastic Overlapping Generations Economy with Inheritance," Cowles Foundation Discussion Papers 1262, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:1262
    Note: CFP 1049. Length 26 pages
    as

    Download full text from publisher

    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d12/d1262.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Shubik, Martin, 1981. "Society, land, love or money : A strategic model of how to glue the generations together," Journal of Economic Behavior & Organization, Elsevier, vol. 2(4), pages 359-385, December.
    2. 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.
    3. Modigliani, Franco, 1986. "Life Cycle, Individual Thrift, and the Wealth of Nations," American Economic Review, American Economic Association, vol. 76(3), pages 297-313, June.
    4. Ioannis Karatzas & Martin Shubik & William D. Sudderth, 1994. "Construction of Stationary Markov Equilibria in a Strategic Market Game," Mathematics of Operations Research, INFORMS, vol. 19(4), pages 975-1006, November.
    5. Karatzas, Ioannis & Shubik, Martin & Sudderth, William D., 1997. "A strategic market game with secured lending," Journal of Mathematical Economics, Elsevier, vol. 28(2), pages 207-247, September.
    6. Feldman, Mark & Gilles, Christian, 1985. "An expository note on individual risk without aggregate uncertainty," Journal of Economic Theory, Elsevier, vol. 35(1), pages 26-32, February.
    7. Geanakoplos, J. & Karatzas, I. & Shubik, M. & Sudderth, W., 2000. "A strategic market game with active bankruptcy," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 359-396, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Geanakoplos, John & Karatzas, Ioannis & Shubik, Martin & Sudderth, William D., 2014. "Inflationary equilibrium in a stochastic economy with independent agents," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 1-11.
    2. Ioannis Karatzas & Martin Shubik & William D. Sudderth, 2000. "Information and the Existence of Stationary Markovian Equilibrium," Cowles Foundation Discussion Papers 1261, Cowles Foundation for Research in Economics, Yale University.
    3. Geanakoplos, J. & Karatzas, I. & Shubik, M. & Sudderth, W., 2000. "A strategic market game with active bankruptcy," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 359-396, November.
    4. Andrew Lyasoff, 2023. "The Time-Interlaced Self-Consistent Master System of Heterogeneous-Agent Models," Papers 2303.12567, arXiv.org, revised May 2025.
    5. Verbic, Miroslav, 2007. "Modelling the pension system in an overlapping-generations general equilibrium modelling framework," MPRA Paper 10350, University Library of Munich, Germany.
    6. Florin Bilbiie & Xavier Ragot, 2021. "Optimal Monetary Policy and Liquidity with Heterogeneous Households," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 41, pages 71-95, July.
    7. Juergen Huber & Martin Shubik & Shyam Sunder, 2011. "Financing of Public Goods through Taxation in a General Equilibrium Economy: Theory and Experimental Evidence," Cowles Foundation Discussion Papers 1830, Cowles Foundation for Research in Economics, Yale University.
    8. Hostenkamp, Gisela & Stolpe, Michael, 2008. "Optimal health and retirement policies amid population aging," Kiel Working Papers 1428, Kiel Institute for the World Economy.
    9. repec:spo:wpmain:info:hdl:2441/j7nncuouv9a0af4mubojrr2vc is not listed on IDEAS
    10. Eladio Febrero & Maria-Angeles Cadarso, 2006. "Pay-As-You-Go versus funded systems. Some critical considerations," Review of Political Economy, Taylor & Francis Journals, vol. 18(3), pages 335-357.
    11. Jacques Le Cacheux & Vincent Touzé, 2002. "Les modèles d'équilibre général calculable à générations imbriquées. Enjeux, méthodes et résultats," Revue de l'OFCE, Presses de Sciences-Po, vol. 80(1), pages 87-113.
    12. Xavier Ragot, 2018. "Limited Participation, Capital Accumulation and Optimal Monetary Policy," Working Papers hal-03444395, HAL.
    13. Karatzas, Ioannis & Shubik, Martin & Sudderth, William D., 1997. "A strategic market game with secured lending," Journal of Mathematical Economics, Elsevier, vol. 28(2), pages 207-247, September.
    14. Huber, Juergen & Shubik, Martin & Sunder, Shyam, 2018. "Financing of public goods through taxation in a general equilibrium economy: Experimental evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 148(C), pages 171-188.
    15. Beviá, Carmen & Corchón, Luis C. & Yasuda, Yosuke, 2024. "Folk theorem under bankruptcy," Journal of Mathematical Economics, Elsevier, vol. 112(C).
    16. Halket, Jonathan R, 2012. "Existence of an equilibrium in incomplete markets with discrete choices and many markets," Economics Discussion Papers 2875, University of Essex, Department of Economics.
    17. repec:spo:wpecon:info:hdl:2441/j75mfllkr89c8aod1nr586ksc is not listed on IDEAS
    18. repec:spo:wpecon:info:hdl:2441/2087 is not listed on IDEAS
    19. repec:spo:wpmain:info:hdl:2441/j75mfllkr89c8aod1nr586ksc is not listed on IDEAS
    20. Equipe INGENUE, 2001. "Macroeconomic consequences of pension reforms in Europe: an investigation with the INGENUE world model," CEPREMAP Working Papers (Couverture Orange) 0116, CEPREMAP.
    21. Jacques Le Cacheux & Vincent Touzé, 2003. "Vieillissement et richesse des nations," Revue de l'OFCE, Presses de Sciences-Po, vol. 84(1), pages 47-91.
    22. 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.
    23. Pradeep Dubey & John Geanakoplos, 2000. "Inside and Outside Money, Gains to Trade, and IS-LM," Cowles Foundation Discussion Papers 1257R, Cowles Foundation for Research in Economics, Yale University, revised Jun 2001.
    24. repec:spo:wpecon:info:hdl:2441/j7nncuouv9a0af4mubojrr2vc is not listed on IDEAS
    25. Xavier Ragot & Florin O. Bilbiie, 2016. "Monetary Policy, Inflation, and Inequality: The Case for Helicopters," 2016 Meeting Papers 1663, Society for Economic Dynamics.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cwl:cwldpp:1262. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Brittany Ladd (email available below). General contact details of provider: https://edirc.repec.org/data/cowleus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.