IDEAS home Printed from https://ideas.repec.org/p/ums/papers/2019-04.html
   My bibliography  Save this paper

Sraffian Indeterminacy in General Equilibrium Revisited

Author

Listed:
  • Naoki Yoshihara

    (Department of Economics, University of Massachusetts Amherst)

  • Se Ho Kwak

    (Department of Economics, University of Massachusetts Amherst)

Abstract

In contrast to Mandler’s (1999a; Theorem 6) impossibility result about the Sraffian indeterminacy of the steady-state equilibrium, we first show that any regular Sraffian steady-state equilibrium is indeterminate in terms of Sraffa (1960) under the simple overlapping generation economy. Moreover, we also check that this indeterminacy is generic. These results are obtained by explicitly defining a simple model of overlapping gener- ation economies with Leontief production techniques, in which we also explain the main source of the difference between our results and Mandler (1999a; section 6).

Suggested Citation

  • Naoki Yoshihara & Se Ho Kwak, 2019. "Sraffian Indeterminacy in General Equilibrium Revisited," UMASS Amherst Economics Working Papers 2019-04, University of Massachusetts Amherst, Department of Economics.
    • Handle: RePEc:ums:papers:2019-04
    as

    Download full text from publisher

    File URL: http://www.umass.edu/economics/publications/2019-04.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jess Benhabib & Kazuo Nishimura, 2012. "Indeterminacy and Sunspots with Constant Returns," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 311-346, Springer.
    2. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
    3. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-392, May.
    4. Rose-Anne Dana & Cuong Le Van & Tapan Mitra & Kazuo Nishimura, 2006. "Handbook on optimal growth (volume 1)," Post-Print halshs-00101345, HAL.
    5. Kehoe, Timothy J, 1980. "An Index Theorem for General Equilibrium Models with Production," Econometrica, Econometric Society, vol. 48(5), pages 1211-1232, July.
    6. Kehoe, Timothy J. & Levine, David K., 1990. "The economics of indeterminacy in overlapping generations models," Journal of Public Economics, Elsevier, vol. 42(2), pages 219-243, July.
    7. Kazuo Nishimura & Koji Shimomura, 2012. "Trade and Indeterminacy in a Dynamic General Equilibrium Model," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 347-361, Springer.
    8. Mandler, Michael, 1997. "Sequential regularity in smooth production economies," Journal of Mathematical Economics, Elsevier, vol. 27(4), pages 487-504, May.
    9. Kehoe, Timothy J., 1982. "Regular production economies," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 147-176, September.
    10. Mas-Colell, Andreu, 1975. "On the continuity of equilibrium prices in constant-returns production economies," Journal of Mathematical Economics, Elsevier, vol. 2(1), pages 21-33, March.
    11. Balasko, Yves & Cass, David, 1989. "The Structure of Financial Equilibrium with Exogenous Yields: The Case of Incomplete Markets," Econometrica, Econometric Society, vol. 57(1), pages 135-162, January.
    12. Michael Mandler, 2002. "Classical and Neoclassical Indeterminacy in One-shot Versus Ongoing Equilibria," Metroeconomica, Wiley Blackwell, vol. 53(3), pages 203-222, August.
    13. Rose-Anne Dana & Cuong Le Van & Tapan Mitra & Kazuo Nishimura (ed.), 2006. "Handbook on Optimal Growth 1," Springer Books, Springer, number 978-3-540-32310-5, December.
    14. Michael Mandler, 1999. "Sraffian Indeterminacy in General Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 693-711.
    15. Fabio Petri, 2004. "General Equilibrium, Capital and Macroeconomics," Books, Edward Elgar Publishing, number 3438.
    16. Kazuo Nishimura & Koji Shimomura, 2006. "Indeterminacy in a dynamic two-country model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(2), pages 307-324, October.
    17. Mandler Michael, 1995. "Sequential Indeterminacy in Production Economies," Journal of Economic Theory, Elsevier, vol. 66(2), pages 406-436, August.
    18. Calvo, Guillermo A., 1978. "On the indeterminacy of interest rates and wages with perfect foresight," Journal of Economic Theory, Elsevier, vol. 19(2), pages 321-337, December.
    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. Naoki Yoshihara & Se Ho Kwak, 2024. "Sraffian indeterminacy of steady‐state equilibria in the Walrasian general equilibrium framework," Metroeconomica, Wiley Blackwell, vol. 75(3), pages 377-395, July.
    2. Eric Bond & Kazumichi Iwasa & Kazuo Nishimura, 2011. "A dynamic two country Heckscher–Ohlin model with non-homothetic preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(1), pages 171-204, September.
    3. Takuma Kunieda & Kazuo Nishimura, 2023. "Capital Account Liberalization, Financial Frictions, and Belief-Driven Fluctuations," Discussion Paper Series 244, School of Economics, Kwansei Gakuin University.
    4. Michael Zierhut, 2021. "Generic regularity of differentiated product oligopolies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(1), pages 341-374, February.
    5. Saverio M. Fratini, 2020. "Interest, profit and saving in Arrow-Debreu equilibrium models," Bulletin of Political Economy, Bulletin of Political Economy, vol. 14(1), pages 39-53, June.
    6. Drèze, Jacques H. & Herings, P. Jean-Jacques, 2008. "Sequentially complete markets remain incomplete," Economics Letters, Elsevier, vol. 100(3), pages 445-447, September.
    7. Doi, Junko & Nishimura, Kazuo & Shimomura, Koji, 2007. "A two-country dynamic model of international trade and endogenous growth: Multiple balanced growth paths and stability," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 390-419, April.
    8. Drugeon, Jean-Pierre, 2008. "On intersectoral asymmetries in factors substitutability, "Equilibrium Production Possibility Frontiers" and the emergence of indeterminacies," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 277-315, February.
    9. Nishimura, Kazuo & Venditti, Alain, 2010. "Indeterminacy and expectation-driven fluctuations with non-separable preferences," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 46-56, July.
    10. Kazuo Mino & Kazuo Nishimura & Koji Shimomura & Ping Wang, 2008. "Equilibrium dynamics in discrete-time endogenous growth models with social constant returns," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(1), pages 1-23, January.
    11. Nicholas C. S. Sim & Kong‐Weng Ho, 2007. "Autarkic indeterminacy and trade determinacy," International Journal of Economic Theory, The International Society for Economic Theory, vol. 3(4), pages 315-328, December.
    12. Yves Balasko & Octavio Tourinho, 2014. "Factor proportionality in multiple households closed CGE models: theory and illustrations," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(2), pages 119-136, October.
    13. Saverio M. Fratini, 2008. "Economic Generality Versus Mathematical Genericity: Activity‐Level Indeterminacy And The Index Theorem In Constant Returns Production Economies," Metroeconomica, Wiley Blackwell, vol. 59(2), pages 266-275, May.
    14. Fratini, Saverio M. & Levrero, Enrico Sergio & Ravagnani, Fabio, 2016. "Price expectations in neo-Walrasian equilibrium models: an overview," MPRA Paper 69515, University Library of Munich, Germany.
    15. Driskill, Robert, 2006. "Multiple equilibria in dynamic rational expectations models: A critical review," European Economic Review, Elsevier, vol. 50(1), pages 171-210, January.
    16. Junko Doi & Kazumichi Iwasa & Koji Shimomura, 2006. "Indeterminacy in the free-trade world," Discussion Paper Series 187, Research Institute for Economics & Business Administration, Kobe University.
    17. Saverio M. Fratini, 2019. "On The Second Stage Of The Cambridge Capital Controversy," Journal of Economic Surveys, Wiley Blackwell, vol. 33(4), pages 1073-1093, September.
    18. Angelo Antoci & Marcello Galeotti & Paolo Russu, 2014. "Global analysis and indeterminacy in a two-sector growth model with human capital," International Journal of Economic Theory, The International Society for Economic Theory, vol. 10(4), pages 313-338, December.
    19. Manjira Datta & Kevin Reffett & Łukasz Woźny, 2018. "Comparing recursive equilibrium in economies with dynamic complementarities and indeterminacy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(3), pages 593-626, October.
    20. Kazuo Nishimura & Carine Nourry & Thomas Seegmuller & Alain Venditti, 2013. "Destabilizing balanced-budget consumption taxes in multi-sector economies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(1), pages 113-130, March.

    More about this item

    Keywords

    Sraffian indeterminacy;

    JEL classification:

    • B51 - Schools of Economic Thought and Methodology - - Current Heterodox Approaches - - - Socialist; Marxian; Sraffian
    • D33 - Microeconomics - - Distribution - - - Factor Income Distribution
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:ums:papers:2019-04. 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: Daniele Girardi (email available below). General contact details of provider: https://edirc.repec.org/data/deumaus.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.