IDEAS home Printed from https://ideas.repec.org/p/tin/wpaper/20010013.html
   My bibliography  Save this paper

Consistent Expectations Equilibria and Complex Dynamics in Renewable Resource Markets

Author

Listed:
  • Cars H. Hommes

    (University of Amsterdam)

  • J. Barkley Rosser

    (Jr., James Madison University)

Abstract

Price fluctuations under adaptive learning in renewable resourcemarkets such as fisheries are examined. Optimal fisherymanagement with logistic fish pOpUlation growth implies a backward-bending, discounted supply curve for bioeconomicequilibrium sustained yield. Higher discount rates bend supplybackwards more to generate multiple steady state rationalexpectations equilibria. Under bounded rationality adaptive learningof a linear forecasting rule generates steady state, 2-cycle as weIl as chaotic consistent expectations equilibria (CEE),which are self-fulfilling in sample average andautocorrelations. The possibility of "learning to believe in chaos"is robust and even enhanced by dynamic noise.

Suggested Citation

  • Cars H. Hommes & J. Barkley Rosser, 2001. "Consistent Expectations Equilibria and Complex Dynamics in Renewable Resource Markets," Tinbergen Institute Discussion Papers 01-013/1, Tinbergen Institute.
    • Handle: RePEc:tin:wpaper:20010013
    as

    Download full text from publisher

    File URL: https://papers.tinbergen.nl/01013.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hommes, Cars H., 1998. "On the consistency of backward-looking expectations: The case of the cobweb," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 333-362, January.
    2. Marcet, Albert & Sargent, Thomas J., 1989. "Convergence of least squares learning mechanisms in self-referential linear stochastic models," Journal of Economic Theory, Elsevier, vol. 48(2), pages 337-368, August.
    3. Chiarella, Carl, 1988. "The cobweb model: Its instability and the onset of chaos," Economic Modelling, Elsevier, vol. 5(4), pages 377-384, October.
    4. Schonhofer, Martin, 1999. "Chaotic Learning Equilibria," Journal of Economic Theory, Elsevier, vol. 89(1), pages 1-20, November.
    5. Kazuo Nishimura & Makoto Yano, 2012. "On the Least Upper Bound of Discount Factors that are Compatible with Optimal Period-Three Cycles," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 165-191, Springer.
    6. Mitra, Tapan, 1998. "On the relationship between discounting and complicated behavior in dynamic optimization models," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 421-434, January.
    7. Jean-Michel Grandmont, 1998. "Expectations Formation and Stability of Large Socioeconomic Systems," Econometrica, Econometric Society, vol. 66(4), pages 741-782, July.
    8. Brock, William A. & Dechert, W. Davis, 1991. "Non-linear dynamical systems: Instability and chaos in economics," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 40, pages 2209-2235, Elsevier.
    9. Sargent, Thomas J., 1993. "Bounded Rationality in Macroeconomics: The Arne Ryde Memorial Lectures," OUP Catalogue, Oxford University Press, number 9780198288695, Decembrie.
    10. Bullard, James & Duffy, John, 2001. "Learning And Excess Volatility," Macroeconomic Dynamics, Cambridge University Press, vol. 5(02), pages 272-302, April.
    11. Bullard James, 1994. "Learning Equilibria," Journal of Economic Theory, Elsevier, vol. 64(2), pages 468-485, December.
    12. Radunskaya, Amy, 1994. "Comparing Random and Deterministic Time Series," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 765-776, August.
    13. J. Barkley Rosser, Jr., 1995. "Systemic Crises in Hierarchical Ecological Economies," Land Economics, University of Wisconsin Press, vol. 71(2), pages 163-172.
    14. Montrucchio, Luigi & Sorger, Gerhard, 1996. "Topological entropy of policy functions in concave dynamic optimization models," Journal of Mathematical Economics, Elsevier, vol. 25(2), pages 181-194.
    15. Hommes, Cars & Sorger, Gerhard, 1998. "Consistent Expectations Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 2(3), pages 287-321, September.
    16. Arifovic, Jasmina, 1996. "The Behavior of the Exchange Rate in the Genetic Algorithm and Experimental Economies," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 510-541, June.
    17. Sorger, Gerhard, 1998. "Imperfect foresight and chaos: an example of a self-fulfilling mistake," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 363-383, January.
    18. H. Scott Gordon, 1954. "The Economic Theory of a Common-Property Resource: The Fishery," Journal of Political Economy, University of Chicago Press, vol. 62, pages 124-124.
    19. Chavas, Jean-Paul & Holt, Matthew T., 1995. "Nonlinear Dynamics And Economic Instability: The Optimal Management Of A Biological Population," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 20(2), pages 1-16, December.
    20. Martin Schonhofer, "undated". "Chaotic Learning Equilibria," Computing in Economics and Finance 1997 121, Society for Computational Economics.
    21. Schonhofer, Martin, 2001. "Can agents learn their way out of chaos?," Journal of Economic Behavior & Organization, Elsevier, vol. 44(1), pages 71-83, January.
    22. Hommes, Cars H., 1994. "Dynamics of the cobweb model with adaptive expectations and nonlinear supply and demand," Journal of Economic Behavior & Organization, Elsevier, vol. 24(3), pages 315-335, August.
    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. Troy Tassier, 2013. "Handbook of Research on Complexity, by J. Barkley Rosser, Jr. and Edward Elgar," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 39(1), pages 132-133.
    2. Antonio Doria, Francisco, 2011. "J.B. Rosser Jr. , Handbook of Research on Complexity, Edward Elgar, Cheltenham, UK--Northampton, MA, USA (2009) 436 + viii pp., index, ISBN 978 1 84542 089 5 (cased)," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1-2), pages 196-204, April.
    3. Cars H. Hommes, 2009. "Bounded Rationality and Learning in Complex Markets," Chapters, in: J. Barkley Rosser Jr. (ed.), Handbook of Research on Complexity, chapter 5, Edward Elgar Publishing.
    4. Orlando Gomes, 2010. "Ordinary Least Squares Learning And Nonlinearities In Macroeconomics," Journal of Economic Surveys, Wiley Blackwell, vol. 24(1), pages 52-84, February.
    5. Barkley Rosser, J. Jr., 2001. "Complex ecologic-economic dynamics and environmental policy," Ecological Economics, Elsevier, vol. 37(1), pages 23-37, April.
    6. Goeree, Jacob K. & Hommes, Cars H., 2000. "Heterogeneous beliefs and the non-linear cobweb model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 761-798, June.
    7. Dudek, Maciej K., 2010. "A consistent route to randomness," Journal of Economic Theory, Elsevier, vol. 145(1), pages 354-381, January.
    8. Barbara Dluhosch, 2011. "European Economics at a Crossroads, by J. Barkley Rosser, Jr., Richard P. F. Holt, and David Colander," Journal of Regional Science, Wiley Blackwell, vol. 51(3), pages 629-631, August.
    9. Böhm, Volker & Wenzelburger, Jan, 2002. "Perfect Predictions In Economic Dynamical Systems With Random Perturbations," Macroeconomic Dynamics, Cambridge University Press, vol. 6(5), pages 687-712, November.
    10. Colucci, Domenico & Valori, Vincenzo, 2005. "Error learning behaviour and stability revisited," Journal of Economic Dynamics and Control, Elsevier, vol. 29(3), pages 371-388, March.
    11. Carl Chiarella & Xue-Zhong He, 2000. "Stability of Competitive Equilibria with Heterogeneous Beliefs and Learning," Research Paper Series 37, Quantitative Finance Research Centre, University of Technology, Sydney.
    12. Orlando Gomes, 2009. "The timing of information updates: a stability result," Economics Bulletin, AccessEcon, vol. 29(4), pages 2860-2869.
    13. J. Barkley Rosser Jr & Richard P.F. Holt & David Colander, 2010. "European Economics at a Crossroads," Books, Edward Elgar Publishing, number 13585.
    14. Gaunersdorfer, A. & Hommes, C.H. & Wagener, F.O.O., 2000. "Bifurcation Routes to Volatility Clustering," CeNDEF Working Papers 00-04, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    15. Brock, W.A. & Hommes, C.H. & Wagener, F.O.O., 2009. "More hedging instruments may destabilize markets," Journal of Economic Dynamics and Control, Elsevier, vol. 33(11), pages 1912-1928, November.
    16. Cars Hommes, 2017. "From Self-Fulfilling Mistakes to Behavioral Learning Equilibria," Studies in Economic Theory, in: Kazuo Nishimura & Alain Venditti & Nicholas C. Yannelis (ed.), Sunspots and Non-Linear Dynamics, chapter 0, pages 97-123, Springer.
    17. Hommes, Cars & Sonnemans, Joep & Tuinstra, Jan & Van De Velden, Henk, 2007. "Learning In Cobweb Experiments," Macroeconomic Dynamics, Cambridge University Press, vol. 11(S1), pages 8-33, November.
    18. Jan Tuinstra & Florian Wagener, 2007. "On learning equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(3), pages 493-513, March.
    19. Hommes, Cars, 2018. "Behavioral & experimental macroeconomics and policy analysis: a complex systems approach," Working Paper Series 2201, European Central Bank.
    20. Maciej K. Dudek, 2004. "Expectation Formation and Endogenous Fluctuations in Aggregate Demand," Econometric Society 2004 Latin American Meetings 103, Econometric Society.

    More about this item

    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:tin:wpaper:20010013. 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: Tinbergen Office +31 (0)10-4088900 (email available below). General contact details of provider: https://edirc.repec.org/data/tinbenl.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.