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Interacting cobweb markets

Author

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  • Roberto Dieci

    () (Department of Mathematics for Economics and Social Sciences - UNIBO - Università di Bologna [Bologna])

  • Frank Westerhoff

    () (Department of Economics - University of Bamberg)

Abstract

We enrich the classical cobweb framework by allowing producers to enter different markets. The market entry decision is repeated every period and depends on the markets' historical profit differentials. As a result, the number of producers in a market and thus also a market's total supply vary over time. Analytical and numerical investigations of our four-dimensional nonlinear model indicate that interacting cobweb markets may contribute to the strong cyclical price motion observed in many commodity markets. We furthermore find that endogenous dynamics may either set in via a Flip or a Neimark-Sacker bifurcation. Interestingly, the latter scenario is prevalent if producers are sufficiently risk averse.

Suggested Citation

  • Roberto Dieci & Frank Westerhoff, 2010. "Interacting cobweb markets," Post-Print hal-00849411, HAL.
  • Handle: RePEc:hal:journl:hal-00849411
    DOI: 10.1016/j.jebo.2010.05.004
    Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00849411
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    References listed on IDEAS

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    1. 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.
    2. 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.
    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. Chiarella, Carl & He, Xue-Zhong & Hung, Hing & Zhu, Peiyuan, 2006. "An analysis of the cobweb model with boundedly rational heterogeneous producers," Journal of Economic Behavior & Organization, Elsevier, vol. 61(4), pages 750-768, December.
    5. Lasselle, Laurence & Svizzero, Serge & Tisdell, Clem, 2005. "Stability And Cycles In A Cobweb Model With Heterogeneous Expectations," Macroeconomic Dynamics, Cambridge University Press, vol. 9(05), pages 630-650, November.
    6. Eduardo Borensztein & Peter Wickham & Mohsin S. Khan & Carmen Reinhart, 1994. "The Behavior of Non-Oil Commodity Prices," IMF Occasional Papers 112, International Monetary Fund.
    7. Angus Deaton, 1999. "Commodity Prices and Growth in Africa," Journal of Economic Perspectives, American Economic Association, vol. 13(3), pages 23-40, Summer.
    8. Chiarella, Carl & He, Xue-Zhong, 2003. "Dynamics of beliefs and learning under aL-processes -- the heterogeneous case," Journal of Economic Dynamics and Control, Elsevier, vol. 27(3), pages 503-531, January.
    9. Branch, William A., 2002. "Local convergence properties of a cobweb model with rationally heterogeneous expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 27(1), pages 63-85, November.
    10. Richard H. Day, 1994. "Complex Economic Dynamics - Vol. 1: An Introduction to Dynamical Systems and Market Mechanisms," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262041413, January.
    11. Medio,Alfredo & Lines,Marji, 2001. "Nonlinear Dynamics," Cambridge Books, Cambridge University Press, number 9780521558747, August.
    12. Cashin, Paul & McDermott, C. John & Scott, Alasdair, 2002. "Booms and slumps in world commodity prices," Journal of Development Economics, Elsevier, vol. 69(1), pages 277-296, October.
    13. William A. Brock & Cars H. Hommes, 1997. "A Rational Route to Randomness," Econometrica, Econometric Society, vol. 65(5), pages 1059-1096, September.
    14. Sonnemans, Joep & Hommes, Cars & Tuinstra, Jan & van de Velden, Henk, 2004. "The instability of a heterogeneous cobweb economy: a strategy experiment on expectation formation," Journal of Economic Behavior & Organization, Elsevier, vol. 54(4), pages 453-481, August.
    15. Brock, William A. & Hommes, Cars H., 1998. "Heterogeneous beliefs and routes to chaos in a simple asset pricing model," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1235-1274, August.
    16. 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.
    17. Hommes, Cars H. & Rosser,, J. Barkley, 2001. "Consistent Expectations Equilibria And Complex Dynamics In Renewable Resource Markets," Macroeconomic Dynamics, Cambridge University Press, vol. 5(02), pages 180-203, April.
    18. Baak, Saang Joon, 1999. "Tests for bounded rationality with a linear dynamic model distorted by heterogeneous expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1517-1543, September.
    19. Chavas, Jean-Paul, 2000. "On information and market dynamics: The case of the U.S. beef market," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 833-853, June.
    20. Currie, Martin & Kubin, Ingrid, 1995. "Non-linearities and partial analysis," Economics Letters, Elsevier, vol. 49(1), pages 27-31, July.
    21. Medio,Alfredo & Lines,Marji, 2001. "Nonlinear Dynamics," Cambridge Books, Cambridge University Press, number 9780521551861, August.
    22. Boussard, Jean-Marc, 1996. "When risk generates chaos," Journal of Economic Behavior & Organization, Elsevier, vol. 29(3), pages 433-446, May.
    23. 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.
    24. Hommes, Cars & van Eekelen, Arno, 1996. "Partial equilibrium analysis in a noisy chaotic market," Economics Letters, Elsevier, vol. 53(3), pages 275-282, December.
    25. Onozaki, Tamotsu & Sieg, Gernot & Yokoo, Masanori, 2003. "Stability, chaos and multiple attractors: a single agent makes a difference," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1917-1938, August.
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    Cited by:

    1. Fausto, Cavalli, 2016. "A cobweb model with alternating demand and supply functions," Working Papers 325, University of Milano-Bicocca, Department of Economics, revised 07 Feb 2016.
    2. Tuinstra, Jan & Wegener, Michael & Westerhoff, Frank, 2014. "Positive welfare effects of trade barriers in a dynamic partial equilibrium model," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 246-264.
    3. repec:bla:reviec:v:26:y:2018:i:3:p:691-708 is not listed on IDEAS
    4. Mariacristina Uberti & Simone Landini & Simone Casellina, 2014. "Adjustable and fixed interest rates mortgage markets modelling," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 22(2), pages 391-406, June.
    5. Ingrid Kubin & Laura Gardini, 2013. "Border collision bifurcations in boom and bust cycles," Journal of Evolutionary Economics, Springer, vol. 23(4), pages 811-829, September.
    6. Nicoleta SÎRGHI & Gabriela MIRCEA & Mihaela NEAMŢU & Laura Mariana CISMAŞ & Camelia HAŢEGAN, 2016. "Stability Analysis Of Some Dynamical Models For Prices With Distributed Delays," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 50(3), pages 135-152.
    7. Schmitt, Noemi & Tuinstra, Jan & Westerhoff, Frank, 2017. "Side effects of nonlinear profit taxes in an evolutionary market entry model: Abrupt changes, coexisting attractors and hysteresis problems," Journal of Economic Behavior & Organization, Elsevier, vol. 135(C), pages 15-38.
    8. Dieci, Roberto & Schmitt, Noemi & Westerhoff, Frank, 2018. "Interactions between stock, bond and housing markets," Journal of Economic Dynamics and Control, Elsevier, vol. 91(C), pages 43-70.
    9. Lundberg, Liv & Jonson, Emma & Lindgren, Kristian & Bryngelsson, David & Verendel, Vilhelm, 2015. "A cobweb model of land-use competition between food and bioenergy crops," Journal of Economic Dynamics and Control, Elsevier, vol. 53(C), pages 1-14.
    10. repec:eee:ecmode:v:72:y:2018:i:c:p:363-378 is not listed on IDEAS
    11. Noemi Schmitt & Jan Tuinstra & Frank Westerhoff, 2018. "Stability and welfare effects of profit taxes within an evolutionary market interaction model," Review of International Economics, Wiley Blackwell, vol. 26(3), pages 691-708, August.
    12. S. Casellina & S. Landini & M. Uberti, 2011. "Credit market dynamics: a cobweb model," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 221-239, October.
    13. De Grauwe, Paul & Rovira Kaltwasser, Pablo, 2012. "Animal spirits in the foreign exchange market," Journal of Economic Dynamics and Control, Elsevier, vol. 36(8), pages 1176-1192.
    14. Chaudhry, Muhammad Imran & Katchova, Ani & Miranda, Mario Javier, 2016. "Examining pricing mechanics in the poultry value chain - empirical evidence from Pakistan," 2016 Annual Meeting, July 31-August 2, Boston, Massachusetts 235953, Agricultural and Applied Economics Association.
    15. Tuinstra, Jan & Wegener, Michael & Westerhoff, Frank, 2013. "Positive welfare effects of trade barriers in a dynamic equilibrium model," BERG Working Paper Series 91, Bamberg University, Bamberg Economic Research Group.
    16. Fu, Min & Xia, Jun & Fan, Xinghua & Tian, Lixin & Wang, Minggang, 2015. "New non-equilibrium cobweb dynamical evolution model and its application," Economic Modelling, Elsevier, vol. 51(C), pages 544-550.

    More about this item

    Keywords

    C62; E32; Q11; price fluctuations; market interactions; risk aversion; nonlinear dynamics; bifurcation analysis;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • Q11 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Aggregate Supply and Demand Analysis; Prices

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