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Interacting cobweb markets

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  • Dieci, Roberto
  • Westerhoff, Frank

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.
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  • Dieci, Roberto & Westerhoff, Frank, 2010. "Interacting cobweb markets," Journal of Economic Behavior & Organization, Elsevier, vol. 75(3), pages 461-481, September.
    • Handle: RePEc:eee:jeborg:v:75:y:2010:i:3:p:461-481
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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. Hommes, Cars & Li, Kai & Wagener, Florian, 2022. "Production delays and price dynamics," Journal of Economic Behavior & Organization, Elsevier, vol. 194(C), pages 341-362.
    3. 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.
    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. 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.
    7. 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.
    8. Dieci, Roberto & Mignot, Sarah & Westerhoff, Frank, 2022. "Production delays, technology choice and cyclical cobweb dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    9. Luca Gori & Luca Guerrini & Mauro Sodini, 2014. "Hopf Bifurcation in a Cobweb Model with Discrete Time Delays," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-8, June.
    10. 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.
    11. Hommes, Cars & Vroegop, Joris, 2019. "Contagion between asset markets: A two market heterogeneous agents model with destabilising spillover effects," Journal of Economic Dynamics and Control, Elsevier, vol. 100(C), pages 314-333.
    12. 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.
    13. Valentin Marian ANTOHI & Monica Laura ZLATI, 2018. "The impact of profit taxation on the financial solvency of economic agents," Risk in Contemporary Economy, "Dunarea de Jos" University of Galati, Faculty of Economics and Business Administration, pages 43-55.
    14. Dieci, Roberto & Mignot, Sarah & Schmitt, Noemi & Westerhoff, Frank H., 2022. "Production delays, supply distortions and endogenous price dynamics," BERG Working Paper Series 182, Bamberg University, Bamberg Economic Research Group.
    15. 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.
    16. 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.
    17. Chaudhry, Muhammad Imran & Miranda, Mario J., 2018. "Complex price dynamics in vertically linked cobweb markets," Economic Modelling, Elsevier, vol. 72(C), pages 363-378.
    18. 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.
    19. 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.
    20. 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.
    21. 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.

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    More about this item

    Keywords

    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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