IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v137y2005i1p299-32910.1007-s10479-005-2262-7.html
   My bibliography  Save this article

Expectation-Stock Dynamics in Multi-Agent Fisheries

Author

Listed:
  • Gian-Italo Bischi
  • Michael Kopel
  • Ferenc Szidarovszky

Abstract

In this paper we consider a game-theoretic dynamic model describing the exploitation of a renewable resource. Our model is based on a Cournot oligopoly game where n profit-maximizing players harvest fish and sell their catch on m markets. We assume that the players do not know the law governing the reproduction of the resource. Instead they use an adaptive updating scheme to forecast the future fish stock. We analyze the resulting dynamical system which describes how the fish population and the forecasts (expectations) of the players evolve over time. We provide results on the existence and local stability of steady states. We consider the set of initial conditions which give non-negative trajectories converging to an equilibrium and illustrate how this set can be characterized. We show how such sets may change as some structural parameters of our model are varied and how these changes can be explained. This paper extends existing results in the literature by showing that they also hold in our two-dimensional framework. Moreover, by using analytical and numerical methods, we provide some new results on global dynamics which show that such sets of initial conditions can have complicated topological structures, a situation which may be particularly troublesome for policymakers. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • Gian-Italo Bischi & Michael Kopel & Ferenc Szidarovszky, 2005. "Expectation-Stock Dynamics in Multi-Agent Fisheries," Annals of Operations Research, Springer, vol. 137(1), pages 299-329, July.
    • Handle: RePEc:spr:annopr:v:137:y:2005:i:1:p:299-329:10.1007/s10479-005-2262-7
    DOI: 10.1007/s10479-005-2262-7
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-005-2262-7
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10479-005-2262-7?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Bischi, Gian Italo & Kopel, Michael, 2001. "Equilibrium selection in a nonlinear duopoly game with adaptive expectations," Journal of Economic Behavior & Organization, Elsevier, vol. 46(1), pages 73-100, September.
    2. Marc Nerlove, 1958. "Adaptive Expectations and Cobweb Phenomena," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 72(2), pages 227-240.
    3. Bischi, G. -I. & Dawid, H. & Kopel, M., 2003. "Gaining the competitive edge using internal and external spillovers: a dynamic analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 27(11-12), pages 2171-2193, September.
    4. Clark, Colin W. & Kirkwood, Geoffrey P., 1986. "On uncertain renewable resource stocks: Optimal harvest policies and the value of stock surveys," Journal of Environmental Economics and Management, Elsevier, vol. 13(3), pages 235-244, September.
    5. Bischi, G. -I. & Dawid, H. & Kopel, M., 2003. "Spillover effects and the evolution of firm clusters," Journal of Economic Behavior & Organization, Elsevier, vol. 50(1), pages 47-75, January.
    6. Bischi, Gian Italo & Gardini, Laura & Kopel, Michael, 2000. "Analysis of global bifurcations in a market share attraction model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 855-879, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    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. Quérou, N. & Tidball, M., 2010. "Incomplete information, learning, and natural resource management," European Journal of Operational Research, Elsevier, vol. 204(3), pages 630-638, August.
    3. N. Quérou & M. Tidball, 2014. "Consistent conjectures in a dynamic model of non-renewable resource management," Annals of Operations Research, Springer, vol. 220(1), pages 159-180, September.
    4. Lamantia, Fabio, 2006. "Variable effort management of renewable natural resources," Chaos, Solitons & Fractals, Elsevier, vol. 29(3), pages 771-782.
    5. Gámez, Manuel & López, Inmaculada & Rodríguez, Carmelo & Varga, Zoltán & Garay, József, 2018. "Game-theoretical model for marketing cooperative in fisheries," Applied Mathematics and Computation, Elsevier, vol. 329(C), pages 325-338.
    6. Fausto Cavalli & Ahmad Naimzada & Lucia Parisio, 2021. "Learning in a double-phase cobweb model," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 44(2), pages 579-611, December.
    7. Bischi, Gian Italo & Kopel, Michael & Szidarovszky, Ferenc, 2014. "A note on the paper ‘On dynamical multi-team Cournot game in exploitation of a renewable resource’," Chaos, Solitons & Fractals, Elsevier, vol. 62, pages 34-35.
    8. Gu, En-Guo, 2009. "Complex dynamics analysis on fish stock harvested by two players with heterogeneous rationality," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 964-974.
    9. Bischi, Gian Italo & Lamantia, Fabio, 2007. "Harvesting dynamics in protected and unprotected areas," Journal of Economic Behavior & Organization, Elsevier, vol. 62(3), pages 348-370, March.
    10. Bischi, Gian Italo & Naimzada, Ahmad K. & Sbragia, Lucia, 2007. "Oligopoly games with Local Monopolistic Approximation," Journal of Economic Behavior & Organization, Elsevier, vol. 62(3), pages 371-388, March.
    11. 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.
    12. Marta Elena Biancardi, 2004. "Determinazione di strategie nello sfruttamento di una risorsa rinnovabile," Quaderni DSEMS 09-2004, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.

    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. Bischi, G.-I. & Dawid, H. & Kopel, M., 2003. "Gaining the competitive edge using internal and external spillovers: a dynamic analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 27(11), pages 2171-2193.
    3. Dawid, Herbert, 2007. "Evolutionary game dynamics and the analysis of agent-based imitation models: The long run, the medium run and the importance of global analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 31(6), pages 2108-2133, June.
    4. Tamotsu Onozaki, 2018. "Nonlinearity, Bounded Rationality, and Heterogeneity," Springer Books, Springer, number 978-4-431-54971-0, June.
    5. 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.
    6. Gian Italo Bischi & Fabio Lamantia & Davide Radi, 2018. "Evolutionary oligopoly games with heterogeneous adaptive players," Chapters, in: Luis C. Corchón & Marco A. Marini (ed.), Handbook of Game Theory and Industrial Organization, Volume I, chapter 12, pages 343-370, Edward Elgar Publishing.
    7. Fabio Lamantia & Mario Pezzino, 2018. "The dynamic effects of fiscal reforms and tax competition on tax compliance and migration," Review of International Economics, Wiley Blackwell, vol. 26(3), pages 672-690, August.
    8. Bischi, Gian Italo & Merlone, Ugo & Pruscini, Eros, 2018. "Evolutionary dynamics in club goods binary games," Journal of Economic Dynamics and Control, Elsevier, vol. 91(C), pages 104-119.
    9. Brianzoni, Serena & Coppier, Raffaella & Michetti, Elisabetta, 2019. "Evolutionary effects of non-compliant behavior in public procurement," Structural Change and Economic Dynamics, Elsevier, vol. 51(C), pages 106-118.
    10. 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.
    11. Fabio Lamantia & Mario Pezzino & Fabio Tramontana, 2017. "Tax Evasion, Intrinsic Motivation, and the Evolutionary Effects of Tax Reforms," Economics Discussion Paper Series 1707, Economics, The University of Manchester.
    12. Radi, Davide & Lamantia, Fabio & Italo Bischi, Gian, 2021. "Offshoring, Reshoring, Unemployment, And Wage Dynamics In A Two-Country Evolutionary Model," Macroeconomic Dynamics, Cambridge University Press, vol. 25(3), pages 705-732, April.
    13. Naimzada, Ahmad K. & Sbragia, Lucia, 2006. "Oligopoly games with nonlinear demand and cost functions: Two boundedly rational adjustment processes," Chaos, Solitons & Fractals, Elsevier, vol. 29(3), pages 707-722.
    14. Bischi, Gian Italo & Cerboni Baiardi, Lorenzo, 2015. "A dynamic marketing model with best reply and inertia," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 145-156.
    15. Agliari, Anna & Dieci, Roberto & Gardini, Laura, 2007. "Homoclinic tangles in a Kaldor-like business cycle model," Journal of Economic Behavior & Organization, Elsevier, vol. 62(3), pages 324-347, March.
    16. Bischi, G. -I. & Dawid, H. & Kopel, M., 2003. "Spillover effects and the evolution of firm clusters," Journal of Economic Behavior & Organization, Elsevier, vol. 50(1), pages 47-75, January.
    17. Fabio Lamantia & Mario Pezzino, 2021. "Social norms and evolutionary tax compliance," Manchester School, University of Manchester, vol. 89(4), pages 385-405, July.
    18. Kopel, Michael & Lamantia, Fabio & Szidarovszky, Ferenc, 2014. "Evolutionary competition in a mixed market with socially concerned firms," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 394-409.
    19. Zhu, Yan-lan & Zhou, Wei & Chu, Tong, 2022. "Analysis of complex dynamical behavior in a mixed duopoly model with heterogeneous goods," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    20. 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.

    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:spr:annopr:v:137:y:2005:i:1:p:299-329:10.1007/s10479-005-2262-7. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.