One-dimensional maps with two discontinuity points and three linear branches: mathematical lessons for understanding the dynamics of financial markets
Author
Abstract
Suggested Citation
DOI: 10.1007/s10203-013-0145-y
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Day, Richard H. & Huang, Weihong, 1990.
"Bulls, bears and market sheep,"
Journal of Economic Behavior & Organization, Elsevier, vol. 14(3), pages 299-329, December.
- Day, R. & Huang, W., 1988. "Bulls, Bears And Market Sheep," Papers m8822, Southern California - Department of Economics.
- Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2008. "Heterogeneity, Market Mechanisms, and Asset Price Dynamics," Research Paper Series 231, Quantitative Finance Research Centre, University of Technology, Sydney.
- Tramontana, Fabio & Westerhoff, Frank & Gardini, Laura, 2010.
"On the complicated price dynamics of a simple one-dimensional discontinuous financial market model with heterogeneous interacting traders,"
Journal of Economic Behavior & Organization, Elsevier, vol. 74(3), pages 187-205, June.
- Fabio Tramontana & Frank Westerhoff & Laura Gardini, 2010. "On the complicated price dynamics of a simple one-dimensional discontinuous financial market model with heterogeneous interacting traders," Working Papers 1005, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2010.
- J. Barkley Rosser Jr. (ed.), 2009. "Handbook of Research on Complexity," Books, Edward Elgar Publishing, number 3625.
- Huang, Weihong & Zheng, Huanhuan & Chia, Wai-Mun, 2010. "Financial crises and interacting heterogeneous agents," Journal of Economic Dynamics and Control, Elsevier, vol. 34(6), pages 1105-1122, June.
- Hens, Thorsten & Schenk-Hoppe, Klaus Reiner (ed.), 2009. "Handbook of Financial Markets: Dynamics and Evolution," Elsevier Monographs, Elsevier, edition 1, number 9780123742582.
- Tramontana, Fabio & Westerhoff, Frank & Gardini, Laura, 2015.
"A simple financial market model with chartists and fundamentalists: Market entry levels and discontinuities,"
Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 108(C), pages 16-40.
- Fabio Tramontana & Frank Westerhoff & Laura Gardini, 2011. "A simple financial market model with chartists and fundamentalists: market entry levels and discontinuities," Quaderni di Dipartimento 150, University of Pavia, Department of Economics and Quantitative Methods.
- Westerhoff Frank H., 2008. "The Use of Agent-Based Financial Market Models to Test the Effectiveness of Regulatory Policies," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 228(2-3), pages 195-227, April.
- Iryna Sushko & Laura Gardini, 2006. "Center Bifurcation for a Two-Dimensional Piecewise Linear Map," Springer Books, in: Tönu Puu & Iryna Sushko (ed.), Business Cycle Dynamics, chapter 2, pages 49-78, Springer.
- Tramontana, Fabio & Westerhoff, Frank & Gardini, Laura, 2013.
"The bull and bear market model of Huang and Day: Some extensions and new results,"
Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2351-2370.
- Tramontana, Fabio & Westerhoff, Frank & Gardini, Laura, 2012. "The bull and bear market model of Huang and Day : Some extensions and new results," BERG Working Paper Series 89, Bamberg University, Bamberg Economic Research Group.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Giovanni Campisi & Silvia Muzzioli & Fabio Tramontana, 2021. "Uncertainty about fundamental, pessimistic and overconfident traders: a piecewise-linear maps approach," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 44(2), pages 707-726, December.
- Sushko, Iryna & Tramontana, Fabio & Westerhoff, Frank & Avrutin, Viktor, 2015. "Symmetry breaking in a bull and bear financial market model," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 57-72.
- Jungeilges, Jochen & Maklakova, Elena & Perevalova, Tatyana, 2021. "Asset price dynamics in a “bull and bear market”," Structural Change and Economic Dynamics, Elsevier, vol. 56(C), pages 117-128.
- Jochen Jungeilges & Elena Maklakova & Tatyana Perevalova, 2022. "Stochastic sensitivity of bull and bear states," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(1), pages 165-190, January.
- Tramontana, Fabio & Sushko, Iryna & Avrutin, Viktor, 2015. "Period adding structure in a 2D discontinuous model of economic growth," Applied Mathematics and Computation, Elsevier, vol. 253(C), pages 262-273.
- Francesca Grassetti & Cristiana Mammana & Elisabetta Michetti, 2018. "Poverty trap, boom and bust periods and growth. A nonlinear model for non-developed and developing countries," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 145-162, November.
- Giovanni Campisi & Silvia Muzzioli & Fabio Tramontana, 2021. "Uncertainty about fundamental and pessimistic traders: a piecewise-linear maps approach," Department of Economics 0186, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
- En-Guo Gu, 2020. "On the Price Dynamics of a Two-Dimensional Financial Market Model with Entry Levels," Complexity, Hindawi, vol. 2020, pages 1-23, August.
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.- Sushko, Iryna & Tramontana, Fabio & Westerhoff, Frank & Avrutin, Viktor, 2015. "Symmetry breaking in a bull and bear financial market model," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 57-72.
- Tramontana, Fabio & Westerhoff, Frank & Gardini, Laura, 2013.
"The bull and bear market model of Huang and Day: Some extensions and new results,"
Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2351-2370.
- Tramontana, Fabio & Westerhoff, Frank & Gardini, Laura, 2012. "The bull and bear market model of Huang and Day : Some extensions and new results," BERG Working Paper Series 89, Bamberg University, Bamberg Economic Research Group.
- Fabio Tramontana & Laura Gardini & Frank Westerhoff, 2011. "Heterogeneous Speculators and Asset Price Dynamics: Further Results from a One-Dimensional Discontinuous Piecewise-Linear Map," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 329-347, October.
- En-Guo Gu, 2020. "On the Price Dynamics of a Two-Dimensional Financial Market Model with Entry Levels," Complexity, Hindawi, vol. 2020, pages 1-23, August.
- Schmitt, Noemi & Westerhoff, Frank, 2014.
"Speculative behavior and the dynamics of interacting stock markets,"
Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 262-288.
- Schmitt, Noemi & Westerhoff, Frank, 2013. "Speculative behavior and the dynamics of interacting stock markets," BERG Working Paper Series 90, Bamberg University, Bamberg Economic Research Group.
- Tramontana, Fabio & Westerhoff, Frank & Gardini, Laura, 2015.
"A simple financial market model with chartists and fundamentalists: Market entry levels and discontinuities,"
Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 108(C), pages 16-40.
- Fabio Tramontana & Frank Westerhoff & Laura Gardini, 2011. "A simple financial market model with chartists and fundamentalists: market entry levels and discontinuities," Quaderni di Dipartimento 150, University of Pavia, Department of Economics and Quantitative Methods.
- Giovanni Campisi & Silvia Muzzioli & Fabio Tramontana, 2021. "Uncertainty about fundamental and pessimistic traders: a piecewise-linear maps approach," Department of Economics 0186, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
- Giovanni Campisi & Silvia Muzzioli & Fabio Tramontana, 2021. "Uncertainty about fundamental, pessimistic and overconfident traders: a piecewise-linear maps approach," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 44(2), pages 707-726, December.
- Schmitt, Noemi & Westerhoff, Frank, 2017.
"On the bimodality of the distribution of the S&P 500's distortion: Empirical evidence and theoretical explanations,"
Journal of Economic Dynamics and Control, Elsevier, vol. 80(C), pages 34-53.
- Schmitt, Noemi & Westerhoff, Frank, 2017. "On the bimodality of the distribution of the S&P 500's distortion: Empirical evidence and theoretical explanations," BERG Working Paper Series 119, Bamberg University, Bamberg Economic Research Group.
- Jochen Jungeilges & Elena Maklakova & Tatyana Perevalova, 2022. "Stochastic sensitivity of bull and bear states," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(1), pages 165-190, January.
- Jungeilges, Jochen & Maklakova, Elena & Perevalova, Tatyana, 2021. "Asset price dynamics in a “bull and bear market”," Structural Change and Economic Dynamics, Elsevier, vol. 56(C), pages 117-128.
- Dieci, Roberto & Gardini, Laura & Westerhoff, Frank, 2022. "On the destabilizing nature of capital gains taxes," International Review of Financial Analysis, Elsevier, vol. 83(C).
- Franke, Reiner, 2010. "On the specification of noise in two agent-based asset pricing models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(6), pages 1140-1152, June.
- Agliari, Anna & Naimzada, Ahmad & Pecora, Nicolò, 2018. "Boom-bust dynamics in a stock market participation model with heterogeneous traders," Journal of Economic Dynamics and Control, Elsevier, vol. 91(C), pages 458-468.
- Westerhoff, Frank, 2011. "Interactions between the real economy and the stock market," BERG Working Paper Series 84, Bamberg University, Bamberg Economic Research Group.
- Cafferata, Alessia & Tramontana, Fabio, 2019. "A financial market model with confirmation bias," Structural Change and Economic Dynamics, Elsevier, vol. 51(C), pages 252-259.
- Matthias Lengnick & Hans-Werner Wohltmann, 2013.
"Agent-based financial markets and New Keynesian macroeconomics: a synthesis,"
Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 8(1), pages 1-32, April.
- Lengnick, Matthias & Wohltmann, Hans-Werner, 2010. "Agent-based financial markets and New Keynesian macroeconomics: A synthesis," Economics Working Papers 2010-10, Christian-Albrechts-University of Kiel, Department of Economics.
- Lengnick, Matthias & Wohltmann, Hans-Werner, 2011. "Agent-based financial markets and New Keynesian macroeconomics: A synthesis," Economics Working Papers 2011-09, Christian-Albrechts-University of Kiel, Department of Economics.
- Brianzoni, Serena & Campisi, Giovanni, 2020. "Dynamical analysis of a financial market with fundamentalists, chartists, and imitators," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
- Fabio Tramontana, 2013. "The role of cognitively biased imitators in a small scale agent-based financial market," DEM Working Papers Series 029, University of Pavia, Department of Economics and Management.
- Tramontana, Fabio & Westerhoff, Frank & Gardini, Laura, 2010.
"On the complicated price dynamics of a simple one-dimensional discontinuous financial market model with heterogeneous interacting traders,"
Journal of Economic Behavior & Organization, Elsevier, vol. 74(3), pages 187-205, June.
- Fabio Tramontana & Frank Westerhoff & Laura Gardini, 2010. "On the complicated price dynamics of a simple one-dimensional discontinuous financial market model with heterogeneous interacting traders," Working Papers 1005, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2010.
More about this item
Keywords
Financial crises; Bull and bear dynamics; Discontinuous piecewise linear maps; Border collision bifurcations; Adding scheme;All these keywords.
Statistics
Access and download statisticsCorrections
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:decfin:v:37:y:2014:i:1:p:27-51. 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.