Reference health
Some reflections on past and future of nonlinear dynamics in economics and finance
150/150 checkable references clean · checked 2026-08-09
Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.
18 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.
The 150 checked references that resolve
resolves10.1142/S0219198906000758
GLOBAL BIFURCATIONS IN DUOPOLY WHEN THE COURNOT POINT IS DESTABILIZED VIA A SUBCRITICAL NEIMARK BIFURCATION
resolves10.1007/s10203-012-0139-1
Expectations and industry location: a discrete time dynamical analysis
resolves10.1016/j.amc.2016.01.045
Nonlinear dynamics of a Cournot duopoly game with differentiated products
resolves10.1016/j.matcom.2009.04.001
Bifurcation analysis of a dynamic duopoly model with heterogeneous costs and behavioural rules
resolves10.1016/j.ecolecon.2008.09.009
Environmental degradation as engine of undesirable economic growth via self-protection consumption choices
resolves10.1007/s11403-009-0059-5
Environmental degradation, self-protection choices and coordination failures in a North–South evolutionary model
resolves10.1016/j.chaos.2009.03.055
Indeterminacy, bifurcations and chaos in an overlapping generations model with negative environmental externalities
resolves10.1016/j.na.2009.01.077
Financing the adoption of environment preserving technologies via innovative financial instruments: An evolutionary game approach
resolves10.1007/s10614-011-9294-7
Financial Tools for the Abatement of Traffic Congestion: A Dynamical Analysis
resolves10.1016/j.jet.2010.12.003
Poverty trap and global indeterminacy in a growth model with open-access natural resources
resolves10.1007/s00191-011-0238-0
Environmental options and technological innovation: an evolutionary game model
resolves10.1016/j.cnsns.2016.02.005
Nonlinear dynamics and global indeterminacy in an overlapping generations model with environmental resources
resolves10.1016/j.jedc.2013.04.015
The impact of short-selling constraints on financial market stability in a heterogeneous agents model
resolves10.1016/j.jebo.2016.06.002
Microfoundations for switching behavior in heterogeneous agent models: An experiment
resolves10.1007/s10203-018-0218-z
Global indeterminacy and equilibrium selection in a model with depletion of non-renewable resources
resolves10.1007/s10203-018-0217-0
Competition and cooperation in the exploitation of the groundwater resource
resolves10.1111/nrm.12037
INTERNATIONAL ENVIRONMENTAL AGREEMENTS WITH DEVELOPED AND DEVELOPING COUNTRIES IN A DYNAMIC APPROACH
resolves10.1023/A:1018931824853
Symmetry‐breaking bifurcations and representativefirm in dynamic duopoly games
resolves10.4337/9781845421441.00017
Competition and Cooperation in Natural Resources Exploitation: An Evolutionary Game Approach
resolves10.1111/nrm.12013
MULTISPECIES EXPLOITATION WITH EVOLUTIONARY SWITCHING OF HARVESTING STRATEGIES
resolves10.1016/j.amc.2013.02.061
A prey–predator fishery model with endogenous switching of harvesting strategy
resolves10.1016/S0165-1889(99)00032-9
Differential savings, factor shares, and endogenous growth cycles
resolves10.1016/S0165-1889(98)00011-6
Heterogeneous beliefs and routes to chaos in a simple asset pricing model
resolves10.1016/j.amc.2014.10.031
A Cournot duopoly game with heterogeneous players: Nonlinear dynamics of the gradient rule versus local monopolistic approach
resolves10.1080/10236198.2016.1202940
A multiscale time model with piecewise constant argument for a boundedly rational monopolist
resolves10.1016/j.cnsns.2014.11.013
Nonlinear dynamics and global analysis of a heterogeneous Cournot duopoly with a local monopolistic approach versus a gradient rule with endogenous reactivity
resolves10.1007/s10203-018-0225-0
Oligopoly models with different learning and production time scales
resolves10.1016/j.chaos.2015.07.011
Evolutionary competition between boundedly rational behavioral rules in oligopoly games
resolves10.1016/j.jedc.2014.07.011
Regional integration, international liberalisation and the dynamics of industrial agglomeration
resolves10.1016/bs.hescom.2018.03.002
Heterogeneous Agent Models in Finance ✶ ✶Acknowledgments: We are grateful to the editors, Cars Hommes and Blake LeBaron, and three reviewers for their very helpful comments. We also thank the participants to the Workshop “Handbook of Computational Economics, Volume 4, Heterogeneous Agent Models”, hosted by the Amsterdam School of Economics, University of Amsterdam, for insightful discussions and suggestions. We would like to dedicate this survey to the memory of Carl Chiarella who inspired and collaborated with us on a large body of research covered partially in this chapter. Financial support from the Australian Research Council (ARC) under Discovery Grant (DP130103210) is gratefully acknowledged.
resolves10.1007/s10203-018-0214-3
Steady states, stability and bifurcations in multi-asset market models
resolves10.1007/s10614-008-9130-x
E&F Chaos: A User Friendly Software Package for Nonlinear Economic Dynamics
resolves10.1016/S0899-8256(02)00001-5
Endogenous fluctuations under evolutionary pressure in Cournot competition
resolves10.1016/j.cnsns.2010.03.002
Nonlinear dynamics in a heterogeneous duopoly game with adjusting players and diseconomies of scale
resolves10.1016/j.ecolecon.2011.06.004
Groundwater and ecosystems damages: Questioning the Gisser–Sánchez effect
resolves10.1016/j.chaos.2013.04.002
The dynamics of a Bertrand duopoly with differentiated products: Synchronization, intermittency and global dynamics
resolves10.2307/2295710
The Stability of the Cournot Oligopoly Solution: The Effects of Speeds of Adjustment and Increasing Marginal Costs
resolves10.1016/j.jedc.2011.10.004
Structural stochastic volatility in asset pricing dynamics: Estimation and model contest
resolves10.1007/s11403-014-0140-6
Why a simple herding model may generate the stylized facts of daily returns: explanation and estimation
resolves10.1016/j.jeem.2008.02.001
Environmental investment and policy with distortionary taxes, and endogenous growth
resolves10.1007/s10887-006-7404-5
Rich Nations, Poor Nations: How Much Can Multiple Equilibria Explain?
resolves10.1007/s10203-018-0211-6
Poverty trap, boom and bust periods and growth. A nonlinear model for non-developed and developing countries
resolves10.1007/s10203-018-0223-2
A heterogeneous agent model of asset price dynamics with two time delays
resolves10.1016/j.jedc.2012.02.002
Heterogeneous beliefs and adaptive behaviour in a continuous-time asset price model
resolves10.1017/CBO9781139094276
Behavioral Rationality and Heterogeneous Expectations in Complex Economic Systems
resolves10.1007/s13235-018-0238-x
Evolutionary Competition Between Adjustment Processes in Cournot Oligopoly: Instability and Complex Dynamics
resolves10.1016/S0960-0779(96)00070-7
Simple and complex adjustment dynamics in Cournot duopoly models
resolves10.1016/j.matcom.2013.09.013
Exploitation of renewable resources with differentiated technologies: An evolutionary analysis
resolves10.1063/1.5024245
Evolutionary technology adoption in an oligopoly market with forward-looking firms
resolves10.1016/bs.hescom.2018.02.003
Empirical Validation of Agent-Based Models ✶ ✶We gratefully acknowledge the very detailed and careful comments by three anonymous reviewers. Very useful feedback and comments have also been provided by Robert Axtell, Herbert Dawid, Cees Diks, and Blake LeBaron.
resolves10.1007/s10203-018-0226-z
Environmental depletion, defensive consumption and negative externalities
resolves10.1007/s10203-018-0220-5
A piecewise linear model of credit traps and credit cycles: a complete characterization
resolves10.1257/aer.20130047
Rational Inattention to Discrete Choices: A New Foundation for the Multinomial Logit Model
resolves10.1016/j.jeem.2008.07.008
The tragedy of the commons in international fisheries: An empirical examination
resolves10.1155/2010/503695
Multiple Attractors and Nonlinear Dynamics in an Overlapping Generations Model with Environment
resolves10.1016/j.nonrwa.2012.04.007
Wealth-sensitive positional competition as a source of dynamic complexity in OLG models
resolves10.1016/j.jedc.2013.06.015
Asset price dynamics with heterogeneous beliefs and local network interactions
resolves10.1016/j.econmod.2006.10.004
Global and local indeterminacy and optimal environmental public policies in an economy with public abatement activities
resolves10.1016/j.jebo.2006.06.010
On the stability of Cournot equilibrium when the number of competitors increases
resolves10.1007/s00191-017-0536-2
Walrasian versus Cournot behavior in an oligopoly of boundedly rational firms
resolves10.1016/S0165-1889(99)00047-0
Competitive versus efficient extraction of a common property resource: The groundwater case
resolves10.1016/j.jedc.2014.05.009
Speculative behavior and the dynamics of interacting stock markets
resolves10.1007/BF01226990
A linear oligopoly model with adaptive expectations: Stability reconsidered
resolves10.1016/j.jedc.2008.06.001
Cournot duopoly when the competitors operate multiple production plants
resolves10.1016/j.nonrwa.2015.05.005
Local stability of the Cournot solution with increasing heterogeneous competitors
resolves10.1016/S0165-1889(98)00068-2
An illustration of the essential difference between individual and social learning, and its consequences for computational analyses
resolves10.1016/j.jedc.2004.12.004
The effectiveness of Keynes–Tobin transaction taxes when heterogeneous agents can trade in different markets: A behavioral finance approach
resolves10.1007/s001910050035
Stability and limit cycles in one-dimensional dynamic optimisations of competitive agents with a market externality
The 18 references without a DOI — listed, not checked
no DOI — not checkedAnderson, P.W., Arrow, K.J., Pines, D.: The Economy As An Evolving Complex System. Santa Fe Institute Series, CRC press, Taylor & Francis group, ISBN: 9780201156850 (1988)
no DOI — not checkedArthur, W.B., Durlauf, S.N., Lane, D.: The Economy as an Evolving Complex System II. Santa Fe Institute Studies in the Science of Complexity (1997)
no DOI — not checkedBischi, G.I., Panchuk, A., Radi, D.: Qualitative Theory of Dynamical Systems. Tools and Applications for Economic Modelling. Springer, Berlin (2016)
no DOI — not checkedBrianzoni, S., Mammana, C., Michetti, E.: Variable elasticity of substituition in a discrete time Solow-Swan growth model with differential saving. Chaos, Solitons & Fractals 45(1), 98–108 (2012)
no DOI — not checkedBrock, W.A.: Pathways to randomness in the economy: emergent nonlinearity and chaos in economics and finance. Estudios Económicos 8(1), 3–55 (1993)
no DOI — not checkedBrock, W.A., Hommes, C.H.: A rational route to randomness. Econom. J. Econom. Soc. 65(5), 1059–1095 (1997)
no DOI — not checkedCaravaggio, A., Sodini, M.: Nonlinear dynamics in coevolution of economic and environmental systems. Front. Appl. Math. Stat. 4(26), 1–17 (2018)
no DOI — not checkedChernulich, A.: A self-tuning model of adaptive choice. University of Technology Sydney working paper (2018)
no DOI — not checkedClark, C.W.: Mathematical Bioeconomics: The Optimal Management of Renewable Resources, 2nd edn. Wiley, New York (1990)
no DOI — not checkedDay, R.H.: Irregular growth cycles. Am. Econ. Rev. 72(3), 406–414 (1982)
no DOI — not checkeddi Bernardo, M., Budd, C.J., Champneys, A.R., Kowalczyk, P.: Piecewise-Smooth Dynamical Systems: Theory and Applications. Springer, Berlin (2008)
no DOI — not checkedDubiel-Teleszyński, T.: Complex dynamics in a Bertrand duopoly game with heterogeneous players. Cent. Eur. J. Econ. Model. Econom. 2(2), 95–116 (2010)
no DOI — not checkedFriedman, J.W.: Oligopoly and the Theory of Games. North-Holland, Amsterdam (1977)
no DOI — not checkedHaldane, A.G.: Rethinking the financial network. Technical report, Bank of England (2009)
no DOI — not checkedMatsuyama, K.: Complementarities and cumulative processes in models of monopolistic competition. J. Econ. Lit. 33(2), 701–729 (1995)
no DOI — not checkedPalander, T.: Instability in competition between two sellers. In: Abstracts of Papers Presented at the Research Conference on Economics and Statistics held by the Cowles Commission at Colorado College, Colorado College Publications, General Series No. 208, Studies Series No. 21 (1936)
no DOI — not checkedRadi, D., Lamantia, F.: An asset pricing model with heterogeneous beliefs: stubborn versus fickle traders. In: Managing and Modelling of Financial Risks, Belisa Advertising, s.r.o., Hlubinská 32, 702 00 Ostrava, Czech Republic, vol Ostrava, Czech Republic 1st ed. (2018). ISBN 978-80-248-4225-7
no DOI — not checkedVega-Redondo, F.: The evolution of Walrasian behavior. Econom. J. Econ. Soc. 65(2), 375–384 (1997)
What this badge says. CiteStamped means the CHECKABLE references of this
work were clean at the dated check: each resolved to a known work in a public registry, and none
carried a retraction notice at that time. It says nothing about the quality, findings,
or importance of the work itself, and nothing about references deposited without a DOI.
checked 2026-08-09 — re-checked daily as this page is visited; titles and statuses come from Crossref and DataCite and are not part of the signed record
Embed this badge
Both snippets point at the live badge image and link back to this page. The badge re-renders from the daily check, so an embed never goes stale by more than a day of visits.
<a href="https://citestamp.com/citestamped/10.1007/s10203-018-0229-9"><img src="https://citestamp.com/citestamped/10.1007/s10203-018-0229-9/badge.svg" alt="CiteStamped reference-health badge" width="460" height="64"></a>
[](https://citestamp.com/citestamped/10.1007/s10203-018-0229-9)