IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v464y2016icp27-53.html
   My bibliography  Save this article

Equation-free analysis of agent-based models and systematic parameter determination

Author

Listed:
  • Thomas, Spencer A.
  • Lloyd, David J.B.
  • Skeldon, Anne C.

Abstract

Agent based models (ABM)s are increasingly used in social science, economics, mathematics, biology and computer science to describe time dependent systems in circumstances where a description in terms of equations is difficult. Yet few tools are currently available for the systematic analysis of ABM behaviour. Numerical continuation and bifurcation analysis is a well-established tool for the study of deterministic systems. Recently, equation-free (EF) methods have been developed to extend numerical continuation techniques to systems where the dynamics are described at a microscopic scale and continuation of a macroscopic property of the system is considered. To date, the practical use of EF methods has been limited by; (1) the over-head of application-specific implementation; (2) the laborious configuration of problem-specific parameters; and (3) large ensemble sizes (potentially) leading to computationally restrictive run-times.

Suggested Citation

  • Thomas, Spencer A. & Lloyd, David J.B. & Skeldon, Anne C., 2016. "Equation-free analysis of agent-based models and systematic parameter determination," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 464(C), pages 27-53.
    • Handle: RePEc:eee:phsmap:v:464:y:2016:i:c:p:27-53
    DOI: 10.1016/j.physa.2016.07.043
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437116304745
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2016.07.043?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. Lee, Ju-Sung & Filatova, Tatiana & Ligmann-Zielinska, Arika & Hassani-Mahmooei, Behrooz & Stonedahl, Forrest & Lorscheid, Iris & Voinov, Alexey & Polhill, J. Gareth & Sun, Zhanli & Parker, Dawn C., 2015. "The complexities of agent-based modeling output analysis," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 18(4).
    2. Lima, F.W.S. & Hadzibeganovic, Tarik & Stauffer, Dietrich, 2009. "Evolution of ethnocentrism on undirected and directed Barabási–Albert networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(24), pages 4999-5004.
    3. Martin A. Nowak & Karl Sigmund, 1998. "Evolution of indirect reciprocity by image scoring," Nature, Nature, vol. 393(6685), pages 573-577, June.
    4. Jan C. Thiele & Winfried Kurth & Volker Grimm, 2014. "Facilitating Parameter Estimation and Sensitivity Analysis of Agent-Based Models: A Cookbook Using NetLogo and 'R'," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 17(3), pages 1-11.
    5. M.A. Nowak & K. Sigmund, 1998. "Evolution of Indirect Reciprocity by Image Scoring/ The Dynamics of Indirect Reciprocity," Working Papers ir98040, International Institute for Applied Systems Analysis.
    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. Radosavljevic, Sonja & Sanga, Udita & Schlüter, Maja, 2024. "Navigating simplicity and complexity of social-ecological systems through a dialogue between dynamical systems and agent-based models," Ecological Modelling, Elsevier, vol. 495(C).

    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. Laird, Robert A. & Goyal, Dipankar & Yazdani, Soroosh, 2013. "Geometry of ‘standoffs’ in lattice models of the spatial Prisoner’s Dilemma and Snowdrift games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3622-3633.
    2. Carattini, Stefano & Gillingham, Kenneth & Meng, Xiangyu & Yoeli, Erez, 2024. "Peer-to-peer solar and social rewards: Evidence from a field experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 219(C), pages 340-370.
    3. Wang, Chengjiang & Wang, Li & Wang, Juan & Sun, Shiwen & Xia, Chengyi, 2017. "Inferring the reputation enhances the cooperation in the public goods game on interdependent lattices," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 18-29.
    4. Frauke von Bieberstein & Andrea Essl & Kathrin Friedrich, 2021. "Empathy: A clue for prosocialty and driver of indirect reciprocity," PLOS ONE, Public Library of Science, vol. 16(8), pages 1-15, August.
    5. Cubitt, Robin P. & Drouvelis, Michalis & Gächter, Simon & Kabalin, Ruslan, 2011. "Moral judgments in social dilemmas: How bad is free riding?," Journal of Public Economics, Elsevier, vol. 95(3), pages 253-264.
    6. Deng, Zhenghong & Wang, Shengnan & Gu, Zhiyang & Xu, Juwei & Song, Qun, 2017. "Heterogeneous preference selection promotes cooperation in spatial prisoners’ dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 100(C), pages 20-23.
    7. Liang, Pinghan & Meng, Juanjuan, 2016. "Favor transmission and social image concern: An experimental study," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 63(C), pages 14-21.
    8. Lv, Shaojie & Wang, Xianjia, 2020. "The impact of heterogeneous investments on the evolution of cooperation in public goods game with exclusion," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    9. Shen, Chen & Li, Xiaoping & Shi, Lei & Deng, Zhenghong, 2017. "Asymmetric evaluation promotes cooperation in network population," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 391-397.
    10. Ben-Ner, Avner & Putterman, Louis & Kong, Fanmin & Magan, Dan, 2004. "Reciprocity in a two-part dictator game," Journal of Economic Behavior & Organization, Elsevier, vol. 53(3), pages 333-352, March.
    11. Marco Casari, 2002. "Can genetic algorithms explain experimental anomalies? An application to common property resources," UFAE and IAE Working Papers 542.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    12. Yue Song & Yun Huang & Yunqing Shi & Fenglin Zang, 2023. "How Prospective Direct and Indirect Reciprocity Influence 4- to 6-Year-Old’s Sharing," Journal of Educational and Developmental Psychology, Canadian Center of Science and Education, vol. 13(2), pages 1-9, November.
    13. Lamperti, Francesco & Roventini, Andrea & Sani, Amir, 2018. "Agent-based model calibration using machine learning surrogates," Journal of Economic Dynamics and Control, Elsevier, vol. 90(C), pages 366-389.
    14. Casari, Marco, 2008. "Markets in equilibrium with firms out of equilibrium: A simulation study," Journal of Economic Behavior & Organization, Elsevier, vol. 65(2), pages 261-276, February.
    15. Giorgio Fagiolo & Mattia Guerini & Francesco Lamperti & Alessio Moneta & Andrea Roventini, 2017. "Validation of Agent-Based Models in Economics and Finance," LEM Papers Series 2017/23, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    16. Bigoni, Maria & Camera, Gabriele & Casari, Marco, 2020. "Money is more than memory," Journal of Monetary Economics, Elsevier, vol. 110(C), pages 99-115.
    17. Lu, Wen & Liang, Shu, 2023. "Direct emotional interaction in prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    18. Hu, Menglong & Wang, Juan & Kong, Lingcong & An, Kang & Bi, Tao & Guo, Baohong & Dong, Enzeng, 2015. "Incorporating the information from direct and indirect neighbors into fitness evaluation enhances the cooperation in the social dilemmas," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 47-52.
    19. Gaudeul, Alexia & Keser, Claudia & Müller, Stephan, 2021. "The evolution of morals under indirect reciprocity," Games and Economic Behavior, Elsevier, vol. 126(C), pages 251-277.
    20. Arefin, Md. Rajib & Tanimoto, Jun, 2024. "Coupling injunctive social norms with evolutionary games," Applied Mathematics and Computation, Elsevier, vol. 466(C).

    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:eee:phsmap:v:464:y:2016:i:c:p:27-53. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.