IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v363y2006i1p151-158.html
   My bibliography  Save this article

Pair formation within multi-agent populations

Author

Listed:
  • Smith, David M.D.
  • Johnson, Neil F.

Abstract

We present a simple model for the formation of pairs in multi-agent populations of type A and B which move freely on a spatial network. Each agent of population A (and B) is labeled as Ai (and Bj) with i=1,...,NA (and j=1,...,NB) and carries its own individual list of characteristics or ‘phenotype’. When agents from opposite populations encounter one another on the network, they can form a relationship if not already engaged in one. The length of time for which any given pair stays together depends on the compatibility of the two constituent agents. Possible applications include the human dating scenario, and the commercial domain where two types of businesses A and B have members of each type looking for a business partner, i.e., Ai+Bj→Rij. The pair Rij then survives for some finite time before dissociating Rij→Ai+Bj. There are many possible generalizations of this basic setup. Here, we content ourselves with some initial numerical results for the simplest of network topologies, together with some accompanying analytic analysis.

Suggested Citation

  • Smith, David M.D. & Johnson, Neil F., 2006. "Pair formation within multi-agent populations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(1), pages 151-158.
  • Handle: RePEc:eee:phsmap:v:363:y:2006:i:1:p:151-158
    DOI: 10.1016/j.physa.2006.01.056
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437106001002
    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.2006.01.056?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. Caldarelli, G. & Capocci, A., 2001. "Beauty and distance in the stable marriage problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 300(1), pages 325-331.
    2. Johnson, Neil F. & Jefferies, Paul & Hui, Pak Ming, 2003. "Financial Market Complexity," OUP Catalogue, Oxford University Press, number 9780198526650.
    3. Caldarelli, Guido & Capocci, Andrea & Laureti, Paolo, 2001. "Sex-oriented stable matchings of the marriage problem with correlated and incomplete information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(1), pages 268-272.
    4. Robert Axtell, 1999. "The Emergence of Firms in a Population of Agents," Working Papers 99-03-019, Santa Fe Institute.
    Full references (including those not matched with items on IDEAS)

    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. Schüssler, Reinhard & Seidel, Christian, 2010. "Gale Shapley auf dem Arbeitsmarkt," EconStor Preprints 55829, ZBW - Leibniz Information Centre for Economics.
    2. Tobias Galla & David Sherrington, 2005. "Stationary states of a spherical Minority Game with ergodicity breaking," Papers cond-mat/0508413, arXiv.org, revised Aug 2005.
    3. Joshua M. Epstein, 2007. "Agent-Based Computational Models and Generative Social Science," Introductory Chapters, in: Generative Social Science Studies in Agent-Based Computational Modeling, Princeton University Press.
    4. Lim, Gyuchang & Kim, SooYong & Kim, Junghwan & Kim, Pyungsoo & Kang, Yoonjong & Park, Sanghoon & Park, Inho & Park, Sang-Bum & Kim, Kyungsik, 2009. "Structure of a financial cross-correlation matrix under attack," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(18), pages 3851-3858.
    5. V. Alfi & L. Pietronero & A. Zaccaria, 2008. "Minimal Agent Based Model For The Origin And Self-Organization Of Stylized Facts In Financial Markets," Papers 0807.1888, arXiv.org.
    6. Gou, Chengling & Guo, Xiaoqian & Chen, Fang, 2008. "Study on system dynamics of evolutionary mix-game models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(25), pages 6353-6359.
    7. James Boudreau & Vicki Knoblauch, 2013. "Preferences and the price of stability in matching markets," Theory and Decision, Springer, vol. 74(4), pages 565-589, April.
    8. Pištěk, Miroslav & Slanina, František, 2011. "Diversity of scales makes an advantage: The case of the Minority Game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(13), pages 2549-2561.
    9. E. M. Parilina & A. Tampieri, 2013. "Marriage Formation with Assortative Meeting as a Two-Sided Optimal Stopping Problem," Working Papers wp886, Dipartimento Scienze Economiche, Universita' di Bologna.
    10. Li, Da-Ye & Nishimura, Yusaku & Men, Ming, 2014. "Fractal markets: Liquidity and investors on different time horizons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 144-151.
    11. Moews, Ben & Ibikunle, Gbenga, 2020. "Predictive intraday correlations in stable and volatile market environments: Evidence from deep learning," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    12. Ferreira, Fernando F. & de Oliveira, Viviane M. & Crepaldi, Antônio F. & Campos, Paulo R.A., 2005. "Agent-based model with heterogeneous fundamental prices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 357(3), pages 534-542.
    13. Oldham, Matthew, 2020. "Quantifying the concerns of Dimon and Buffett with data and computation," Journal of Economic Dynamics and Control, Elsevier, vol. 113(C).
    14. Ted Theodosopoulos, 2004. "Uncertainty relations in models of market microstructure," Papers math/0409076, arXiv.org, revised Feb 2005.
    15. A. Garcia-Bernabeu & J. V. Salcedo & A. Hilario & D. Pla-Santamaria & Juan M. Herrero, 2019. "Computing the Mean-Variance-Sustainability Nondominated Surface by ev-MOGA," Complexity, Hindawi, vol. 2019, pages 1-12, December.
    16. Kostanjcar, Zvonko & Jeren, Branko & Juretic, Zeljan, 2012. "Impact of uncertainty in expected return estimation on stock price volatility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5563-5571.
    17. Ni, Y.C. & Xu, C. & Hui, P.M. & Johnson, N.F., 2009. "Cooperative behavior in evolutionary snowdrift game with bounded rationality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(23), pages 4856-4862.
    18. Ortega, Josué, 2018. "Social integration in two-sided matching markets," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 119-126.
    19. Niu, Hongli & Wang, Jun, 2017. "Return volatility duration analysis of NYMEX energy futures and spot," Energy, Elsevier, vol. 140(P1), pages 837-849.
    20. Strozzi, Fernanda & Zaldívar, José-Manuel & Zbilut, Joseph P., 2007. "Recurrence quantification analysis and state space divergence reconstruction for financial time series analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 376(C), pages 487-499.

    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:363:y:2006:i:1:p:151-158. 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.