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Dynamic peer-to-peer competition

Author

Listed:
  • Caram, L.F.
  • Caiafa, C.F.
  • Proto, A.N.
  • Ausloos, M.

Abstract

The dynamic behavior of a multiagent system in which the agent size si is variable it is studied along a Lotka–Volterra approach. The agent size has hereby the meaning of the fraction of a given market that an agent is able to capture (market share). A Lotka–Volterra system of equations for prey–predator problems is considered, the competition factor being related to the difference in size between the agents in a one-on-one competition. This mechanism introduces a natural self-organized dynamic competition among agents. In the competition factor, a parameter σ is introduced for scaling the intensity of agent size similarity, which varies in each iteration cycle. The fixed points of this system are analytically found and their stability analyzed for small systems (with n=5 agents). We have found that different scenarios are possible, from chaotic to non-chaotic motion with cluster formation as function of the σ parameter and depending on the initial conditions imposed to the system. The present contribution aim is to show how a realistic though minimalist nonlinear dynamics model can be used to describe the market competition (companies, brokers, decision makers) among other opinion maker communities.

Suggested Citation

  • Caram, L.F. & Caiafa, C.F. & Proto, A.N. & Ausloos, M., 2010. "Dynamic peer-to-peer competition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(13), pages 2628-2636.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:13:p:2628-2636
    DOI: 10.1016/j.physa.2010.02.032
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    Citations

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    Cited by:

    1. Manahov, Viktor & Hudson, Robert, 2013. "Herd behaviour experimental testing in laboratory artificial stock market settings. Behavioural foundations of stylised facts of financial returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4351-4372.
    2. Vitanov, Nikolay K. & Dimitrova, Zlatinka I. & Ausloos, Marcel, 2010. "Verhulst–Lotka–Volterra (VLV) model of ideological struggle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4970-4980.
    3. Zhao, Jiuhua & Liu, Qipeng & Wang, Lin & Wang, Xiaofan, 2017. "Competitive seeds-selection in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 240-248.
    4. Ismo T. Koponen & Maija Nousiainen, 2018. "An Agent-Based Model of Discourse Pattern Formation in Small Groups of Competing and Cooperating Members," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 21(2), pages 1-1.
    5. Marcel Ausloos & Herbert Dawid & Ugo Merlone, 2015. "Spatial Interactions in Agent-Based Modeling," Dynamic Modeling and Econometrics in Economics and Finance, in: Pasquale Commendatore & Saime Kayam & Ingrid Kubin (ed.), Complexity and Geographical Economics, edition 127, pages 353-377, Springer.
    6. Marcel Ausloos, 2013. "Econophysics: Comments on a Few Applications, Successes, Methods and Models," IIM Kozhikode Society & Management Review, , vol. 2(2), pages 101-115, July.
    7. Stefani, Silvana & Ausloos, Marcel & González-Concepción, Concepción & Sonubi, Adeyemi & Gil-Fariña, Ma Candelaria & Pestano-Gabino, Celina & Moretto, Enrico, 2021. "Competing or collaborating, with no symmetrical behaviour: Leadership opportunities and winning strategies under stability," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 489-504.

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