IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v389y2010i20p4265-4298.html
   My bibliography  Save this article

Evolutionary game theory: Theoretical concepts and applications to microbial communities

Author

Listed:
  • Frey, Erwin

Abstract

Ecological systems are complex assemblies of large numbers of individuals, interacting competitively under multifaceted environmental conditions. Recent studies using microbial laboratory communities have revealed some of the self-organization principles underneath the complexity of these systems. A major role of the inherent stochasticity of its dynamics and the spatial segregation of different interacting species into distinct patterns has thereby been established. It ensures the viability of microbial colonies by allowing for species diversity, cooperative behavior and other kinds of “social” behavior.

Suggested Citation

  • Frey, Erwin, 2010. "Evolutionary game theory: Theoretical concepts and applications to microbial communities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(20), pages 4265-4298.
  • Handle: RePEc:eee:phsmap:v:389:y:2010:i:20:p:4265-4298
    DOI: 10.1016/j.physa.2010.02.047
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437110001743
    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.2010.02.047?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. Bernd Blasius & Amit Huppert & Lewi Stone, 1999. "Complex dynamics and phase synchronization in spatially extended ecological systems," Nature, Nature, vol. 399(6734), pages 354-359, May.
    2. J. Cremer & T. Reichenbach & E. Frey, 2008. "Anomalous finite-size effects in the Battle of the Sexes," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 63(3), pages 373-380, June.
    3. Sonia Kéfi & Max Rietkerk & Concepción L. Alados & Yolanda Pueyo & Vasilios P. Papanastasis & Ahmed ElAich & Peter C. de Ruiter, 2007. "Spatial vegetation patterns and imminent desertification in Mediterranean arid ecosystems," Nature, Nature, vol. 449(7159), pages 213-217, September.
    4. M. Ifti & B. Bergersen, 2004. "Crossover behaviour of 3-species systems with mutations or migrations," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 37(1), pages 101-107, January.
    5. Erez Lieberman & Christoph Hauert & Martin A. Nowak, 2005. "Evolutionary dynamics on graphs," Nature, Nature, vol. 433(7023), pages 312-316, January.
    6. Matsushita, Mitsugu & Fujikawa, Hiroshi, 1990. "Diffusion-limited growth in bacterial colony formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(1), pages 498-506.
    7. B. T. Grenfell & O. N. Bjørnstad & J. Kappey, 2001. "Travelling waves and spatial hierarchies in measles epidemics," Nature, Nature, vol. 414(6865), pages 716-723, December.
    8. Christoph Hauert & Michael Doebeli, 2004. "Spatial structure often inhibits the evolution of cooperation in the snowdrift game," Nature, Nature, vol. 428(6983), pages 643-646, April.
    9. Jeff Gore & Hyun Youk & Alexander van Oudenaarden, 2009. "Snowdrift game dynamics and facultative cheating in yeast," Nature, Nature, vol. 459(7244), pages 253-256, May.
    10. Ben-Jacob, Eshel & Cohen, Inon & Golding, Ido & Gutnick, David L. & Tcherpakov, Marianna & Helbing, Dirk & Ron, Ilan G., 2000. "Bacterial cooperative organization under antibiotic stress," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 282(1), pages 247-282.
    11. Derek A.T. Cummings & Rafael A. Irizarry & Norden E. Huang & Timothy P. Endy & Ananda Nisalak & Kumnuan Ungchusak & Donald S. Burke, 2004. "Travelling waves in the occurrence of dengue haemorrhagic fever in Thailand," Nature, Nature, vol. 427(6972), pages 344-347, January.
    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. Chaitanya Gokhale & Arne Traulsen, 2014. "Evolutionary Multiplayer Games," Dynamic Games and Applications, Springer, vol. 4(4), pages 468-488, December.
    2. Wang, Yijia & Chen, Xiaojie & Wang, Zhijian, 2017. "Testability of evolutionary game dynamics based on experimental economics data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 455-464.
    3. Jorge M Pacheco & Vítor V Vasconcelos & Francisco C Santos & Brian Skyrms, 2015. "Co-evolutionary Dynamics of Collective Action with Signaling for a Quorum," PLOS Computational Biology, Public Library of Science, vol. 11(2), pages 1-12, February.
    4. Thomas Graham & Maria Kleshnina & Jerzy A. Filar, 2023. "Where Do Mistakes Lead? A Survey of Games with Incompetent Players," Dynamic Games and Applications, Springer, vol. 13(1), pages 231-264, March.
    5. Yuval Arbel & Yifat Arbel & Amichai Kerner & Miryam Kerner, 2023. "To obey or not to obey? Can game theory explain human behavior in the context of coronavirus disease?," Review of Development Economics, Wiley Blackwell, vol. 27(2), pages 1078-1091, May.
    6. Ariful Kabir, K.M. & Tanimoto, Jun, 2021. "A cyclic epidemic vaccination model: Embedding the attitude of individuals toward vaccination into SVIS dynamics through social interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).
    7. Verma, Tina & Gupta, Arvind Kumar, 2021. "Evolutionary dynamics of rock-paper-scissors game in the patchy network with mutations," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    8. Szolnoki, Attila & Chen, Xiaojie, 2020. "Strategy dependent learning activity in cyclic dominant systems," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    9. Wang, Chaoqian & Huang, Chaochao, 2022. "Between local and global strategy updating in public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    10. Pigolotti, S. & Benzi, R. & Perlekar, P. & Jensen, M.H. & Toschi, F. & Nelson, D.R., 2013. "Growth, competition and cooperation in spatial population genetics," Theoretical Population Biology, Elsevier, vol. 84(C), pages 72-86.
    11. Lin, XuXun & Yuan, PengCheng, 2018. "A dynamic parking charge optimal control model under perspective of commuters’ evolutionary game behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1096-1110.
    12. Tan, Bing Qing & Kang, Kai & Zhong, Ray Y., 2023. "Electric vehicle charging infrastructure investment strategy analysis: State-owned versus private parking lots," Transport Policy, Elsevier, vol. 141(C), pages 54-71.
    13. Xiaodan Kong & Qi Xu & Tao Zhu, 2019. "Dynamic Evolution of Knowledge Sharing Behavior among Enterprises in the Cluster Innovation Network Based on Evolutionary Game Theory," Sustainability, MDPI, vol. 12(1), pages 1-23, December.
    14. Han, Zhi-Quan & Liu, Tong & Liu, Hua-Feng & Hao, Xiao-Ran & Chen, Wei & Li, Bai-Lian, 2019. "Derivation of species interactions strength in a plant community with game theory," Ecological Modelling, Elsevier, vol. 394(C), pages 27-33.
    15. Jida Liu & Changqi Dong & Shi An & Yanan Guo, 2021. "Research on the Natural Hazard Emergency Cooperation Behavior between Governments and Social Organizations Based on the Hybrid Mechanism of Incentive and Linkage in China," IJERPH, MDPI, vol. 18(24), pages 1-27, December.
    16. Brian McLoone & Wai-Tong Louis Fan & Adam Pham & Rory Smead & Laurence Loewe, 2018. "Stochasticity, Selection, and the Evolution of Cooperation in a Two-Level Moran Model of the Snowdrift Game," Complexity, Hindawi, vol. 2018, pages 1-14, February.
    17. Felix J H Hol & Peter Galajda & Krisztina Nagy & Rutger G Woolthuis & Cees Dekker & Juan E Keymer, 2013. "Spatial Structure Facilitates Cooperation in a Social Dilemma: Empirical Evidence from a Bacterial Community," PLOS ONE, Public Library of Science, vol. 8(10), pages 1-10, October.
    18. Florian Brandl & Felix Brandt, 2021. "A Natural Adaptive Process for Collective Decision-Making," Papers 2103.14351, arXiv.org, revised Mar 2024.
    19. Marco Alberto Javarone, 2016. "Modeling Poker Challenges by Evolutionary Game Theory," Games, MDPI, vol. 7(4), pages 1-10, December.
    20. Zhang, Hao & Wang, Mingyue & Cheng, Zhixuan & Wan, Ling, 2020. "Technology-sharing strategy and incentive mechanism for R&D teams of manufacturing enterprises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).
    21. Bazeia, D. & de Oliveira, B.F. & Silva, J.V.O. & Szolnoki, A., 2020. "Breaking unidirectional invasions jeopardizes biodiversity in spatial May-Leonard systems," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    22. Bazeia, D. & Bongestab, M. & de Oliveira, B.F. & Szolnoki, A., 2021. "Effects of a pestilent species on the stability of cyclically dominant species," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    23. Rongwu Lu & Xinhua Wang & Hao Yu & Dan Li, 2018. "Multiparty Evolutionary Game Model in Coal Mine Safety Management and Its Application," Complexity, Hindawi, vol. 2018, pages 1-10, March.
    24. Xu, Bin & Zhou, Hai-Jun & Wang, Zhijian, 2013. "Cycle frequency in standard Rock–Paper–Scissors games: Evidence from experimental economics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 4997-5005.
    25. Mauro Mobilia & Alastair M. Rucklidge & Bartosz Szczesny, 2016. "The Influence of Mobility Rate on Spiral Waves in Spatial Rock-Paper-Scissors Games," Games, MDPI, vol. 7(3), pages 1-12, September.

    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. Campi, Gaetano & Bianconi, Antonio, 2022. "Periodic recurrent waves of Covid-19 epidemics and vaccination campaign," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    2. Jorge Peña & Bin Wu & Jordi Arranz & Arne Traulsen, 2016. "Evolutionary Games of Multiplayer Cooperation on Graphs," PLOS Computational Biology, Public Library of Science, vol. 12(8), pages 1-15, August.
    3. Du, Faqi & Fu, Feng, 2013. "Quantifying the impact of noise on macroscopic organization of cooperation in spatial games," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 35-44.
    4. Li, Ya & Chen, Shanxiong & Niu, Ben, 2018. "Reward depending on public funds stimulates cooperation in spatial prisoner’s dilemma games," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 38-45.
    5. Jorge Peña & Yannick Rochat, 2012. "Bipartite Graphs as Models of Population Structures in Evolutionary Multiplayer Games," PLOS ONE, Public Library of Science, vol. 7(9), pages 1-13, September.
    6. Zhang, Hui & Wang, Li & Hou, Dongshuang, 2016. "Effect of the spatial autocorrelation of empty sites on the evolution of cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 296-308.
    7. Suresh, R. & Senthilkumar, D.V. & Lakshmanan, M. & Kurths, J., 2016. "Emergence of a common generalized synchronization manifold in network motifs of structurally different time-delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 235-245.
    8. Tetsushi Ohdaira, 2021. "Cooperation evolves by the payoff-difference-based probabilistic reward," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(11), pages 1-8, November.
    9. Qiguang An & Hongfeng Guo & Yating Zheng, 2022. "On Robust Stability and Stabilization of Networked Evolutionary Games with Time Delays," Mathematics, MDPI, vol. 10(15), pages 1-12, July.
    10. Brian McLoone & Wai-Tong Louis Fan & Adam Pham & Rory Smead & Laurence Loewe, 2018. "Stochasticity, Selection, and the Evolution of Cooperation in a Two-Level Moran Model of the Snowdrift Game," Complexity, Hindawi, vol. 2018, pages 1-14, February.
    11. Hong, Lijun & Geng, Yini & Du, Chunpeng & Shen, Chen & Shi, Lei, 2021. "Average payoff-driven or imitation? A new evidence from evolutionary game theory in finite populations," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    12. Goldwyn, Eli E. & Hastings, Alan, 2008. "When can dispersal synchronize populations?," Theoretical Population Biology, Elsevier, vol. 73(3), pages 395-402.
    13. Fabio Della Rossa & Fabio Dercole & Anna Di Meglio, 2020. "Direct Reciprocity and Model-Predictive Strategy Update Explain the Network Reciprocity Observed in Socioeconomic Networks," Games, MDPI, vol. 11(1), pages 1-28, March.
    14. Sarkar, Bijan, 2021. "The cooperation–defection evolution on social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    15. Li, Bin-Quan & Wu, Zhi-Xi & Guan, Jian-Yue, 2022. "Critical thresholds of benefit distribution in an extended snowdrift game model," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    16. Qi Su & Lei Zhou & Long Wang, 2019. "Evolutionary multiplayer games on graphs with edge diversity," PLOS Computational Biology, Public Library of Science, vol. 15(4), pages 1-22, April.
    17. Zhang, Yifan & Shu, Gang & Li, Ya, 2017. "Strategy-updating depending on local environment enhances cooperation in prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 301(C), pages 224-232.
    18. Flávio L Pinheiro & Jorge M Pacheco & Francisco C Santos, 2012. "From Local to Global Dilemmas in Social Networks," PLOS ONE, Public Library of Science, vol. 7(2), pages 1-6, February.
    19. Li, Minlan & Liu, Yan-Ping & Han, Yanyan & Wang, Rui-Wu, 2022. "Environmental heterogeneity unifies the effect of spatial structure on the altruistic cooperation in game-theory paradigms," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    20. Cheng, Jiangjiang & Mei, Wenjun & Su, Wei & Chen, Ge, 2023. "Evolutionary games on networks: Phase transition, quasi-equilibrium, and mathematical principles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 611(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:389:y:2010:i:20:p:4265-4298. 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.