IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v414y2014icp6-18.html
   My bibliography  Save this article

Iterated snowdrift game among mobile agents with myopic expected-reward based decision rule: Numerical and analytical research

Author

Listed:
  • Zhong, Shiquan
  • Jia, Ning
  • Ma, Shoufeng

Abstract

The iterated spatial game among the mobile population is an interesting problem in the fields of biological, social and economic sciences. Inspired by some recent works, this paper concentrates on the iterated snowdrift game among movable and myopic agents. Two different decision-making schemes, namely the utility-maximum rule and the Fermi rule, are applied and examined. In the former case, cooperation is found to be enhanced by moving velocity with an upper bound. The analytical results of the model are deduced at two extreme cases when agents cannot move or move quickly. In the latter case, the influences of velocity and temptation-to-defect are much more complicated. These results allow a deeper insight of the related model as well as the emergence of cooperation.

Suggested Citation

  • Zhong, Shiquan & Jia, Ning & Ma, Shoufeng, 2014. "Iterated snowdrift game among mobile agents with myopic expected-reward based decision rule: Numerical and analytical research," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 6-18.
    • Handle: RePEc:eee:phsmap:v:414:y:2014:i:c:p:6-18
    DOI: 10.1016/j.physa.2014.06.080
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437114005615
    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.2014.06.080?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. A. Szolnoki & M. Perc & G. Szabó, 2008. "Diversity of reproduction rate supports cooperation in the prisoner's dilemma game on complex networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 61(4), pages 505-509, February.
    2. Xu, C. & Hui, P.M. & Zheng, Da-Fang, 2007. "Networking effects on evolutionary snowdrift game in networks with fixed degrees," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 773-780.
    3. Zhang, Jun & Wang, Wei-Ye & Du, Wen-Bo & Cao, Xian-Bin, 2011. "Evolution of cooperation among mobile agents with heterogenous view radii," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2251-2257.
    4. Jia, Ning & Ma, Shoufeng, 2013. "Evolution of cooperation in the snowdrift game among mobile players with random-pairing and reinforcement learning," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(22), pages 5700-5710.
    5. C. P. Roca & J. A. Cuesta & A. Sánchez, 2009. "Promotion of cooperation on networks? The myopic best response case," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 71(4), pages 587-595, October.
    6. 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.
    7. Chen, Zhuo & Gao, Jianxi & Cai, Yunze & Xu, Xiaoming, 2011. "Evolution of cooperation among mobile agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(9), pages 1615-1622.
    8. 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.
    9. L. H. Shang & X. Li & X. F. Wang, 2006. "Cooperative dynamics of snowdrift game on spatial distance-dependent small-world networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 54(3), pages 369-373, December.
    10. Te Wu & Feng Fu & Long Wang, 2011. "Moving Away from Nasty Encounters Enhances Cooperation in Ecological Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 6(11), pages 1-7, November.
    11. M. Sysi-Aho & J. Saramäki & J. Kertész & K. Kaski, 2005. "Spatial snowdrift game with myopic agents," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 44(1), pages 129-135, March.
    12. John V. Leahy, 1993. "Investment in Competitive Equilibrium: The Optimality of Myopic Behavior," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(4), pages 1105-1133.
    13. Liu, Yongkui & Li, Zhi & Chen, Xiaojie & Wang, Long, 2010. "Memory-based prisoner’s dilemma on square lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(12), pages 2390-2396.
    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. Zhang, Lan & Huang, Changwei & Li, Haihong & Dai, Qionglin & Yang, Junzhong, 2021. "Effects of directional migration for pursuit of profitable circumstances in evolutionary games," Chaos, Solitons & Fractals, Elsevier, vol. 144(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. Ye, Wenxing & Fan, Suohai, 2017. "Evolutionary snowdrift game with rational selection based on radical evaluation," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 310-317.
    2. Ye, Wenxing & Feng, Weiying & Lü, Chen & Fan, Suohai, 2017. "Memory-based prisoner’s dilemma game with conditional selection on networks," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 31-37.
    3. Ping Zhu & Guiyi Wei, 2014. "Stochastic Heterogeneous Interaction Promotes Cooperation in Spatial Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-10, April.
    4. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2023. "Restoring spatial cooperation with myopic agents in a three-strategy social dilemma," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    5. Kyle Weishaar & Igor V. Erovenko, 2022. "The Evolution of Cooperation in Two-Dimensional Mobile Populations with Random and Strategic Dispersal," Games, MDPI, vol. 13(3), pages 1-16, May.
    6. Igor V. Erovenko, 2019. "The Evolution of Cooperation in One-Dimensional Mobile Populations with Deterministic Dispersal," Games, MDPI, vol. 10(1), pages 1-12, January.
    7. Ke, Jianhong & Li, Ping-Ping & Lin, Zhenquan, 2022. "Dissatisfaction-driven replicator dynamics of the evolutionary snowdrift game in structured populations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    8. Dong, Yukun & Xu, Hedong & Fan, Suohai, 2019. "Memory-based stag hunt game on regular lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 247-255.
    9. Li, Yan & Ye, Hang, 2015. "Effect of migration based on strategy and cost on the evolution of cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 156-165.
    10. 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.
    11. Zhao, Zhengwu & Zhang, Chunyan, 2023. "The mechanisms of labor division from the perspective of task urgency and game theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    12. Jin, Jiahua & Shen, Chen & Chu, Chen & Shi, Lei, 2017. "Incorporating dominant environment into individual fitness promotes cooperation in the spatial prisoners' dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 70-75.
    13. Zhang, Lan & Huang, Changwei, 2023. "Preferential selection to promote cooperation on degree–degree correlation networks in spatial snowdrift games," Applied Mathematics and Computation, Elsevier, vol. 454(C).
    14. Deng, Zheng-Hong & Huang, Yi-Jie & Gu, Zhi-Yang & Liu, Dan & Gao, Li, 2018. "Multi-games on interdependent networks and the evolution of cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 83-90.
    15. Zha, Jiajing & Li, Cong & Fan, Suohai, 2022. "The effect of stability-based strategy updating on cooperation in evolutionary social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    16. Yu, Fengyuan & Wang, Jianwei & He, Jialu, 2022. "Inequal dependence on members stabilizes cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    17. 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.
    18. Jin, Jiahua & Chu, Chen & Shen, Chen & Guo, Hao & Geng, Yini & Jia, Danyang & Shi, Lei, 2018. "Heterogeneous fitness promotes cooperation in the spatial prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 141-146.
    19. Yongkui Liu & Xiaojie Chen & Lin Zhang & Long Wang & Matjaž Perc, 2012. "Win-Stay-Lose-Learn Promotes Cooperation in the Spatial Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 7(2), pages 1-8, February.
    20. Li, Haihong & Dai, Qionglin & Cheng, Hongyan & Yang, Junzhong, 2012. "Cooperation in an evolutionary prisoner’s dilemma game with probabilistic strategies," Chaos, Solitons & Fractals, Elsevier, vol. 45(11), pages 1397-1403.

    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:414:y:2014:i:c:p:6-18. 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.