IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v543y2020ics0378437119319788.html
   My bibliography  Save this article

Dynamics of asymmetric division of labor game with environmental feedback

Author

Listed:
  • Qin, Shipeng
  • Zhang, Gang
  • Tian, Haiyan
  • Hu, Wenjun
  • Zhang, Xiaoming

Abstract

This paper investigates asymmetric division of labor game with environmental feedback, in which players have innate returns provided by rich patch and nothing by poor patch. An imitative dynamical model is proposed and some sufficient conditions for stability of equilibria are derived. The conditions of stability depend exclusively on costs of strategies, benefit of cooperation and weighted benefit of player in rich patch. Theoretical results are supported by numerical experiments. Furthermore, the frequency of each strategy in different patches is obtained by numerical simulation.

Suggested Citation

  • Qin, Shipeng & Zhang, Gang & Tian, Haiyan & Hu, Wenjun & Zhang, Xiaoming, 2020. "Dynamics of asymmetric division of labor game with environmental feedback," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 543(C).
    • Handle: RePEc:eee:phsmap:v:543:y:2020:i:c:s0378437119319788
    DOI: 10.1016/j.physa.2019.123550
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119319788
    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.2019.123550?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. Liu, Jinzhuo & Meng, Haoran & Wang, Wei & Xie, Zhongwen & Yu, Qian, 2019. "Evolution of cooperation on independent networks: The influence of asymmetric information sharing updating mechanism," Applied Mathematics and Computation, Elsevier, vol. 340(C), pages 234-241.
    2. Veller, Carl & Hayward, Laura K., 2016. "Finite-population evolution with rare mutations in asymmetric games," Journal of Economic Theory, Elsevier, vol. 162(C), pages 93-113.
    3. Becker, Gary S, 1985. "Human Capital, Effort, and the Sexual Division of Labor," Journal of Labor Economics, University of Chicago Press, vol. 3(1), pages 33-58, January.
    4. Nesrine Ben Khalifa & Rachid El-Azouzi & Yezekael Hayel & Issam Mabrouki, 2017. "Evolutionary Games in Interacting Communities," Dynamic Games and Applications, Springer, vol. 7(2), pages 131-156, June.
    5. Alós-Ferrer, Carlos & Netzer, Nick, 2010. "The logit-response dynamics," Games and Economic Behavior, Elsevier, vol. 68(2), pages 413-427, March.
    6. Hommes, Cars H. & Ochea, Marius I., 2012. "Multiple equilibria and limit cycles in evolutionary games with Logit Dynamics," Games and Economic Behavior, Elsevier, vol. 74(1), pages 434-441.
    7. Philip J. Reny & Shmuel Zamir, 2004. "On the Existence of Pure Strategy Monotone Equilibria in Asymmetric First-Price Auctions," Econometrica, Econometric Society, vol. 72(4), pages 1105-1125, July.
    8. Zhu, Lirong & Chen, Jiawei & Di, Zengru & Chen, Liujun & Liu, Yan & Stanley, H. Eugene, 2017. "The mechanisms of labor division from the perspective of individual optimization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 488(C), pages 112-120.
    9. Platkowski, Tadeusz & Zakrzewski, Jan, 2011. "Asymptotically stable equilibrium and limit cycles in the Rock–Paper–Scissors game in a population of players with complex personalities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4219-4226.
    10. Hu, Wenjun & Zhang, Gang & Tian, Haiyan, 2019. "The stability of imitation dynamics with discrete distributed delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 218-224.
    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. Yuan, Hairui & Meng, Xinzhu, 2022. "Replicator dynamics of division of labor games with delayed payoffs in infinite populations," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    2. 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).

    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. Wenjun Hu & Haiyan Tian & Gang Zhang, 2019. "Bifurcation Analysis of Three-Strategy Imitative Dynamics with Mutations," Complexity, Hindawi, vol. 2019, pages 1-8, October.
    2. Marta C. Couto & Saptarshi Pal, 2023. "Introspection Dynamics in Asymmetric Multiplayer Games," Dynamic Games and Applications, Springer, vol. 13(4), pages 1256-1285, December.
    3. Umezuki, Yosuke, 2018. "Bifurcation analysis of the rock–paper–scissors game with discrete-time logit dynamics," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 54-65.
    4. Ochea, Marius-Ionut, 2013. "Evolution of repeated prisoner's dilemma play under logit dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2483-2499.
    5. Kukla, Elżbieta & Płatkowski, Tadeusz, 2013. "Onset of limit cycles in population games with attractiveness driven strategy choice," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 77-82.
    6. Gauri, Dinesh Kumar & Trivedi, Minakshi & Grewal, Dhruv, 2008. "Understanding the Determinants of Retail Strategy: An Empirical Analysis," Journal of Retailing, Elsevier, vol. 84(3), pages 256-267.
    7. Jennifer Roberts & Karl Taylor, 2017. "Intra-household commuting choices and local labour markets," Oxford Economic Papers, Oxford University Press, vol. 69(3), pages 734-757.
    8. Maria Kravtsova & Aleksey Oshchepkov, 2019. "Market And Network Corruption," HSE Working papers WP BRP 209/EC/2019, National Research University Higher School of Economics.
    9. Yongsung Chang & Mark Bils, 2002. "Cyclical Movements in Hours and Effort under Sticky Wages," Macroeconomics 0204004, University Library of Munich, Germany.
    10. Benjamin Bennett & Isil Erel & Léa H. Stern & Zexi Wang, 2020. "Paid Leave Pays Off: The Effects of Paid Family Leave on Firm Performance," NBER Working Papers 27788, National Bureau of Economic Research, Inc.
    11. Katie Meara & Francesco Pastore & Allan Webster, 2020. "The gender pay gap in the USA: a matching study," Journal of Population Economics, Springer;European Society for Population Economics, vol. 33(1), pages 271-305, January.
    12. Julie Vinck & Idunn Brekke, 2019. "Gender and education inequalities in parental employment when having a young child with increased care needs: Belgium and Norway compared," Working Papers 1904, Herman Deleeck Centre for Social Policy, University of Antwerp.
    13. Zhang, Boyu & Hofbauer, Josef, 2016. "Quantal response methods for equilibrium selection in 2×2 coordination games," Games and Economic Behavior, Elsevier, vol. 97(C), pages 19-31.
    14. Daniela Andrén & Thomas Andrén, 2015. "Gender and occupational wage gaps in Romania: from planned equality to market inequality?," IZA Journal of European Labor Studies, Springer;Forschungsinstitut zur Zukunft der Arbeit GmbH (IZA), vol. 4(1), pages 1-27, December.
    15. Stefania Albanesi & Claudia Olivetti, 2006. "Gender roles and technological progress," 2006 Meeting Papers 411, Society for Economic Dynamics.
    16. Charles Z. Zheng, 2014. "Existence of Monotone Equilibria in First-Price Auctions with Resale," University of Western Ontario, Economic Policy Research Institute Working Papers 20141, University of Western Ontario, Economic Policy Research Institute.
    17. Sumit Agarwal & Richard K. Green & Eric Rosenblatt & Vincent Yao & Jian Zhang, 2015. "Who Bears the Pen? Relative Income and Gender Gap in Mortgage Signing Order," Working Paper 9475, USC Lusk Center for Real Estate.
    18. Jun Honda, 2015. "Games with the Total Bandwagon Property," Department of Economics Working Papers wuwp197, Vienna University of Economics and Business, Department of Economics.
    19. Thorsten Konietzko, 2015. "Self-Employed Individuals, Time Use, and Earnings," Journal of Family and Economic Issues, Springer, vol. 36(1), pages 64-83, March.
    20. Philippe Adair & Hassiba Gherbi, 2020. "The Youth Gender gap in North Africa: Income differentials and Informal Employment," Erudite Working Paper 2020-06, Erudite.

    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:543:y:2020:i:c:s0378437119319788. 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.