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Evolution of cooperation in networked heterogeneous fluctuating environments

Author

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  • Stojkoski, Viktor
  • Karbevski, Marko
  • Utkovski, Zoran
  • Basnarkov, Lasko
  • Kocarev, Ljupco

Abstract

Fluctuating environments are situations where the spatio-temporal stochasticity plays a significant role in the evolutionary dynamics. The study of the evolution of cooperation in these environments typically assumes a homogeneous, well mixed population, whose constituents are endowed with identical capabilities. In this paper, we generalize these results by developing a systematic study for the cooperation dynamics in fluctuating environments under the consideration of structured, heterogeneous populations with individual entities subjected to general behavioral rules. Considering complex network topologies, and a behavioral rule based on generalized reciprocity, we perform a detailed analysis of the effect of the underlying interaction structure on the evolutionary stability of cooperation. We find that, in the presence of environmental fluctuations, the cooperation dynamics can lead to the creation of multiple network components, each with distinct evolutionary properties. This is paralleled to the freezing state in the Random Energy Model. We utilize this result to examine the applicability of our generalized reciprocity behavioral rule in a variety of settings. We thereby show that the introduced rule leads to steady state cooperative behavior that is always greater than or equal to the one predicted by the evolutionary stability analysis of unconditional cooperation. As a consequence, the implementation of our results may go beyond explaining the evolution of cooperation. In particular, they can be directly applied in domains that deal with the development of artificial systems able to adequately mimic reality, such as reinforcement learning.

Suggested Citation

  • Stojkoski, Viktor & Karbevski, Marko & Utkovski, Zoran & Basnarkov, Lasko & Kocarev, Ljupco, 2021. "Evolution of cooperation in networked heterogeneous fluctuating environments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
    • Handle: RePEc:eee:phsmap:v:572:y:2021:i:c:s037843712100176x
    DOI: 10.1016/j.physa.2021.125904
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    as
    1. Xavier Gabaix & Jean‐Michel Lasry & Pierre‐Louis Lions & Benjamin Moll, 2016. "The Dynamics of Inequality," Econometrica, Econometric Society, vol. 84, pages 2071-2111, November.
    2. Fatih Guvenen, 2007. "Learning Your Earning: Are Labor Income Shocks Really Very Persistent?," American Economic Review, American Economic Association, vol. 97(3), pages 687-712, June.
    3. Liebmann, Thomas & Kassberger, Stefan & Hellmich, Martin, 2017. "Sharing and growth in general random multiplicative environments," European Journal of Operational Research, Elsevier, vol. 258(1), pages 193-206.
    4. Alberto Antonioni & Marco Tomassini, 2011. "Network Fluctuations Hinder Cooperation in Evolutionary Games," PLOS ONE, Public Library of Science, vol. 6(10), pages 1-9, October.
    5. Sapir, Andre & Aghion, Philippe & Bertola, Giuseppe & Hellwig, Martin & Pisani-Ferry, Jean & Rosati, Dariusz & Vinals, Jose & Wallace, Helen, 2004. "An Agenda for a Growing Europe: The Sapir Report," OUP Catalogue, Oxford University Press, number 9780199271498.
    6. 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.
    7. Jillian J Jordan & David G Rand & Samuel Arbesman & James H Fowler & Nicholas A Christakis, 2013. "Contagion of Cooperation in Static and Fluid Social Networks," PLOS ONE, Public Library of Science, vol. 8(6), pages 1-10, June.
    8. G. Yaari & S. Solomon, 2010. "Cooperation evolution in random multiplicative environments," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 73(4), pages 625-632, February.
    9. Stanca, Luca, 2009. "Measuring indirect reciprocity: Whose back do we scratch?," Journal of Economic Psychology, Elsevier, vol. 30(2), pages 190-202, April.
    10. Jean-Philippe Bouchaud & Marc Mezard, 2000. "Wealth condensation in a simple model of economy," Science & Finance (CFM) working paper archive 500026, Science & Finance, Capital Fund Management.
    11. Katrin Hammerschmidt & Caroline J. Rose & Benjamin Kerr & Paul B. Rainey, 2014. "Life cycles, fitness decoupling and the evolution of multicellularity," Nature, Nature, vol. 515(7525), pages 75-79, November.
    12. Behar, Hilla & Brenner, Naama & Louzoun, Yoram, 2014. "Coexistence of productive and non-productive populations by fluctuation-driven spatio-temporal patterns," Theoretical Population Biology, Elsevier, vol. 96(C), pages 20-29.
    13. Francisco C. Santos & Marta D. Santos & Jorge M. Pacheco, 2008. "Social diversity promotes the emergence of cooperation in public goods games," Nature, Nature, vol. 454(7201), pages 213-216, July.
    14. Stojkoski, Viktor & Utkovski, Zoran & André, Elisabeth & Kocarev, Ljupco, 2019. "The role of multiplex network structure in cooperation through generalized reciprocity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    15. Jean-Philippe Bouchaud, 2015. "On growth-optimal tax rates and the issue of wealth inequalities," Papers 1508.00275, arXiv.org, revised Aug 2015.
    16. Bouchaud, Jean-Philippe & Mézard, Marc, 2000. "Wealth condensation in a simple model of economy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 282(3), pages 536-545.
    17. Gokhale, Chaitanya S. & Hauert, Christoph, 2016. "Eco-evolutionary dynamics of social dilemmas," Theoretical Population Biology, Elsevier, vol. 111(C), pages 28-42.
    18. Gur Yaari & Sorin Solomon, 2008. "Cooperation Evolution in Random Multiplicative Environments," Papers 0807.1823, arXiv.org, revised Jan 2010.
    19. Jos'e Moran & Antoine Fosset & Davide Luzzati & Jean-Philippe Bouchaud & Michael Benzaquen, 2020. "By Force of Habit: Self-Trapping in a Dynamical Utility Landscape," Papers 2003.13660, arXiv.org.
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    Cited by:

    1. Viktor Stojkoski & Petar Jolakoski & Arnab Pal & Trifce Sandev & Ljupco Kocarev & Ralf Metzler, 2021. "Income inequality and mobility in geometric Brownian motion with stochastic resetting: theoretical results and empirical evidence of non-ergodicity," Papers 2109.01822, arXiv.org.
    2. Stojkoski, Viktor, 2024. "Measures of physical mixing evaluate the economic mobility of the typical individual," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    3. Liao, Hui-Min & Hao, Qing-Yi & Qian, Jia-Li & Wu, Chao-Yun & Guo, Ning & Ling, Xiang, 2023. "Cooperative evolution under the joint influence of local popularity and global popularity," Applied Mathematics and Computation, Elsevier, vol. 439(C).
    4. Xu, Guiqiong & Meng, Lei, 2023. "A novel algorithm for identifying influential nodes in complex networks based on local propagation probability model," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    5. Li, Xiaopeng & Han, Weiwei & Yang, Wenjun & Wang, Juan & Xia, Chengyi & Li, Hui-jia & Shi, Yong, 2022. "Impact of resource-based conditional interaction on cooperation in spatial social dilemmas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).

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