IDEAS home Printed from https://ideas.repec.org/a/jas/jasssj/2017-132-2.html
   My bibliography  Save this article

Lattice Dynamics of Inequity

Author

Abstract

We discuss a model of inequity based on iteration of the Nash multi-agent bargaining game on a lattice. Agent's choices are based on a logit function and gradual decay of memories of past profits. Numerical simulations demonstrate the stability of various dynamical regimes, such as disorder, fairness or inequity, according to parameters and initial conditions. When playing the game on a lattice i.e. using neighbouring agent interactions instead of random interaction among the whole agent population, one observes spatial domains and specific patterns in addition to the temporal convergence toward attractors observed when interactions involve any pair of agents. A result specific to the network topology is the co-existence of domains with different regimes, allowing the emergence of the inequity condition even in the absence of tags.

Suggested Citation

  • Gérard Weisbuch, 2018. "Lattice Dynamics of Inequity," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 21(1), pages 1-11.
    • Handle: RePEc:jas:jasssj:2017-132-2
    as

    Download full text from publisher

    File URL: https://www.jasss.org/21/1/11/11.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Weisbuch, Gérard, 2018. "Persistence of discrimination: Revisiting Axtell, Epstein and Young," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 39-49.
    2. Young H. P., 1993. "An Evolutionary Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 59(1), pages 145-168, February.
    Full references (including those not matched with items on IDEAS)

    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. Maria Montero & Alex Possajennikov, 2021. "An Adaptive Model of Demand Adjustment in Weighted Majority Games," Games, MDPI, vol. 13(1), pages 1-17, December.
    2. Yuni Xu & Xiang Fu & Xuefeng Chu, 2019. "Analyzing the Impacts of Climate Change on Hydro-Environmental Conflict-Resolution Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(4), pages 1591-1607, March.
    3. Hwang, Sung-Ha & Rey-Bellet, Luc, 2021. "Positive feedback in coordination games: Stochastic evolutionary dynamics and the logit choice rule," Games and Economic Behavior, Elsevier, vol. 126(C), pages 355-373.
    4. Larry E. Blume, 1996. "Population Games," Working Papers 96-04-022, Santa Fe Institute.
    5. Demichelis, Stefano & Ritzberger, Klaus, 2003. "From evolutionary to strategic stability," Journal of Economic Theory, Elsevier, vol. 113(1), pages 51-75, November.
    6. Kandori, Michihiro & Serrano, Roberto & Volij, Oscar, 2008. "Decentralized trade, random utility and the evolution of social welfare," Journal of Economic Theory, Elsevier, vol. 140(1), pages 328-338, May.
    7. In-Koo Cho & Akihiko Matsui, 2012. "A Dynamic Foundation of the Rawlsian Maxmin Criterion," Dynamic Games and Applications, Springer, vol. 2(1), pages 51-70, March.
    8. Peyton Young, H., 1998. "Individual learning and social rationality1," European Economic Review, Elsevier, vol. 42(3-5), pages 651-663, May.
    9. Agranov, Marina & Cotton, Christopher & Tergiman, Chloe, 2020. "Persistence of power: Repeated multilateral bargaining with endogenous agenda setting authority," Journal of Public Economics, Elsevier, vol. 184(C).
    10. Marina Agranov & Christopher Cotton & Chloe Tergiman, 2016. "Persistence Of Power: Repeated Multilateral Bargaining," Working Paper 1374, Economics Department, Queen's University.
    11. McGinn, Kathleen L. & Milkman, Katherine L. & Nöth, Markus, 2012. "Walking the talk in multiparty bargaining: An experimental investigation," Journal of Economic Psychology, Elsevier, vol. 33(1), pages 278-291.
    12. Chongmin Kim & Kam-Chau Wong, 2011. "Evolution of Walrasian equilibrium in an exchange economy," Journal of Evolutionary Economics, Springer, vol. 21(4), pages 619-647, October.
    13. William H. Sandholm, 2001. "Almost global convergence to p-dominant equilibrium," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(1), pages 107-116.
    14. In, Younghwan, 2014. "Fictitious play property of the Nash demand game," Economics Letters, Elsevier, vol. 122(3), pages 408-412.
    15. Binmore, Ken & Piccione, Michele & Samuelson, Larry, 1998. "Evolutionary Stability in Alternating-Offers Bargaining Games," Journal of Economic Theory, Elsevier, vol. 80(2), pages 257-291, June.
    16. Blume, Andreas & Arnold, Tone, 2004. "Learning to communicate in cheap-talk games," Games and Economic Behavior, Elsevier, vol. 46(2), pages 240-259, February.
    17. H. Peyton Young, 2007. "Social Norms," Economics Series Working Papers 307, University of Oxford, Department of Economics.
    18. Noldeke, Georg & Samuelson, Larry, 1997. "A Dynamic Model of Equilibrium Selection in Signaling Markets," Journal of Economic Theory, Elsevier, vol. 73(1), pages 118-156, March.
    19. van Raalte, Chris & Webers, Harry, 1998. "Spatial competition with intermediated matching," Journal of Economic Behavior & Organization, Elsevier, vol. 34(3), pages 477-488, March.
    20. Partha Gangopadhyay, 2000. "On the coase theorem and coalitional stability: the principle of equal relative concession," Theory and Decision, Springer, vol. 48(2), pages 179-191, March.

    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:jas:jasssj:2017-132-2. 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: Francesco Renzini (email available below). General contact details of provider: .

    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.