IDEAS home Printed from https://ideas.repec.org/a/jas/jasssj/2008-16-3.html
   My bibliography  Save this article

Games on Cellular Spaces: How Mobility Affects Equilibrium

Author

Listed:

Abstract

In this work we propose a new model for spatial games. We present a definition of mobility in terms of the satisfaction an agent has with its spatial location. Agents compete for space through a non-cooperative game by using mixed strategies. We are particularly interested in studyig the relation between Nash equilibrium and the winner strategy of a given model with mobility, and how the mobility can affect the results. The experiments show that mobility is an important variable concerning spatial games. When we change parameters that affect mobility, it may lead to the success of strategies away from Nash equilibrium.

Suggested Citation

  • Pedro Ribeiro de Andrade & Antonio Miguel Vieira Monteiro & Gilberto Câmara & Sandra Sandri, 2009. "Games on Cellular Spaces: How Mobility Affects Equilibrium," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 12(1), pages 1-5.
    • Handle: RePEc:jas:jasssj:2008-16-3
    as

    Download full text from publisher

    File URL: https://www.jasss.org/12/1/5/5.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Zhang, Junfu, 2004. "Residential segregation in an all-integrationist world," Journal of Economic Behavior & Organization, Elsevier, vol. 54(4), pages 533-550, August.
    2. Oliveira dos Santos Soares, Ricardo & Martinez, Alexandre Souto, 2006. "The geometrical patterns of cooperation evolution in the spatial prisoner's dilemma: An intra-group model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 823-829.
    3. Kosmidis, Kosmas & Halley, John M. & Argyrakis, Panos, 2005. "Language evolution and population dynamics in a system of two interacting species," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 353(C), pages 595-612.
    4. Cassar, Alessandra, 2007. "Coordination and cooperation in local, random and small world networks: Experimental evidence," Games and Economic Behavior, Elsevier, vol. 58(2), pages 209-230, February.
    5. Robert Axelrod, 1980. "Effective Choice in the Prisoner's Dilemma," Journal of Conflict Resolution, Peace Science Society (International), vol. 24(1), pages 3-25, March.
    6. Joshua M. Epstein, 1997. "Zones of Cooperation in Demographic Prisoner's Dilemma," Working Papers 97-12-094, Santa Fe Institute.
    7. Robert Axelrod, 1980. "More Effective Choice in the Prisoner's Dilemma," Journal of Conflict Resolution, Peace Science Society (International), vol. 24(3), pages 379-403, September.
    8. Francesc S. Beltran & Laura Salas & Vicenç Quera, 2006. "Spatial Behavior in Groups: an Agent-Based Approach," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 9(3), pages 1-5.
    9. Joshua M. Epstein, 1997. "Zones of Cooperation in Demographic Prisoner's Dilemma," Research in Economics 97-12-094e, Santa Fe Institute.
    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. Smaldino, Paul E. & Schank, Jeffrey C., 2012. "Movement patterns, social dynamics, and the evolution of cooperation," Theoretical Population Biology, Elsevier, vol. 82(1), pages 48-58.

    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. Zhang, Huanren, 2018. "Errors can increase cooperation in finite populations," Games and Economic Behavior, Elsevier, vol. 107(C), pages 203-219.
    2. Travers, Henry & Clements, Tom & Keane, Aidan & Milner-Gulland, E.J., 2011. "Incentives for cooperation: The effects of institutional controls on common pool resource extraction in Cambodia," Ecological Economics, Elsevier, vol. 71(C), pages 151-161.
    3. Peter Duersch & Jörg Oechssler & Burkhard Schipper, 2014. "When is tit-for-tat unbeatable?," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(1), pages 25-36, February.
    4. Schimit, P.H.T., 2016. "Evolutionary aspects of spatial Prisoner’s Dilemma in a population modeled by continuous probabilistic cellular automata and genetic algorithm," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 178-188.
    5. Rudolf Vetschera & D. Marc Kilgour, 2013. "Strategic Behavior in Contested-Pile Methods for Fair Division of Indivisible Items," Group Decision and Negotiation, Springer, vol. 22(2), pages 299-319, March.
    6. Jui-Chung Allen Li & Yeh-Chen Chen, 2012. "Personality, Affects, and Forgiving Behavior in Games," Working Papers WR-952, RAND Corporation.
    7. Menezes, Flavio Marques, 1992. "Repeated Games Played by Finite Automata: A Survey," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 12(1), April.
    8. Lucas Kruitwagen & Kaveh Madani & Ben Caldecott & Mark H. W. Workman, 2017. "Game theory and corporate governance: conditions for effective stewardship of companies exposed to climate change risks," Journal of Sustainable Finance & Investment, Taylor & Francis Journals, vol. 7(1), pages 14-36, January.
    9. Dridi, Slimane & Lehmann, Laurent, 2014. "On learning dynamics underlying the evolution of learning rules," Theoretical Population Biology, Elsevier, vol. 91(C), pages 20-36.
    10. Tarik Tazdaït & Alejandro Caparros & Jean-Chrsitophe Péreau, 2008. "Mutual Aid: An Indirect Evolution Analysis," CIRED Working Papers halshs-00275386, HAL.
    11. Lawrence C. Reardon, 2011. "Ideational Learning and the Paradox of Chinese Catholic Reconciliation," Journal of Current Chinese Affairs - China aktuell, Institute of Asian Studies, GIGA German Institute of Global and Area Studies, Hamburg, vol. 40(2), pages 43-70.
    12. Romero, Julian & Rosokha, Yaroslav, 2018. "Constructing strategies in the indefinitely repeated prisoner’s dilemma game," European Economic Review, Elsevier, vol. 104(C), pages 185-219.
    13. Roger Waldeck, 2016. "Modeling criminality: the impact of emotions, norms and interaction structures," Computational and Mathematical Organization Theory, Springer, vol. 22(2), pages 135-160, June.
    14. Jager, Wander & Janssen, Marco A., 2001. "Diffusion processes in demographic transitions: a prospect on using multi agent simulation to explore the role of cognitive strategies and social interactions," Research Report 01B40, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    15. Oliveira, Fernando S. & Costa, Manuel L.G., 2018. "Capacity expansion under uncertainty in an oligopoly using indirect reinforcement-learning," European Journal of Operational Research, Elsevier, vol. 267(3), pages 1039-1050.
    16. Jager, W. & Janssen, M. A. & De Vries, H. J. M. & De Greef, J. & Vlek, C. A. J., 2000. "Behaviour in commons dilemmas: Homo economicus and Homo psychologicus in an ecological-economic model," Ecological Economics, Elsevier, vol. 35(3), pages 357-379, December.
    17. Alejandro Lee-Penagos, 2016. "Learning to Coordinate: Co-Evolution and Correlated Equilibrium," Discussion Papers 2016-11, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    18. Etro, Federico, 2017. "Research in economics and game theory. A 70th anniversary," Research in Economics, Elsevier, vol. 71(1), pages 1-7.
    19. Todd Guilfoos & Andreas Pape, 2016. "Predicting human cooperation in the Prisoner’s Dilemma using case-based decision theory," Theory and Decision, Springer, vol. 80(1), pages 1-32, January.
    20. Michael D. Cohen & Rick L. Riolo & Robert Axelrod, 1999. "The Emergence of Social Organization in the Prisoner's Dilemma: How Context-Preservation and Other Factors Promote Cooperation," Working Papers 99-01-002, Santa Fe Institute.

    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:2008-16-3. 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.