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Robustness of Membrane Formation in a Spatial Prisoner’s Dilemma with a Spatial Generosity

  • Conference paper
Knowledge-Based and Intelligent Information and Engineering Systems (KES 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6884))

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Abstract

Cooperation that emerges in organizations plays a crucial role in organizing society. Cooperation is exemplified by altruistic behavior. However, natural selection favors defection and prevents promotion of cooperation if mechanisms are not built in. Earlier studies proposed models based on game theory to explain cooperation found in biological systems and social systems. A Spatial Prisoner’s Dilemma is a spatial version of the Prisoner’s Dilemma. SPD is used to investigate maintenance mechanism of cooperation. Further they studied mechanisms for protecting cooperators’ cluster incorporating a spatial strategy and a spatial generosity. This paper reports the robustness of membrane formation. That is, membrane emerges no matter which lattice (square or hexagonal) which neighborhood (von Neumann or Moore) is used.

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References

  1. Axelod, R.: The Evolution of Cooperation. Basic Books, New York (1984)

    Google Scholar 

  2. Hauert, C., Doeveli, M.: Spatial structure often inhibits the evolution of cooperation in the spatial Snowdrift game. Nature 428, 643–646 (2004)

    Article  Google Scholar 

  3. Ishida, Y., Katsumata, Y.: A Note on Space-Time Interplay through Generosity in a Membrane Formation with Spatial Prisoner’s Dilemma. In: Lovrek, I., Howlett, R.J., Jain, L.C. (eds.) KES 2008, Part III. LNCS (LNAI), vol. 5179, pp. 448–455. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  4. Ishida, Y., Mori, T.: Spatial strategies in a generalized spatial prisoner’s dilemma. J. Artificial Life and Robotics 9, 139–143 (2005)

    Article  Google Scholar 

  5. Katsumata, Y., Ishida, Y.: On a Membrane Formation in a Spatio-temporally Generalized Prisoner’s Dilemma. In: Umeo, H., Morishita, S., Nishinari, K., Komatsuzaki, T., Bandini, S. (eds.) ACRI 2008. LNCS, vol. 5191, pp. 60–66. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  6. McNamara, J.M., Barta, Z., Houston, A.I.: Variation in behavior promotes cooperation in the Prisoner’s Dilemma game. Nature 428, 745–748 (2004)

    Article  Google Scholar 

  7. Nowak, M.A., May, R.M.: Evolutionary games and chaos. Nature 359, 826–829 (1992)

    Article  Google Scholar 

  8. Nowak, M.A., May, R.M.: The spatial dilemmas of evolution. Int. J. Bufurc. Chaos 3, 35–78 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  9. Nowak, M.A.: Five Rules for the Evolution of Cooperation. Science 314, 1560–1563 (2006)

    Article  Google Scholar 

  10. Ohtsuki, H., Hauert, C., Lieberman, E., Nowak, M.A.: A simple rule for the evolution of cooperation on graphs and social networks. Nature 441, 502–505 (2006)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Electronic and Information Engineering, Toyohashi University of Technology, Hibarigaoka 1-1, Tempaku, Toyohashi, Aichi, 441-8580, Japan

    Yuji Katsumata & Yoshiteru Ishida

Authors
  1. Yuji Katsumata
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  2. Yoshiteru Ishida
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Editor information

Editors and Affiliations

  1. Institute of Integrated Sensor Systems, University of Kaiserslautern, Erwin-Schroedinger-str. 12, 67663, Kaiserslautern, Germany

    Andreas König

  2. Knowledge-Based Systems Group, Department of Computer Science, University of Kaiserslautern, P.O. Box 3049, 67653, Kaiserslautern, Germany

    Andreas Dengel

  3. School of Business, University of Applied Sciences Northwestern Switzerland, Riggenbachstr. 16, 4600, Olten, Switzerland

    Knut Hinkelmann

  4. Graduate School of Engineering, Osaka Prefecture University, 1-1 Gakuen-cho, 599-8531, Sakai, Osaka, Japan

    Koichi Kise

  5. KES International, P.O. Box 2115, BN43 9AF, Shoreham-by-sea, UK

    Robert J. Howlett

  6. University of South Australia, Adelaide, 5095, Mawson Lakes, SA, Australia

    Lakhmi C. Jain

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© 2011 Springer-Verlag Berlin Heidelberg

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Katsumata, Y., Ishida, Y. (2011). Robustness of Membrane Formation in a Spatial Prisoner’s Dilemma with a Spatial Generosity. In: König, A., Dengel, A., Hinkelmann, K., Kise, K., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based and Intelligent Information and Engineering Systems. KES 2011. Lecture Notes in Computer Science(), vol 6884. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23866-6_35

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  • DOI: https://doi.org/10.1007/978-3-642-23866-6_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23865-9

  • Online ISBN: 978-3-642-23866-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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