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Ignorance Is Bliss, But for Whom? The Persistent Effect of Good Will on Cooperation

Author

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  • Mike Farjam

    (Faculty of Social Sciences, Linnaeus University, Växjö 35195, Sweden)

  • Wladislaw Mill

    (School of Economics, University Jena, Jena 07743, Germany)

  • Marian Panganiban

    (Max Planck Institute for Research on Collective Goods, Bonn 53113, Germany)

Abstract

Who benefits from the ignorance of others? We address this question from the point of view of a policy maker who can induce some ignorance into a system of agents competing for resources. Evolutionary game theory shows that when unconditional cooperators or ignorant agents compete with defectors in two-strategy settings, unconditional cooperators get exploited and are rendered extinct. In contrast, conditional cooperators, by utilizing some kind of reciprocity, are able to survive and sustain cooperation when competing with defectors. We study how cooperation thrives in a three-strategy setting where there are unconditional cooperators, conditional cooperators and defectors. By means of simulation on various kinds of graphs, we show that conditional cooperators benefit from the existence of unconditional cooperators in the majority of cases. However, in worlds that make cooperation hard to evolve, defectors benefit.

Suggested Citation

  • Mike Farjam & Wladislaw Mill & Marian Panganiban, 2016. "Ignorance Is Bliss, But for Whom? The Persistent Effect of Good Will on Cooperation," Games, MDPI, vol. 7(4), pages 1-19, October.
  • Handle: RePEc:gam:jgames:v:7:y:2016:i:4:p:33-:d:81426
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    References listed on IDEAS

    as
    1. Imhof, Lorens & Nowak, Martin & Fudenberg, Drew, 2007. "Tit-for-Tat or Win-Stay, Lose-Shift?," Scholarly Articles 3200671, Harvard University Department of Economics.
    2. Mike Farjam & Marco Faillo & Ida Sprinkhuizen-Kuyper & Pim Haselager, 2015. "Punishment Mechanisms and Their Effect on Cooperation: A Simulation Study," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 18(1), pages 1-5.
    3. Jason Olejarz & Whan Ghang & Martin A. Nowak, 2015. "Indirect Reciprocity with Optional Interactions and Private Information," Games, MDPI, vol. 6(4), pages 1-20, September.
    4. Juan D. Carrillo & Thomas Mariotti, 2000. "Strategic Ignorance as a Self-Disciplining Device," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 529-544.
    5. Serguei Saavedra & David Smith & Felix Reed-Tsochas, 2010. "Cooperation under Indirect Reciprocity and Imitative Trust," PLOS ONE, Public Library of Science, vol. 5(10), pages 1-6, October.
    6. Grossman, Zachary & van der Weele, Joël, 2013. "Self-Image and Strategic Ignorance in Moral Dilemmas," University of California at Santa Barbara, Economics Working Paper Series qt0bp6z29t, Department of Economics, UC Santa Barbara.
    7. Martin A. Nowak & Karl Sigmund, 1998. "Evolution of indirect reciprocity by image scoring," Nature, Nature, vol. 393(6685), pages 573-577, June.
    8. M.A. Nowak & K. Sigmund, 1998. "Evolution of Indirect Reciprocity by Image Scoring/ The Dynamics of Indirect Reciprocity," Working Papers ir98040, International Institute for Applied Systems Analysis.
    9. Martin A. Nowak & Karl Sigmund, 2005. "Evolution of indirect reciprocity," Nature, Nature, vol. 437(7063), pages 1291-1298, October.
    10. Christoph Hauert & Michael Doebeli, 2004. "Spatial structure often inhibits the evolution of cooperation in the snowdrift game," Nature, Nature, vol. 428(6983), pages 643-646, April.
    11. Hisashi Ohtsuki & Yoh Iwasa & Martin A. Nowak, 2009. "Indirect reciprocity provides only a narrow margin of efficiency for costly punishment," Nature, Nature, vol. 457(7225), pages 79-82, January.
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