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Achieving Cooperation under Privacy Concerns

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  • Wioletta Dziuda
  • Ronen Gradwohl

Abstract

Two players choose whether to cooperate on a project. Each of them is endowed with some evidence, and if both possess a sufficient amount then cooperation is profitable. In order to facilitate cooperation the players reveal evidence to one another. However, some players are concerned about privacy, and so revelation of evidence that does not result in cooperation is costly. We show that in equilibrium evidence can be exchanged both incrementally and all at once, and identify conditions under which the different rates of evidence exchange are optimal.

Suggested Citation

  • Wioletta Dziuda & Ronen Gradwohl, 2013. "Achieving Cooperation under Privacy Concerns," Discussion Papers 1572, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  • Handle: RePEc:nwu:cmsems:1572
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    References listed on IDEAS

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    1. Leslie M. Marx & Steven A. Matthews, 2000. "Dynamic Voluntary Contribution to a Public Project," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(2), pages 327-358.
    2. Dziuda, Wioletta, 2011. "Strategic argumentation," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1362-1397, July.
    3. Pitchford, Rohan & Snyder, Christopher M., 2004. "A solution to the hold-up problem involving gradual investment," Journal of Economic Theory, Elsevier, vol. 114(1), pages 88-103, January.
    4. Johannes Hörner & Andrzej Skrzypacz, 2016. "Selling Information," Journal of Political Economy, University of Chicago Press, vol. 124(6), pages 1515-1562.
    5. Navin Kartik, 2009. "Strategic Communication with Lying Costs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(4), pages 1359-1395.
    6. George Georgiadis, 2015. "Projects and Team Dynamics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(1), pages 187-218.
    7. Compte, Olivier & Jehiel, Philippe, 2003. "Voluntary contributions to a joint project with asymmetric agents," Journal of Economic Theory, Elsevier, vol. 112(2), pages 334-342, October.
    8. Ben Lockwood & Jonathan P. Thomas, 2002. "Gradualism and Irreversibility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(2), pages 339-356.
    9. Anat R. Admati & Motty Perry, 1991. "Joint Projects without Commitment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 259-276.
    10. Sebastian G. Kessing, 2007. "Strategic Complementarity in the Dynamic Private Provision of a Discrete Public Good," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(4), pages 699-710, August.
    11. Watson, Joel, 2002. "Starting Small and Commitment," Games and Economic Behavior, Elsevier, vol. 38(1), pages 176-199, January.
    12. Huseyin Yildirim, 2006. "Getting the Ball Rolling: Voluntary Contributions to a Large‐Scale Public Project," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(4), pages 503-528, October.
    13. Shin Hyun Song, 1994. "The Burden of Proof in a Game of Persuasion," Journal of Economic Theory, Elsevier, vol. 64(1), pages 253-264, October.
    14. Paul Milgrom & John Roberts, 1986. "Relying on the Information of Interested Parties," RAND Journal of Economics, The RAND Corporation, vol. 17(1), pages 18-32, Spring.
    15. Bernhard Ganglmair & Emanuele Tarantino, 2014. "Conversation with secrets," RAND Journal of Economics, RAND Corporation, vol. 45(2), pages 273-302, June.
    16. Jeremy C. Stein, 2008. "Conversations among Competitors," American Economic Review, American Economic Association, vol. 98(5), pages 2150-2162, December.
    17. Paul R. Milgrom, 1981. "Good News and Bad News: Representation Theorems and Applications," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 380-391, Autumn.
    18. Olivier Compte & Philippe Jehiel, 2004. "Gradualism in Bargaining and Contribution Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(4), pages 975-1000.
    19. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
    20. Watson, Joel, 1999. "Starting Small and Renegotiation," Journal of Economic Theory, Elsevier, vol. 85(1), pages 52-90, March.
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    Cited by:

    1. Bernhard Ganglmair & Emanuele Tarantino, 2014. "Conversation with secrets," RAND Journal of Economics, RAND Corporation, vol. 45(2), pages 273-302, June.
    2. Ronen Gradwohl, 2018. "Voting in the limelight," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(1), pages 65-103, July.
    3. Augenblick, Ned & Bodoh-Creed, Aaron, 2018. "To reveal or not to reveal: Privacy preferences and economic frictions," Games and Economic Behavior, Elsevier, vol. 110(C), pages 318-329.
    4. Ganglmair, Bernhard & Holcomb, Alex & Myung, Noah, 2016. "Cutthroats or comrades: Information sharing among competing fund managers," MPRA Paper 71506, University Library of Munich, Germany.
    5. Ehud Lehrer & Dimitry Shaiderman, 2022. "Markovian Persuasion with Stochastic Revelations," Papers 2204.08659, arXiv.org, revised May 2022.
    6. Ehud Lehrer & Dimitry Shaiderman, 2021. "Markovian Persuasion," Papers 2111.14365, arXiv.org.
    7. Honryo, Takakazu, 2018. "Dynamic persuasion," Journal of Economic Theory, Elsevier, vol. 178(C), pages 36-58.

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    More about this item

    Keywords

    Cooperation; Privacy; Communication JEL Classification: D80;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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