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Unique Information Elicitation

Author

Listed:
  • Hitoshi Matsushima

    (University of Tokyo)

  • Shunya Noda

    (University of British Columbia)

Abstract

This study investigates the unique information elicitation problem. A central planner attempts to elicit correct information from multiple informed agents through mutual monitoring. There is a severe restriction on incentive devices: we assume neither public monitoring technology nor allocation rule is available; thus, the central planner only uses monetary payment rules. It is well-known that if all agents are selfish, it is impossible to elicit information as a unique equilibrium. We consider an epistemological possibility that some agents could be motivated by an intrinsic preference for honesty, while we allow that honest agents are mostly motivated by monetary interest. We prove that, once we introduce an epistemic type space that allows agents to be (weakly) honest, then the impossibility theorem reduces to a knife-edge case: The central planner can elicit correct information from agents as a unique Bayes Nash equilibrium behavior if and only if it is never common knowledge that all agents are selfish.

Suggested Citation

  • Hitoshi Matsushima & Shunya Noda, 2020. "Unique Information Elicitation," CARF F-Series CARF-F-496, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
  • Handle: RePEc:cfi:fseres:cf496
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    References listed on IDEAS

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    1. Kreps, David M. & Milgrom, Paul & Roberts, John & Wilson, Robert, 1982. "Rational cooperation in the finitely repeated prisoners' dilemma," Journal of Economic Theory, Elsevier, vol. 27(2), pages 245-252, August.
    2. Morris, Stephen & Shin, Hyun Song, 1998. "Unique Equilibrium in a Model of Self-Fulfilling Currency Attacks," American Economic Review, American Economic Association, vol. 88(3), pages 587-597, June.
    3. Sebastian Morris, 2022. "Introduction," India Studies in Business and Economics, in: Macroeconomic Policy in India Since the Global Financial Crisis, chapter 0, pages 1-21, Springer.
    4. Matsushima Hitoshi, 1993. "Bayesian Monotonicity with Side Payments," Journal of Economic Theory, Elsevier, vol. 59(1), pages 107-121, February.
    5. Tore Ellingsen & Magnus Johannesson, 2004. "Promises, Threats and Fairness," Economic Journal, Royal Economic Society, vol. 114(495), pages 397-420, April.
    6. Dutta, Bhaskar & Sen, Arunava, 2012. "Nash implementation with partially honest individuals," Games and Economic Behavior, Elsevier, vol. 74(1), pages 154-169.
    7. Nolan Miller & Paul Resnick & Richard Zeckhauser, 2005. "Eliciting Informative Feedback: The Peer-Prediction Method," Management Science, INFORMS, vol. 51(9), pages 1359-1373, September.
    8. Dirk Bergemann & Stephen Morris, 2012. "Robust Mechanism Design: An Introduction," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 1, pages 1-48, World Scientific Publishing Co. Pte. Ltd..
    9. Matsushima, Hitoshi, 2008. "Role of honesty in full implementation," Journal of Economic Theory, Elsevier, vol. 139(1), pages 353-359, March.
    10. Navin Kartik, 2009. "Strategic Communication with Lying Costs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(4), pages 1359-1395.
    11. Dirk Bergemann & Stephen Morris, 2012. "Robust Mechanism Design," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 2, pages 49-96, World Scientific Publishing Co. Pte. Ltd..
    12. Postlewaite, Andrew & Vives, Xavier, 1987. "Bank Runs as an Equilibrium Phenomenon," Journal of Political Economy, University of Chicago Press, vol. 95(3), pages 485-491, June.
    13. Kartik, Navin & Tercieux, Olivier & Holden, Richard, 2014. "Simple mechanisms and preferences for honesty," Games and Economic Behavior, Elsevier, vol. 83(C), pages 284-290.
    14. Matsushima, Hitoshi, 2007. "Mechanism design with side payments: Individual rationality and iterative dominance," Journal of Economic Theory, Elsevier, vol. 133(1), pages 1-30, March.
    15. Matsushima, Hitoshi, 1991. "Incentive compatible mechanisms with full transferability," Journal of Economic Theory, Elsevier, vol. 54(1), pages 198-203, June.
    16. Hitoshi Matsushima & Shunya Noda, 2020. "Mechanism Design with Blockchain Enforcement," DSSR Discussion Papers 111, Graduate School of Economics and Management, Tohoku University.
    17. Matsushima, Hitoshi, 2008. "Behavioral aspects of implementation theory," Economics Letters, Elsevier, vol. 100(1), pages 161-164, July.
    18. Botond Köszegi, 2014. "Behavioral Contract Theory," Journal of Economic Literature, American Economic Association, vol. 52(4), pages 1075-1118, December.
    19. Miller, Nolan H. & Pratt, John W. & Zeckhauser, Richard J. & Johnson, Scott, 2007. "Mechanism design with multidimensional, continuous types and interdependent valuations," Journal of Economic Theory, Elsevier, vol. 136(1), pages 476-496, September.
    20. Hitoshi Matsushima, 2019. "Implementation without expected utility: ex-post verifiability," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(4), pages 575-585, December.
    21. Johnson, Scott & Pratt, John W & Zeckhauser, Richard J, 1990. "Efficiency Despite Mutually Payoff-Relevant Private Information: The Finite Case," Econometrica, Econometric Society, vol. 58(4), pages 873-900, July.
    22. Matsushima, Hitoshi, 1990. "Dominant strategy mechanisms with mutually payoff-relevant private information and with public information," Economics Letters, Elsevier, vol. 34(2), pages 109-112, October.
    23. Bergemann & Morris, . "An Introduction to Robust Mechanism Design," Foundations and Trends(R) in Microeconomics, now publishers, vol. 8(3), pages 169-230.
    24. Kartik, Navin & Ottaviani, Marco & Squintani, Francesco, 2007. "Credulity, lies, and costly talk," Journal of Economic Theory, Elsevier, vol. 134(1), pages 93-116, May.
    25. Aoyagi, Masaki, 1998. "Correlated Types and Bayesian Incentive Compatible Mechanisms with Budget Balance," Journal of Economic Theory, Elsevier, vol. 79(1), pages 142-151, March.
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