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Interdependent Preferences and Strategic Distinguishability

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Abstract

We identify a universal type space of possible interdependent (expected utility) preferences of a group of agents satisfying two criteria. First, a type consists of a "detail free" description, in a natural language, of the agents' interdependent preferences. Second, distinct types in the universal type space must be "strategically distinguishable" in the sense that there must exist a mechanism where those types are guaranteed to behave differently in equilibrium. Our results generalize and unify results of Abreu and Matsushima (1992b) (who characterized strategic distinguishability on fixed finite type spaces) and Dekel, Fudenberg, and Morris (2006), (2007) (who characterized strategic distinguishability on type spaces without preference uncertainty and thus without interdependent preferences).

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  • Dirk Bergemann & Stephen Morris & Satoru Takahashi, 2010. "Interdependent Preferences and Strategic Distinguishability," Cowles Foundation Discussion Papers 1772RR, Cowles Foundation for Research in Economics, Yale University, revised Jul 2014.
    • Handle: RePEc:cwl:cwldpp:1772rr
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    Cited by:

    1. 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..
    2. Dirk Bergemann & Stephen Morris, 2013. "Robust Predictions in Games With Incomplete Information," Econometrica, Econometric Society, vol. 81(4), pages 1251-1308, July.
    3. Dirk Bergemann & Stephen Morris & Satoru Takahashi, 2012. "Efficient Auctions and Interdependent Types," American Economic Review, American Economic Association, vol. 102(3), pages 319-324, May.
    4. Bergemann, Dirk & Morris, Stephen & Takahashi, Satoru, 2017. "Interdependent preferences and strategic distinguishability," Journal of Economic Theory, Elsevier, vol. 168(C), pages 329-371.
    5. Ganguli, Jayant & Heifetz, Aviad & Lee, Byung Soo, 2016. "Universal interactive preferences," Journal of Economic Theory, Elsevier, vol. 162(C), pages 237-260.
    6. Grant, Simon & Meneghel, Idione & Tourky, Rabee, 2013. "Savage Games: A Theory of Strategic Interaction with Purely Subjective Uncertainty," Risk and Sustainable Management Group Working Papers 151501, University of Queensland, School of Economics.
    7. Christopher P. Chambers & Nicolas S. Lambert, 2021. "Dynamic Belief Elicitation," Econometrica, Econometric Society, vol. 89(1), pages 375-414, January.
    8. Tsakas, Elias, 2018. "Robust scoring rules," Research Memorandum 023, Maastricht University, Graduate School of Business and Economics (GSBE).
    9. Ritesh Jain & Michele Lombardi & Antonio Penta, 2024. "Strategically Robust Implementation," Working Papers 1461, Barcelona School of Economics.
    10. Daley, Brendan & Sadowski, Philipp, 2017. "Magical thinking: A representation result," Theoretical Economics, Econometric Society, vol. 12(2), May.
    11. Stephen Morris & Satoru Takahashi, 2011. "Common Certainty of Rationality Revisited," Working Papers 1301, Princeton University, Department of Economics, Econometric Research Program..
    12. repec:pri:metric:wp023_2011_bergemann_morris.pdf is not listed on IDEAS
    13. Grant, Simon & Meneghel, Idione & Tourky, Rabee, 2016. "Savage games," Theoretical Economics, Econometric Society, vol. 11(2), May.
    14. Gul, Faruk & Pesendorfer, Wolfgang, 2016. "Interdependent preference models as a theory of intentions," Journal of Economic Theory, Elsevier, vol. 165(C), pages 179-208.

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    More about this item

    Keywords

    Interdependent preferences; Higher-order preference hierarchy; Universal type space; Strategic distinguishability;
    All these keywords.

    JEL classification:

    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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