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Interdependent Preferences and Strategic Distinguishability

Author

Listed:
  • Dirk Bergemann
  • Stephen Morris
  • Satoru Takahashi

Abstract

A universal type space of interdependent expected utility preference types is constructed from higher-order preference hierarchies describing (i) an agent's (unconditional) preferences over a lottery space; (ii) the agent's preference over Anscombe-Aumann acts conditional on the unconditional preferences; and so on. Two types are said to be strategically indistinguishable if they have an equilibrium action in common in any mechanism that they play. We show that two types are strategically indistinguishable if and only if they have the same preference hierarchy. We examine how this result extends to alternative solution concepts and strategic relations between types.
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Suggested Citation

  • Dirk Bergemann & Stephen Morris & Satoru Takahashi, 2010. "Interdependent Preferences and Strategic Distinguishability," Levine's Working Paper Archive 661465000000000273, David K. Levine.
    • Handle: RePEc:cla:levarc:661465000000000273
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    File URL: http://www.dklevine.com/archive/refs4661465000000000273.pdf
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    Citations

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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 & Satoru Takahashi, 2012. "Efficient Auctions and Interdependent Types," American Economic Review, American Economic Association, vol. 102(3), pages 319-324, May.
    3. Bergemann, Dirk & Morris, Stephen & Takahashi, Satoru, 2017. "Interdependent preferences and strategic distinguishability," Journal of Economic Theory, Elsevier, vol. 168(C), pages 329-371.
    4. Ganguli, Jayant & Heifetz, Aviad & Lee, Byung Soo, 2016. "Universal interactive preferences," Journal of Economic Theory, Elsevier, vol. 162(C), pages 237-260.
    5. 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.
    6. Dirk Bergemann & Stephen Morris, 2013. "Robust Predictions in Games With Incomplete Information," Econometrica, Econometric Society, vol. 81(4), pages 1251-1308, July.
    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. Michele Lombardi & Ritesh Jain & 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.
    15. Ritesh Jain & Michele Lombardi & Antonio Penta, 2024. "Strategically robust implementation," Economics Working Papers 1893, Department of Economics and Business, Universitat Pompeu Fabra.

    More about this item

    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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