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A Characterization of Game-Theoretic Solutions Which Lead to Impossibility Theorems

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  • Matthew O. Jackson
  • Sanjay Srivastava

Abstract

For some game-theoretic solution concepts, such as dominant strategies, Nash equilibrium, and undominated strategies, only dictatorial social choice functions are implementable on a full domain of preferences with at least three alternatives. For other solution concepts, such as the iterative removal of weakly dominated strategies, undominated Nash equilibrium, and maximin, it is possible to implement non-dictatorial social choice functions. Which aspects of solution concepts accounts for these differences? We answer this question by providing a characterization of solution concepts which lead to impossibility results.

Suggested Citation

  • Matthew O. Jackson & Sanjay Srivastava, 1996. "A Characterization of Game-Theoretic Solutions Which Lead to Impossibility Theorems," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(1), pages 23-38.
    • Handle: RePEc:oup:restud:v:63:y:1996:i:1:p:23-38.
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    File URL: http://hdl.handle.net/10.2307/2298113
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    Cited by:

    1. Shino Takayama & Akira Yokotani, 2017. "Social choice correspondences with infinitely many agents: serial dictatorship," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(3), pages 573-598, March.
    2. Jain, Ritesh, 2021. "Rationalizable implementation of social choice correspondences," Games and Economic Behavior, Elsevier, vol. 127(C), pages 47-66.
    3. Marcelo Caffera & Juan Dubra, 2005. "Getting Polluters to Tell the Truth," Microeconomics 0504008, University Library of Munich, Germany.
    4. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    5. Xiong, Siyang, 2021. "Designing referenda: An economist's pessimistic perspective," Journal of Economic Theory, Elsevier, vol. 191(C).
    6. Priscilla Man & Shino Takayama, 2013. "A unifying impossibility theorem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(2), pages 249-271, October.
    7. Shino Takayama & Akira Yokotani, 2014. "Serial Dictatorship with Infinitely Many Agents," Discussion Papers Series 503, School of Economics, University of Queensland, Australia.
    8. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 655-708.
    9. Kim-Sau Chung & Jeffrey C. Ely, 2003. "Implementation with Near-Complete Information," Econometrica, Econometric Society, vol. 71(3), pages 857-871, May.
    10. Hideki Mizukami & Takuma Wakayama, 2004. "Dominant Strategy Implementation in Pure Exchange Economies," Discussion Papers in Economics and Business 04-03, Osaka University, Graduate School of Economics.
    11. Ning Yu, 2015. "A quest for fundamental theorems of social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 533-548, March.
    12. Takashi Kunimoto, 2006. "The Robustness Of Equilibrium Analysis: The Case Of Undominated Nash Equilibrium," Departmental Working Papers 2006-26, McGill University, Department of Economics.

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