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Implementation in strong core by codes of rights

Author

Listed:
  • Michele Lombardi

    (University of Liverpool Management School, University of Napoli Federico II)

  • Foivos Savva

    (University of Southampton)

  • Nikolas Zivanas

    (University of Glasgow)

Abstract

Following the seminal contribution of Koray and Yildiz (J Econ Theory 176:479–502, 2018), we re-examine the classical questions of implementation theory under complete information in a setting where coalitions are fundamental behavioral units, and the outcomes of their interactions are predicted by applying the solution concept of the strong core. The planner’s exercise includes designing a code of rights that specifies the collection of coalitions having the right to block one outcome by moving to another. We provide a complete characterization of the implementable social choice rules.

Suggested Citation

  • Michele Lombardi & Foivos Savva & Nikolas Zivanas, 2023. "Implementation in strong core by codes of rights," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(3), pages 503-515, April.
    • Handle: RePEc:spr:sochwe:v:60:y:2023:i:3:d:10.1007_s00355-022-01425-3
    DOI: 10.1007/s00355-022-01425-3
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    References listed on IDEAS

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    1. William Thomson, 2010. "Implementation of solutions to the problem of fair division when preferences are single-peaked," Review of Economic Design, Springer;Society for Economic Design, vol. 14(1), pages 1-15, March.
    2. Doghmi, Ahmed & Ziad, Abderrahmane, 2015. "Nash implementation in private good economies with single-plateaued preferences and in matching problems," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 32-39.
    3. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
    4. Lars Ehlers, 2002. "Strategy-proof allocation when preferences are single-plateaued," Review of Economic Design, Springer;Society for Economic Design, vol. 7(1), pages 105-115.
    5. Benoît, Jean-Pierre & Ok, Efe A., 2008. "Nash implementation without no-veto power," Games and Economic Behavior, Elsevier, vol. 64(1), pages 51-67, September.
    6. Matthew O. Jackson, 1992. "Implementation in Undominated Strategies: A Look at Bounded Mechanisms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(4), pages 757-775.
    7. Eric Maskin & John Moore, 1999. "Implementation and Renegotiation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 39-56.
    8. Ben McQuillin & Robert Sugden, 2011. "The representation of alienable and inalienable rights: games in transition function form," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(4), pages 683-706, October.
    9. Korpela, Ville & Lombardi, Michele & Vartiainen, Hannu, 2020. "Do coalitions matter in designing institutions?," Journal of Economic Theory, Elsevier, vol. 185(C).
    10. 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.
    11. Wako, Jun, 1984. "A note on the strong core of a market with indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 13(2), pages 189-194, October.
    12. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September.
    13. Debraj Ray & Rajiv Vohra, 2015. "The Farsighted Stable Set," Econometrica, Econometric Society, vol. 83(3), pages 977-1011, May.
    14. Koray, Semih & Yildiz, Kemal, 2018. "Implementation via rights structures," Journal of Economic Theory, Elsevier, vol. 176(C), pages 479-502.
    15. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    16. Abreu, Dilip & Matsushima, Hitoshi, 1992. "A Response [Virtual Implementation in Iteratively Undominated Strategies I: Complete Information]," Econometrica, Econometric Society, vol. 60(6), pages 1439-1442, November.
    17. Roth, Alvin E. & Postlewaite, Andrew, 1977. "Weak versus strong domination in a market with indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 4(2), pages 131-137, August.
    18. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
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    Cited by:

    1. Aymeric Lardon & Stéphane Gonzalez, 2024. "Axiomatization and Implementation via Objections Structures," Working Papers 2418, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.

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