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Introduction to judgment aggregation

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  • List, Christian
  • Polak, Ben

Abstract

This introduces the symposium on judgment aggregation. The theory of judgment aggregation asks how several individuals' judgments on some logically connected propositions can be aggregated into consistent collective judgments. The aim of this introduction is to show how ideas from the familiar theory of preference aggregation can be extended to this more general case. We first translate a proof of Arrow's impossibility theorem into the new setting, so as to motivate some of the central concepts and conditions leading to analogous impossibilities, as discussed in the symposium. We then consider each of four possible escape-routes explored in the symposium.

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  • List, Christian & Polak, Ben, 2010. "Introduction to judgment aggregation," Journal of Economic Theory, Elsevier, vol. 145(2), pages 441-466, March.
    • Handle: RePEc:eee:jetheo:v:145:y:2010:i:2:p:441-466
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    1. Conal Duddy & Ashley Piggins, 2012. "A measure of distance between judgment sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 855-867, October.
    2. repec:hal:spmain:info:hdl:2441/dambferfb7dfprc9m2e02cub3 is not listed on IDEAS
    3. Carl Andreas Claussen & Øistein Røisland, 2015. "Explaining Interest Rate Decisions when the MPC Members Believe in Different Stories," International Journal of Central Banking, International Journal of Central Banking, vol. 11(2), pages 41-64, March.
    4. Bozbay, Irem, 2012. "Truth-Seeking Judgment Aggregation over Interconnected Issues," Working Papers 2012:31, Lund University, Department of Economics.
    5. Masaki Miyashita, 2021. "Premise-based vs conclusion-based collective choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(2), pages 361-385, August.
    6. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2020. "Arrow on domain conditions: a fruitful road to travel," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 237-258, March.
    7. Bozbay, İrem & Dietrich, Franz & Peters, Hans, 2014. "Judgment aggregation in search for the truth," Games and Economic Behavior, Elsevier, vol. 87(C), pages 571-590.
    8. repec:esx:essedp:743 is not listed on IDEAS
    9. Schoch, Daniel, 2015. "Game Form Representation for Judgement and Arrovian Aggregation," MPRA Paper 64311, University Library of Munich, Germany.
    10. Perote-Peña, Juan & Piggins, Ashley, 2015. "A Model Of Deliberative And Aggregative Democracy," Economics and Philosophy, Cambridge University Press, vol. 31(1), pages 93-121, March.
    11. Wesley H. Holliday & Eric Pacuit, 2020. "Arrow’s decisive coalitions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 463-505, March.
    12. Ahn, David S. & Oliveros, Santiago, 2014. "The Condorcet Jur(ies) Theorem," Journal of Economic Theory, Elsevier, vol. 150(C), pages 841-851.
    13. Philippe Mongin, 2012. "The doctrinal paradox, the discursive dilemma, and logical aggregation theory," Theory and Decision, Springer, vol. 73(3), pages 315-355, September.
    14. Conal Duddy & Ashley Piggins & William Zwicker, 2016. "Aggregation of binary evaluations: a Borda-like approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(2), pages 301-333, February.
    15. Hannu Salonen, 2014. "Aggregating and Updating Information," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 8(2), pages 55-67, October.
    16. repec:spo:wpecon:info:hdl:2441/dambferfb7dfprc9m2e02cub3 is not listed on IDEAS
    17. Cres, Herve & Gilboa, Itzhak & Vieille, Nicolas, 2012. "Bureaucracy in Quest for Feasibility," Foerder Institute for Economic Research Working Papers 275779, Tel-Aviv University > Foerder Institute for Economic Research.
    18. Zoi Terzopoulou & Ulle Endriss, 2020. "Neutrality and relative acceptability in judgment aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(1), pages 25-49, June.
    19. Duddy, Conal & Piggins, Ashley, 2013. "Many-valued judgment aggregation: Characterizing the possibility/impossibility boundary," Journal of Economic Theory, Elsevier, vol. 148(2), pages 793-805.
    20. Cres, Herve & Gilboa, Itzhak & Vieille, Nicolas, 2012. "Bureaucracy in Quest for Feasibility," Foerder Institute for Economic Research Working Papers 275779, Tel-Aviv University > Foerder Institute for Economic Research.
    21. repec:hal:wpspec:info:hdl:2441/dambferfb7dfprc9m2e02cub3 is not listed on IDEAS
    22. Beg, Ismat & Syed, Ayesha, 2016. "An interactive fuzzy judgment aggregation model for consensus with partially undecided judges," MPRA Paper 96096, University Library of Munich, Germany, revised 14 Apr 2017.
    23. Herzberg, Frederik & Eckert, Daniel, 2012. "The model-theoretic approach to aggregation: Impossibility results for finite and infinite electorates," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 41-47.
    24. Masaki Miyashita, 2017. "Binary Collective Choice with Multiple Premises," Discussion Paper Series DP2017-27, Research Institute for Economics & Business Administration, Kobe University.
    25. Aureli Alabert & Mercè Farré & Rubén Montes, 2023. "Optimal Decision Rules for the Discursive Dilemma," Group Decision and Negotiation, Springer, vol. 32(4), pages 889-923, August.

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    More about this item

    Keywords

    Judgment aggregation Arrow's theorem Escape-routes;

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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