IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v89y2015icp34-42.html
   My bibliography  Save this article

Premise-based versus outcome-based information aggregation

Author

Listed:
  • de Clippel, Geoffroy
  • Eliaz, Kfir

Abstract

A group of rational individuals with common interest need to select one of two outcomes. The optimal decision depends on whether certain premises or pieces of evidence are established as being true, and each member receives a noisy signal of the truth value of the relevant premises. Should the group reach a decision by voting whether each premise is true or false, or should they simply vote on the outcome? We show that for any finite number of individuals, the premise-based voting rule is more efficient in aggregating information than the outcome-based rule. However, generically, the gain from using the premise-based over the outcome-based rule can only be marginal when numerous individuals express independent opinions. Indeed, the outcome-based game is almost always asymptotically efficient.

Suggested Citation

  • de Clippel, Geoffroy & Eliaz, Kfir, 2015. "Premise-based versus outcome-based information aggregation," Games and Economic Behavior, Elsevier, vol. 89(C), pages 34-42.
    • Handle: RePEc:eee:gamebe:v:89:y:2015:i:c:p:34-42
    DOI: 10.1016/j.geb.2014.10.011
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825614001559
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.geb.2014.10.011?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Austen-Smith, David & Banks, Jeffrey S., 1996. "Information Aggregation, Rationality, and the Condorcet Jury Theorem," American Political Science Review, Cambridge University Press, vol. 90(1), pages 34-45, March.
    2. 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.
    3. Dietrich, Franz & List, Christian, 2007. "Strategy-Proof Judgment Aggregation," Economics and Philosophy, Cambridge University Press, vol. 23(3), pages 269-300, November.
    4. Timothy Feddersen & Wolfgang Pesendorfer, 1997. "Voting Behavior and Information Aggregation in Elections with Private Information," Econometrica, Econometric Society, vol. 65(5), pages 1029-1058, September.
    5. Ahn, David S. & Oliveros, Santiago, 2014. "The Condorcet Jur(ies) Theorem," Journal of Economic Theory, Elsevier, vol. 150(C), pages 841-851.
    6. Feddersen, Timothy & Pesendorfer, Wolfgang, 1998. "Convicting the Innocent: The Inferiority of Unanimous Jury Verdicts under Strategic Voting," American Political Science Review, Cambridge University Press, vol. 92(1), pages 23-35, March.
    7. repec:esx:essedp:743 is not listed on IDEAS
    8. Anand, Paul & Pattanaik, Prasanta & Puppe, Clemens (ed.), 2009. "The Handbook of Rational and Social Choice," OUP Catalogue, Oxford University Press, number 9780199290420.
    9. McLennan, Andrew, 1998. "Consequences of the Condorcet Jury Theorem for Beneficial Information Aggregation by Rational Agents," American Political Science Review, Cambridge University Press, vol. 92(2), pages 413-418, June.
    10. Christian List, 2005. "The probability of inconsistencies in complex collective decisions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(1), pages 3-32, May.
    11. David S. Ahn & Santiago Oliveros, 2012. "Combinatorial Voting," Econometrica, Econometric Society, vol. 80(1), pages 89-141, January.
    12. Brennan, Geoffrey, 2001. "Collective coherence?," International Review of Law and Economics, Elsevier, vol. 21(2), pages 197-211, June.
    13. Nicola Persico, 2004. "Committee Design with Endogenous Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(1), pages 165-191.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Joseph McMurray, 2017. "Ideology as Opinion: A Spatial Model of Common-Value Elections," American Economic Journal: Microeconomics, American Economic Association, vol. 9(4), pages 108-140, November.
    2. 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.
    3. Ruth Ben-Yashar & Leif Danziger, 2014. "On the optimal composition of committees," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(4), pages 973-980, December.
    4. Baharad, Eyal & Neeman, Zvika & Rubinchik, Anna, 2020. "The rarity of consistent aggregators," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 146-149.
    5. Dietrich, Franz, 2016. "Judgment aggregation and agenda manipulation," Games and Economic Behavior, Elsevier, vol. 95(C), pages 113-136.
    6. repec:esx:essedp:743 is not listed on IDEAS
    7. Ahn, David S. & Oliveros, Santiago, 2014. "The Condorcet Jur(ies) Theorem," Journal of Economic Theory, Elsevier, vol. 150(C), pages 841-851.
    8. Schoch, Daniel, 2015. "Game Form Representation for Judgement and Arrovian Aggregation," MPRA Paper 64311, University Library of Munich, Germany.
    9. Irem Bozbay, 2015. "Truth-Tracking Judgment Aggregation Over Interconnected Issues," School of Economics Discussion Papers 0916, School of Economics, University of Surrey.
    10. Irem Bozbay, 2019. "Truth-tracking judgment aggregation over interconnected issues," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(2), pages 337-370, August.
    11. Aureli Alabert & Mercè Farré, 2022. "The doctrinal paradox: comparison of decision rules in a probabilistic framework," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(4), pages 863-895, May.
    12. Masaki Miyashita, 2017. "Binary Collective Choice with Multiple Premises," Discussion Paper Series DP2017-27, Research Institute for Economics & Business Administration, Kobe University.
    13. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Irem Bozbay, 2019. "Truth-tracking judgment aggregation over interconnected issues," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(2), pages 337-370, August.
    3. Alexander Lundberg, 2020. "The importance of expertise in group decisions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(3), pages 495-521, October.
    4. Meirowitz, Adam & Pi, Shaoting, 2022. "Voting and trading: The shareholder’s dilemma," Journal of Financial Economics, Elsevier, vol. 146(3), pages 1073-1096.
    5. Elisabeth Schulte, 2010. "Information aggregation and preference heterogeneity in committees," Theory and Decision, Springer, vol. 69(1), pages 97-118, July.
    6. Laurent Bouton & Aniol Llorente-Saguer & Antonin Macé & Dimitrios Xefteris, 2021. "Voting Rights, Agenda Control and Information Aggregation," NBER Working Papers 29005, National Bureau of Economic Research, Inc.
    7. Xie, Yinxi & Xie, Yang, 2017. "Machiavellian experimentation," Journal of Comparative Economics, Elsevier, vol. 45(4), pages 685-711.
    8. Ruth Ben-Yashar & Igal Milchtaich, 2003. "First and Second Best Voting Rules in Committees," Working Papers 2003-08, Bar-Ilan University, Department of Economics.
    9. Bouton, Laurent & Llorente-Saguer, Aniol & Malherbe, Frédéric, 2017. "Unanimous rules in the laboratory," Games and Economic Behavior, Elsevier, vol. 102(C), pages 179-198.
    10. Bouton, Laurent & Castanheira, Micael & Llorente-Saguer, Aniol, 2016. "Divided majority and information aggregation: Theory and experiment," Journal of Public Economics, Elsevier, vol. 134(C), pages 114-128.
    11. Irem Bozbay, 2015. "Truth-Tracking Judgment Aggregation Over Interconnected Issues," School of Economics Discussion Papers 0916, School of Economics, University of Surrey.
    12. Sourav Bhattacharya, 2006. "Preference Monotonicity and Information Aggregation in Elections," Working Paper 325, Department of Economics, University of Pittsburgh, revised Dec 2008.
    13. Gershkov, Alex & Szentes, Balázs, 2009. "Optimal voting schemes with costly information acquisition," Journal of Economic Theory, Elsevier, vol. 144(1), pages 36-68, January.
    14. Philip Bond & Hülya Eraslan, 2004. "Strategic Voting over Strategic Proposals, Second Version," PIER Working Paper Archive 07-014, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 02 Jan 2007.
    15. Philip Bond & Hülya Eraslan, 2010. "Strategic Voting over Strategic Proposals," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(2), pages 459-490.
    16. Ruth Ben-Yashar, 2006. "Information is important to Condorcet jurors," Public Choice, Springer, vol. 127(3), pages 305-319, June.
    17. Bhattacharya, Sourav & Duffy, John & Kim, Sun-Tak, 2014. "Compulsory versus voluntary voting: An experimental study," Games and Economic Behavior, Elsevier, vol. 84(C), pages 111-131.
    18. List, Christian & Polak, Ben, 2010. "Introduction to judgment aggregation," Journal of Economic Theory, Elsevier, vol. 145(2), pages 441-466, March.
    19. Cesar Martinelli, 2011. "Ignorance and Naivete in Large Elections," Working Papers 1107, Centro de Investigacion Economica, ITAM.
    20. Aureli Alabert & Mercè Farré, 2022. "The doctrinal paradox: comparison of decision rules in a probabilistic framework," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(4), pages 863-895, May.

    More about this item

    Keywords

    Strategic voting; Doctrinal paradox;

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:gamebe:v:89:y:2015:i:c:p:34-42. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.