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Trimming extreme reports in preference aggregation

Author

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  • Louis, Philippos
  • Núñez, Matías
  • Xefteris, Dimitrios

Abstract

Eliminating – or trimming – extreme reports before aggregating them is usually motivated by the perception that it constitutes a remedy for strategic misreporting. This work focuses on the strategic calculus of voting when using trimmed-mean mechanisms for preference aggregation. Contrary to the above presumption, we show, both formally and experimentally that, under such mechanisms, voters persistently resort to strategic polarization for all but the most extreme levels of trimming. Furthermore, we show that while trimming promotes efficiency (i.e. the average payoff increases), it also leads to more inequality (i.e. the minimum payoff decreases). While experimental results provide some support for the idea that trimming can mitigate strategic misreporting, the extent of this non-equilibrium behavior is not enough to neutralize trimming's predicted effect on efficiency and inequality.

Suggested Citation

  • Louis, Philippos & Núñez, Matías & Xefteris, Dimitrios, 2023. "Trimming extreme reports in preference aggregation," Games and Economic Behavior, Elsevier, vol. 137(C), pages 116-151.
  • Handle: RePEc:eee:gamebe:v:137:y:2023:i:c:p:116-151
    DOI: 10.1016/j.geb.2022.11.003
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    as
    1. Dutta, Bhaskar & Sen, Arunava, 1991. "Implementation under strong equilibrium : A complete characterization," Journal of Mathematical Economics, Elsevier, vol. 20(1), pages 49-67.
    2. Hurley, W. J. & Lior, D. U., 2002. "Combining expert judgment: On the performance of trimmed mean vote aggregation procedures in the presence of strategic voting," European Journal of Operational Research, Elsevier, vol. 140(1), pages 142-147, July.
    3. Ben Greiner, 2015. "Subject pool recruitment procedures: organizing experiments with ORSEE," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 1(1), pages 114-125, July.
    4. Priyank Gandhi & Benjamin Golez & Jens Carsten Jackwerth & Alberto Plazzi, 2019. "Financial Market Misconduct and Public Enforcement: The Case of Libor Manipulation," Management Science, INFORMS, vol. 65(11), pages 5268-5289, November.
    5. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    6. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
    7. Alexander Eisl & Rainer Jankowitsch & Marti G. Subrahmanyam, 2017. "The Manipulation Potential of Libor and Euribor," European Financial Management, European Financial Management Association, vol. 23(4), pages 604-647, September.
    8. Puppe, Clemens & Rollmann, Jana, 2021. "Mean versus median voting in multi-dimensional budget allocation problems. A laboratory experiment," Games and Economic Behavior, Elsevier, vol. 130(C), pages 309-330.
    9. Reinhard Selten & Klaus Abbink & Ricarda Cox, 2005. "Learning Direction Theory and the Winner’s Curse," Experimental Economics, Springer;Economic Science Association, vol. 8(1), pages 5-20, April.
    10. Michael F. Bryan & Stephen G. Cecchetti, 1994. "Measuring Core Inflation," NBER Chapters, in: Monetary Policy, pages 195-219, National Bureau of Economic Research, Inc.
    11. Jacob Gyntelberg & Philip Wooldridge, 2008. "Interbank rate fixings during the recent turmoil," BIS Quarterly Review, Bank for International Settlements, March.
    12. Yaniv, Ilan, 1997. "Weighting and Trimming: Heuristics for Aggregating Judgments under Uncertainty," Organizational Behavior and Human Decision Processes, Elsevier, vol. 69(3), pages 237-249, March.
    13. David Roodman & James G. MacKinnon & Morten Ørregaard Nielsen & Matthew D. Webb, 2019. "Fast and wild: Bootstrap inference in Stata using boottest," Stata Journal, StataCorp LP, vol. 19(1), pages 4-60, March.
    14. Eric Zitzewitz, 2006. "Nationalism in Winter Sports Judging and Its Lessons for Organizational Decision Making," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 15(1), pages 67-99, March.
    15. Núñez, Matías & Xefteris, Dimitrios, 2017. "Implementation via approval mechanisms," Journal of Economic Theory, Elsevier, vol. 170(C), pages 169-181.
    16. Jeffrey S. Rosenthal & Martin J. Osborne & Matthew A. Turner, 2000. "Meetings with Costly Participation," American Economic Review, American Economic Association, vol. 90(4), pages 927-943, September.
    17. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    18. Gruner, Hans Peter & Kiel, Alexandra, 2004. "Collective decisions with interdependent valuations," European Economic Review, Elsevier, vol. 48(5), pages 1147-1168, October.
    19. Saijo, Tatsuyoshi, 1988. "Strategy Space Reduction in Maskin's Theorem: Sufficient Conditions for Nash Implementation," Econometrica, Econometric Society, vol. 56(3), pages 693-700, May.
    20. Andreas Hornstein & Per Krusell & Giovanni L. Violante, 2011. "Frictional Wage Dispersion in Search Models: A Quantitative Assessment," American Economic Review, American Economic Association, vol. 101(7), pages 2873-2898, December.
    21. Hirofumi Yamamura, 2011. "On Coalitional Stability and Single-peakedness," Discussion Paper Series DP2011-21, Research Institute for Economics & Business Administration, Kobe University.
    22. Jens Josephson, 2008. "Stochastic better-reply dynamics in finite games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(2), pages 381-389, May.
    23. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    24. E. Maskin, 1978. "Implementation and Strong Nash Equilibrium," Working papers 216, Massachusetts Institute of Technology (MIT), Department of Economics.
    25. Alessandra Casella & Thomas Palfrey, 2019. "Trading Votes for Votes. A Dynamic Theory," Econometrica, Econometric Society, vol. 87(2), pages 631-652, March.
    26. Schnitkey, Gary, 2012. "Simple versus Olympic Averages in Prices used in Farm Commodity Programs," farmdoc daily, University of Illinois at Urbana-Champaign, Department of Agricultural and Consumer Economics, vol. 2, May.
    27. Philippos Louis & Matías Núñez & Dimitrios Xefteris, 2022. "The Virtuous Cycle of Agreement," The Economic Journal, Royal Economic Society, vol. 132(641), pages 326-360.
    28. Moore, John & Repullo, Rafael, 1990. "Nash Implementation: A Full Characterization," Econometrica, Econometric Society, vol. 58(5), pages 1083-1099, September.
    29. Régis Renault & Alain Trannoy, 2005. "Protecting Minorities through the Average Voting Rule," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 7(2), pages 169-199, May.
    30. Palfrey, Thomas R. & Rosenthal, Howard, 1985. "Voter Participation and Strategic Uncertainty," American Political Science Review, Cambridge University Press, vol. 79(1), pages 62-78, March.
    31. Reinhard Selten & Klaus Abbink & Ricarda Cox, 2005. "Learning Direction Theory and the Winner’s Curse," Experimental Economics, Springer;Economic Science Association, vol. 8(1), pages 5-20, April.
    32. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
    33. Hirofumi Yamamura & Ryo Kawasaki, 2013. "Generalized average rules as stable Nash mechanisms to implement generalized median rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 815-832, March.
    34. Rosar, Frank, 2015. "Continuous decisions by a committee: Median versus average mechanisms," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 15-65.
    35. Andreas Kleiner & Benny Moldovanu, 2017. "Content-Based Agendas and Qualified Majorities in Sequential Voting," American Economic Review, American Economic Association, vol. 107(6), pages 1477-1506, June.
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    More about this item

    Keywords

    Trimmed mean; Equilibrium; Experiment; Collective decisions; Social welfare; Utilitarianism; Minmax;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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