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Amendment Voting with Incomplete Preferences

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  • Xiaosheng Mu

    (Columbia University)

Abstract

We study the outcome of the amendment voting procedure based on a potentially incomplete preference relation. A decision-maker evaluates candidates in a list and iteratively updates her choice by comparing the status-quo to the next candidate. She favors the status-quo when the two candidates are incomparable according to her un-derlying preference. Developing a revealed preference approach; we characterize all choice functions that can arise from such a procedure and discuss to what extent the underlying preference can be identified from observed choices.

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  • Xiaosheng Mu, 2019. "Amendment Voting with Incomplete Preferences," Working Papers 2019-29, Princeton University. Economics Department..
    • Handle: RePEc:pri:econom:2019-29
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    1. Gil Kalai & Ariel Rubinstein & Ran Spiegler, 2002. "Rationalizing Choice Functions By Multiple Rationales," Econometrica, Econometric Society, vol. 70(6), pages 2481-2488, November.
    2. Amos Tversky & Daniel Kahneman, 1991. "Loss Aversion in Riskless Choice: A Reference-Dependent Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(4), pages 1039-1061.
    3. Fishburn, Peter C, 1975. "Semiorders and Choice Functions," Econometrica, Econometric Society, vol. 43(5-6), pages 975-977, Sept.-Nov.
    4. , & ,, 2013. "Choice by iterative search," Theoretical Economics, Econometric Society, vol. 8(3), September.
    5. Pedro Bordalo & Nicola Gennaioli & Andrei Shleifer, 2013. "Salience and Consumer Choice," Journal of Political Economy, University of Chicago Press, vol. 121(5), pages 803-843.
    6. Pedro Bordalo & Nicola Gennaioli & Andrei Shleifer, 2020. "Memory, Attention, and Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(3), pages 1399-1442.
    7. Apesteguia, Jose & Ballester, Miguel A., 2013. "Choice by sequential procedures," Games and Economic Behavior, Elsevier, vol. 77(1), pages 90-99.
    8. Jamison, Dean T & Lau, Lawrence J, 1973. "Semiorders and the Theory of Choice," Econometrica, Econometric Society, vol. 41(5), pages 901-912, September.
    9. Elena Reutskaja & Rosemarie Nagel & Colin F. Camerer & Antonio Rangel, 2011. "Search Dynamics in Consumer Choice under Time Pressure: An Eye-Tracking Study," American Economic Review, American Economic Association, vol. 101(2), pages 900-926, April.
    10. Herbert A. Simon, 1955. "A Behavioral Model of Rational Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 69(1), pages 99-118.
    11. Juan Dubra & Fabio Maccheroni & Efe A. Ok, 2004. "Expected Utility Without the Completeness Axiom," Yale School of Management Working Papers ysm404, Yale School of Management.
    12. Avraham Beja & Itzhak Gilboa, 1989. "Numerical Representations of Imperfectly Ordered Preferences (A Unified Geometric Exposition," Discussion Papers 836, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    13. Dubra, Juan & Maccheroni, Fabio & Ok, Efe A., 2004. "Expected utility theory without the completeness axiom," Journal of Economic Theory, Elsevier, vol. 115(1), pages 118-133, March.
    14. Guney, Begum, 2014. "A theory of iterative choice in lists," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 26-32.
    15. Yuval Salant & Ariel Rubinstein, 2008. "(A, f): Choice with Frames -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(4), pages 1287-1296.
    16. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
    17. Yuval Salant, 2011. "Procedural Analysis of Choice Rules with Applications to Bounded Rationality," American Economic Review, American Economic Association, vol. 101(2), pages 724-748, April.
    18. ,, 2016. "List-rationalizable choice," Theoretical Economics, Econometric Society, vol. 11(2), May.
    19. ,, 2016. "Monotone threshold representations," Theoretical Economics, Econometric Society, vol. 11(3), September.
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    More about this item

    Keywords

    Amendment voting; Choice from lists; Status-quo bias; Revealed-preference;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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