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Rationalizability of Plott consistent choice functions: a corrigendum

Author

Listed:
  • Dan Qin

    (Waseda University)

  • Matthew Ryan

    (Auckland University of Technology)

Abstract

Example 2 in Qin (Soc Choice Welf 45:1–17, 2015) provides a counter-example to Ryan (Soc Choice Welf 42:193–213, 2014, Proposition 5). The erroneous step in the “proof” of Proposition 5 is the assumption that a choice function over opportunity sets is rationalizable whenever its base relation is justifiable (Lahiri, Soc Choice Welf 21:117–129, 2003). Qin’s example shows this assumption to be false. In this Corrigendum we provide a corrected version of Ryan’s (Soc Choice Welf 42:193–213, 2014, Proposition 5), based on results in Ryan (Soc Choice Welf 42:193–213, 2014) and Qin (Soc Choice Welf 45:1–17, 2015).

Suggested Citation

  • Dan Qin & Matthew Ryan, 2016. "Rationalizability of Plott consistent choice functions: a corrigendum," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 761-762, October.
  • Handle: RePEc:spr:sochwe:v:47:y:2016:i:3:d:10.1007_s00355-016-0964-1
    DOI: 10.1007/s00355-016-0964-1
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    References listed on IDEAS

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    1. Somdeb Lahiri, 2003. "Justifiable preferences over opportunity sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(1), pages 117-129, August.
    2. Matthew Ryan, 2014. "Path independent choice and the ranking of opportunity sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(1), pages 193-213, January.
    3. Dan Qin, 2015. "On justifiable choice functions over opportunity sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 269-285, September.
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