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Consistency and its converse: an introduction

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  • William Thomson

Abstract

This essay is an introduction to the recent literature on the "consistency principle" and its "converse". An allocation rule is consistent if for any problem in its domain of definition and any alternative that it selects for it, then for the associated "reduced problem" obtained by imagining the departure of any subgroup of the agents with their "components of the alternative" and reassessing the options open to that subgroup.
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Suggested Citation

  • William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 257-291, December.
  • Handle: RePEc:spr:reecde:v:15:y:2011:i:4:p:257-291
    DOI: 10.1007/s10058-011-0109-z
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    24. Dagan, Nir, 1996. "A Note on Thomson's Characterizations of the Uniform Rule," Journal of Economic Theory, Elsevier, vol. 69(1), pages 255-261, April.
    25. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
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    More about this item

    Keywords

    Consistency; Converse consistency; Elevator Lemma; Bracing Lemma; C79; D63; D74;
    All these keywords.

    JEL classification:

    • D00 - Microeconomics - - General - - - General

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