An impossibility under bounded response of social choice functions

Nozomu Muto and Shin Sato

Games and Economic Behavior, 2017, vol. 106, issue C, 1-15

Abstract: We introduce a new axiom called bounded response, which states that for each “smallest” change of a preference profile, the change in the social choice must be “smallest,” if any, for the agent who induces the change in the preference profile. We show that bounded response is weaker than strategy-proofness, and that bounded response and efficiency imply dictatorship. This impossibility has a far-reaching negative implication: on the universal domain of preferences, it is difficult to identify a non-manipulability condition that leads to a possibility result.

Keywords: Bounded response; Strategy-proofness; Non-manipulability; Gibbard–Satterthwaite theorem (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:106:y:2017:i:c:p:1-15

DOI: 10.1016/j.geb.2017.08.013

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