Maximal Domains for Strategy-proof or Maskin Monotonic Choice Rules

Olivier Bochet () and Ton Storcken

Diskussionsschriften from Universitaet Bern, Departement Volkswirtschaft

Abstract: Domains of individual preferences for which the well-known impossibility Theorems of Gibbard-Satterthwaite and Muller-Satterthwaite do not hold are studied. First, we introduce necessary and sufficient conditions for a domain to admit non-dictatorial, Pareto efficient and either strategy-proof or Maskin monotonic social choice rules. Next, to comprehend the limitations the two Theorems imply for social choice rules, we search for the largest domains that are possible. Put differently, we look for the minimal restrictions that have to be imposed on the unrestricted domain to recover possibility results. It turns out that, for such domains, the conditions of inseparable pair and of inseparable set yield the only maximal domains on which there exist non-dictatorial, Pareto efficient and strategy-proof social choice rules. Next, we characterize the maximal domains which allow for Maskin monotonic, non-dictatorial and Pareto-optimal social choice rules.

Keywords: Strategy-proofness; Maskin monotonicity; Restricted domains; Maximal domains (search for similar items in EconPapers)
JEL-codes: C72 C78 D61 D63 D71 (search for similar items in EconPapers)
Date: 2008-08
New Economics Papers: this item is included in nep-cdm, nep-gth and nep-upt
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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