Quasi-stationary social welfare functions
Sususmu Cato ()
Theory and Decision, 2020, vol. 89, issue 1, No 4, 85-106
Abstract This paper examines collective decision-making with an infinite-time horizon setting. First, we establish a result on the collection of decisive sets: if there are at least four alternatives and Arrow’s axioms are satisfied on the selfish domain, then the collection of decisive sets forms an ultrafilter. Second, we impose generalized versions of stationarity axiom for social preferences, which are substantially weaker than the standard version. We show that if any of our generalized versions are satisfied in addition to Arrow’s axioms, then some generation is dictatorial. Moreover, we specify a very weak stationarity axiom that guarantees a possibility result.
Keywords: Arrow’s impossibility theorem; Stationarity; Quasi-stationarity: Pareto principle; Ultrafilter (search for similar items in EconPapers)
References: View references in EconPapers View complete reference list from CitEc
Citations: Track citations by RSS feed
Downloads: (external link)
http://link.springer.com/10.1007/s11238-020-09746-4 Abstract (text/html)
Access to full text is restricted to subscribers.
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:kap:theord:v:89:y:2020:i:1:d:10.1007_s11238-020-09746-4
Ordering information: This journal article can be ordered from
http://www.springer. ... ry/journal/11238/PS2
Access Statistics for this article
Theory and Decision is currently edited by Mohammed Abdellaoui
More articles in Theory and Decision from Springer
Bibliographic data for series maintained by Sonal Shukla ().