Online Social Choice and Welfare Seminar: Susumu Cato, Tuesday 15 April
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Marcus Pivato
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Apr 9, 2025, 4:24:43 AMApr 9
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[with apologies for cross-posting]
Dear all,
The next presentation in the Online Social Choice and Welfare Seminar will be next Tuesday (15 April). Here are the details. Time:
9AM GMT (5AM Toronto/Montreal, 6AM Rio de Janeiro, 10AM London, 11AM
Paris, 12PM Istanbul, 2:30PM New Delhi, 6PM Tokyo/Seoul, 7PM Sydney, 9PM
Auckland)
Abstract:
We propose a new class of social quasi-orderings in a
variable-population setting. In order to declare one utility
distribution at least as good as another, the critical-level utilitarian
value of the former must reach or surpass the value of the latter. For
each possible absolute value of the difference between the population
sizes of two distributions to be compared, we specify a non-negative
threshold level and a threshold inequality. This inequality indicates
whether the corresponding threshold level must be reached or surpassed
in the requisite comparison. All of these threshold critical-level
utilitarian quasi-orderings perform same-number comparisons by means of
the utilitarian criterion. In addition to this entire class of
quasi-orderings, we axiomatize two important subclasses. The members of
the first subclass are associated with proportional threshold
functions, and the well-known critical-band utilitarian quasi-orderings
are included in this subclass. The quasi-orderings in the second
subclass employ constant threshold functions; the members of this second
class have, to the best of our knowledge, not been examined so far.
Furthermore, we characterize the members of our class that (i) avoid
the repugnant conclusion; (ii) avoid the sadistic conclusions; and (iii)
respect the mere-addition principle.
To obtain the Zoom link, please subscribe to the Seminar Mailing List, or contact one of the organisers.
Reminder: On the seminar website
you can find the video recordings, slides and supplementary materials
for all past presentations, as well as information about future
presentations.