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UID:b80bc5021c5960356299e63c90f6974c
CATEGORIES:Seminars
CREATED:20181008T165710
SUMMARY:Lunch Seminar: Shmuel Zamir - The Hebrew University of Jerusalem
DESCRIPTION;ENCODING=QUOTED-PRINTABLE:\n\nJudgments Aggregation by a Sequential Majority Procedure (joint with Be
 zalel Peleg)\n\n\nAbstract:\nWe consider a standard model of judgment aggre
 gation as presented, for example, in Dietrich (2015). For this model we int
 roduce a sequential majority procedure (SMP) which uses the majority rule a
 s much as possible. The ordering of the issues is assumed to be exogenous. 
 The definition of SMP is given in Section 2. In Section 4 we construct an i
 ntuitive relevance relation for our model, closely related to conditional e
 ntailment, for our model. While in Dietrich (2015), the relevance relation 
 is given exogenously as part of the model, we insist that the relevance rel
 ation be derived from the agenda. We prove that SMP has the property of ind
 ependence of irrelevant issues (III) with respect to (the transitive closur
 e of) our relevance relation. As III is weaker than the property of proposi
 tion-wise independence (PI) we do not run into impossibility results as doe
 s List (2004) who incorporates PI in some parts of his analysis. We proceed
  to characterize SMP by anonymity, restricted monotonicity, local neutralit
 y, restricted agenda property, and independence of past deliberations (see 
 Section 3 for the precise details). SMP inherits the first three axioms fro
 m the Majority Rule. The axiom of restricted agenda property guarantees seq
 uentiality. The most important axiom, independence of past deliberations (I
 PD), says that the choice at time (t +1) depends only on the choices in dat
 es 1; : : : ; t and the judgments at (t +1) (and not on the judgments in da
 tes 1; : : : ; t) . Also, we use this occasion to point out that Roberts (1
 991) characterization of choice by plurality voting may be adapted to our m
 odel.\n
DTSTAMP:20260405T192420Z
DTSTART:20181017T130000Z
DTEND:20181017T140000Z
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