TY - JOUR

T1 - The network of weighted majority rules and its geometric realizations

AU - Karotkin, Drora

AU - Schaps, Mary

PY - 2003/1

Y1 - 2003/1

N2 - In a previous work the first author considered the network G(n, p) of weighted majority rules (WMR) for n decision makers whose competencies are given by their probabilities p = (p1,..., pn) of making a correct decision. On this paper we consider chains of decision profiles, which must occur in G(n, p) in a fixed order, and show that they can be mapped onto straight lines in a low-dimensional geometric realization. The minimal number of directions which must used to separate all edges is given as the chromatic number of a certain incidence graph. We also define degenerate networks in which several nodes coalesce.

AB - In a previous work the first author considered the network G(n, p) of weighted majority rules (WMR) for n decision makers whose competencies are given by their probabilities p = (p1,..., pn) of making a correct decision. On this paper we consider chains of decision profiles, which must occur in G(n, p) in a fixed order, and show that they can be mapped onto straight lines in a low-dimensional geometric realization. The minimal number of directions which must used to separate all edges is given as the chromatic number of a certain incidence graph. We also define degenerate networks in which several nodes coalesce.

UR - http://www.scopus.com/inward/record.url?scp=0037728941&partnerID=8YFLogxK

U2 - 10.1016/s0899-8256(02)00536-5

DO - 10.1016/s0899-8256(02)00536-5

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AN - SCOPUS:0037728941

SN - 0899-8256

VL - 42

SP - 75

EP - 90

JO - Games and Economic Behavior

JF - Games and Economic Behavior

IS - 1

ER -