Fair representation and a linear Shapley rule

B-Tier
Journal: Games and Economic Behavior
Year: 2018
Volume: 108
Issue: C
Pages: 152-161

Authors (3)

Kurz, Sascha (not in RePEc) Maaser, Nicola (not in RePEc) Napel, Stefan (Universität Bayreuth)

Score contribution per author:

0.670 = (α=2.01 / 3 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

When delegations to an assembly or council represent differently sized constituencies, they are often allocated voting weights which increase in population numbers (EU Council, US Electoral College, etc.). The Penrose square root rule (PSRR) is the main benchmark for ‘fair representation’ of all bottom-tier voters in the top-tier decision making body, but rests on the restrictive assumption of independent binary decisions. We consider intervals of alternatives with single-peaked preferences instead, and presume positive correlation of local voters. This calls for a replacement of the PSRR by a linear Shapley rule: representation is fair if the Shapley value of the delegates is proportional to their constituency sizes.

Technical Details

RePEc Handle
repec:eee:gamebe:v:108:y:2018:i:c:p:152-161
Journal Field
Theory
Author Count
3
Added to Database
2026-01-26