Contents

Description of CHPV and GV

Introduction
Analogy
Weightings
Voting
Counting
Outcomes
Party-List
Summary

Evaluations of CHPV and GV

Ranked Ballot

Introduction (RB)
General Criteria
Majority Criteria
Clones & Teaming
Teaming Thresholds
Summary (RB)

Party-List

Introduction (PL)
Diagrams & Maps
CHPV Maps
Optimality
Party Cloning
Proportionality
Summary (PL)

Comparisons of CHPV with other voting systems

Single-Winner

Introduction (SW)
Plurality (FPTP)
Borda Count
Geometric Voting
Positional Voting
Condorcet Methods
AV (IRV)
Plur. Rule Methods
Summary (SW)

Multiple-Winner

Introduction (MW)
STV
Party-List
PL ~ Hare
PL ~ Droop
~ Maps Opt PC Pro
PL ~ D'Hondt
~ Maps Opt PC Pro
PL ~ Sainte-Laguë
~ Maps Opt PC Pro
Mixed Member Sys
Summary (MW)

Conclusions

Ranked Ballot CHPV
Party-List CHPV

General

Table of Contents

Map Construction

Table of Contents

Mathematical Proofs

Table of Contents
Notation & Formats

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Home > Comparisons > D'Hondt > Cloning > Page 2 of 2
Last Revision: New on 25 Aug 2012

Comparisons: D'Hondt ~ Party Cloning 2

Comparative Susceptibility of CHPV and the D'Hondt Method to Party Cloning

The party cloning threshold figures for CHPV are presented in the earlier Evaluations: Party Cloning section. To enable a direct comparison between the susceptibility of CHPV and the D'Hondt method to party cloning, the relevant threshold figures for up to six winners are repeated below left for D'Hondt and below right for CHPV.

CHPV Thresholds
D'Hondt Thresholds

Where elections are held here with two or three winners (W), CHPV is not susceptible to party cloning. For four, five or six winners, CHPV is only vulnerable when party B already has the majority share of the vote. With a minority share, party B gains nothing at best but risks harming itself quite significantly.

As the D'Hondt method is never vulnerable to party cloning in this election scenario, CHPV cannot outperform it in this respect. However, as shown in the previous section, CHPV does have a significantly higher optimality than the D'Hondt method when its optimality is around its peak value. This peak varies with the number of parties competing in a CHPV election but it occurs at about four or five seats for up to nine parties.

As party-list CHPV elections are conducted concurrently across multiple few-winner constituencies, outcomes are significantly more likely to be optimally proportional than those where the D'Hondt approach is used instead. However, it is critical with CHPV to ensure that the number of seats per constituency is optimal for the anticipated number of parties that will contest an election. Otherwise, the D'Hondt method is likely to produce the more proportional set of results.


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