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Fusion (combination)

From electowiki

Fusion is one of the types of combination techniques for mixed systems and other hybrid multi-member methods. It is an independent type of combination technique.[1]

If a winner-take-all (partisan single winner) system is fused with a proportional system, it is called a bonus system (usually plurality or "majority") bonus.

When fusion is used alongside other combinations, like superposition or coexistence, it is a supermixed system. A jackpot system is a conditional and compensatory sort of variant of the bonus, also by default based on fusion.

Bonus and jackpot

Size of

bonus (%)

Size of

jackpot (%)

Vote share of the

largest party (%)

Appr. seat share of the largest party (%) Effective bonus
Bonus system Jackpot system
10% 45% 51% 6%
25% 45% 59% 14%
50% 45% 73% 28%
50% 45% 50% 5%
55% 45% 55% 10%
60% 45% 60% 15%
10% 55% 60% 5%
25% 55% 66% 11%
50% 55% 78% 23%
50% 55% 55% 0%
55% 55% 55% 0%
60% 55% 60% 5%
  1. Massicotte & Blais (1999). "Mixed electoral systems: a conceptual and empirical survey". Electoral Studies. 18 (3): 341–366. doi:10.1016/S0261-3794(98)00063-8.
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