Anthony apportionment method

The Anthony apportionment method is the first of the three Anthony methods used in the electoral system of the Parthenian Economic Union. It is used to apportion mandates within the Parthenian Parliament and representatives of the Parthenian Convention, ensuring the representation of each member states' population based on the principle of degressive proportionality.

Functionality

The main equation for the apportionment is following:

S(x)=⌊(p^λ(x):∑(i=1→n)p^λ(i))·(S_Σ-(S(P)+S₁·n))⌋+S₁

S_Σ is the total number of seats to be apportioned (currently, S_Σ=500)

S(P) is the number of seats reserved for the Parthenian-wide constituency (currently, S(P)=50)

S₁ is considered to be a reserved minimum of seats (currently, S₁=1)

p(x) is the population of the country x

n is the number of member states as of the time of apportionment (currently, n=13)

λ is the leveling constant (currently, λ=0.66666666666667)

Reserved minimum

The reserved minimum {S₁ is the minimum of seats one nation can recieve. Currently, the number is set to 1, ensuring that even a nation with a minimum of people living in it recieves at least a single mandate during the apportionment.

Secondary apportionment

Secondary apportionment is the main process of apportionment, between 425 and 437 mandates are apportioned in it.

Those mandates are distributed based on the principle of degressive proportionality based on the application of the leveling constant on member state's population in a way of a modified wikipedia:Penrose method. The sum of mandates apportioned to a member state through the reserved minimum and the secondary apportionment constitutes the number of mandates the member state recieves in the institution, disregarding the compensatory seats.

Leveling constant

The compensatory constant λ is the fraction that describes the power to which the population of the member states is raised. Currently, this constant is equal to 0.66666666666667. That means, that if there are two nations, with the populations of 27,000 and 1,000,000 inhabitants respectively (meaning that the values p^λ are equal to 900 and 10,000 respectively), the small nation, despite constituting only approximately 2.63% of the population recieves 8.26% of the seats.

Parthenia-wide constituency

See also: Anthony voting method

TBA

Compensatory seats

TBA

New members

TBA

Current apportionments

Currently, there are 13

[V]

State	Population	Seats	Remainder	Inhabitants per MPP
		Almagria	47,702,401	64	0.706	745,350
Angland	49,884,032	66	0.634	755,819
Bogmia	12,304,654	26	0.815	473,256
Brynmor	5,156,286	15	0.456	343,752
Charmelcia	5,466,011	16	0.029	341,626
Eisenland	17,724,731	33	0.926	537,113
Leciria	10,637,713	24	0.427	443,238
Livania	63,222,442	77	0.866	821,071
Monteblanco	7,925,465	20	0.253	396,273
Telekia	7,889,827	20	0.195	394,491
Vermand	68,003,293	81	0.694	839,547
Parthenia-at-large	—	50	—	5,918,337
Total	295,916,855	492	8	—