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Tick1
I'm a little confused. People tell me that happiness generates $2 for every happiness, but when I do the math it says otherwise. The total income generated from math projects a rough $1.23 per happiness.

(+1 Happiness) $67,309 • (Total Happiness) 59.20 = (Happiness Income Generated) $3,984,692.8

(Income Generated total) $5,702,857

(Happiness Income Generated) / (Income Generated) = (Happiness Income Generated) 69.87%

(Total Income Per Citizen) 348.15 • (Happiness Income Generated) 69.87% = (Happiness Income Generated Per Citizen) $243.25

(Happiness Income Generated Per Citizen) $243.25 • (Tax Rate) 30% = (Income Generated from Happiness after taxes) 72.96

(Income Generated from Happiness after taxes) 72.96 / (Total Happiness) 59.20 = (Amount Per Happiness) $1.23

(Amount Per Happiness) $1.23 • (Modifiers) 59% = (Modifier Bonus ) 0.73

(Amount Per Happiness) $1.23 - (Modifier Bonus ) 0.73 = 0.50 cents

Thesis; So 1+ Happiness at it's base or constant = 0.50 cents

WTF! Can someone explain this madness?

Edit- (Removing Modifiers)
Schattenmann
Somebody better explain this! GET A GREMLIN IN HERE!
Derantol
Happiness gives a base income of $2, NOT taxes of $2. You can expect to get 60 cents for each happiness point. On top of that, when you have the right improvements, $1 of income comes out to $2.08 (banks, schools, etc). So one happiness equals $4.16 (closer to $4.15 when you do more accurate calculations, I think). Finally, environment affects happiness, so the discrepancy between the $1.24 that you should get and the $1.23 you are getting comes from the imperfect environment that GRL gives us.

EDIT: Should I take my explanation down cause I'm not a Grämlin?
Tick1
QUOTE (Derantol @ Oct 1 2009, 02:39 AM) *
Happiness gives a base income of $2, NOT taxes of $2. You can expect to get 60 cents for each happiness point. On top of that, when you have the right improvements, $1 of income comes out to $2.08 (banks, schools, etc). So one happiness equals $4.16 (closer to $4.15 when you do more accurate calculations, I think). Finally, environment affects happiness, so the discrepancy between the $1.24 that you should get and the $1.23 you are getting comes from the imperfect environment that GRL gives us.

EDIT: Should I take my explanation down cause I'm not a Grämlin?


I edited my final conclusion removing the modifiers.
Donnerjack
Looks like a gameplay discussion.
Katsumi
QUOTE (Tick1 @ Oct 1 2009, 01:53 AM) *
I'm a little confused. People tell me that happiness generates $2 for every happiness, but when I do the math it says otherwise. The total income generated from math projects a rough $1.23 per happiness.

(+1 Happiness) $67,309 * (Total Happiness) 59.20 = (Happiness Income Generated) $3,984,692.8

(Income Generated total) $5,702,857

(Happiness Income Generated) / (Income Generated) = (Happiness Income Generated) 69.87%

(Total Income Per Citizen) 348.15 * (Happiness Income Generated) 69.87% = (Happiness Income Generated Per Citizen) $243.25

(Happiness Income Generated Per Citizen) $243.25 * (Tax Rate) 30% = (Income Generated from Happiness after taxes) 72.96

(Income Generated from Happiness after taxes) 72.96 / (Total Happiness) 59.20 = (Amount Per Happiness) $1.23

(Amount Per Happiness) $1.23 * (Modifiers) 59% = (Modifier Bonus ) 0.73

(Amount Per Happiness) $1.23 - (Modifier Bonus ) 0.73 = 0.50 cents

Thesis; So 1+ Happiness at it's base or constant = 0.50 cents

WTF! Can someone explain this madness?

Edit- (Removing Modifiers)


From what I can tell, you did your math wrong. You should multiply by the reciprocal of your modifiers (which is about 48.65%) to find the unmodified value, based on the principle that x/y * y/x = 1. The +2 money per happiness is before taxes, so cut the * 30% out. Working this out came came within rounding error of 2.

And I did it all while intoxicated!
Viluin
It's $2.00 gross before modifiers. For me, 1 happiness is exactly $4.00 gross (my environment isn't perfect). Just do something to lower your happiness by 1 and see the result.
Tick1
QUOTE (Katsumi @ Oct 1 2009, 05:15 AM) *
From what I can tell, you did your math wrong. You should multiply by the reciprocal of your modifiers (which is about 48.65%) to find the unmodified value, based on the principle that x/y * y/x = 1. The +2 money per happiness is before taxes, so cut the * 30% out. Working this out came came within rounding error of 2.

And I did it all while intoxicated!


I understand what you are saying, but the unmodified base shouldn't be greater than the modified base. Do you understand why I disagree with your statement?
Tick1
QUOTE (Viluin @ Oct 1 2009, 10:51 AM) *
It's $2.00 gross before modifiers. For me, 1 happiness is exactly $4.00 gross (my environment isn't perfect). Just do something to lower your happiness by 1 and see the result.


I already know the amount of money I lose without one happiness. I'm trying to compare the base value of happiness to money. Your statement also concludes that after tax you receive 1.20 per happiness.

$4 • 30% = $1.20
Viluin
QUOTE (Tick1 @ Oct 1 2009, 02:10 PM) *
I already know the amount of money I lose without one happiness. I'm trying to compare the base value of happiness to money. Your statement also concludes that after tax you receive 1.20 per happiness.

$4 • 30% = $1.20


I don't understand what you're trying to do here.

1 point of happiness equals $1.23 after taxes for your nation.

(1.23 / 3) * 10 = $4.10 (gross income)

All the modifiers (schools, banks, universities, foreign ministry) are 1.35 * 1.25 * 1.16 * 1.05 = 2.06.

$4.10 / 2.06 = 1.99

So you can see, the base value of 1 happiness point is $2.00 gross income, or $0.60 after taxes. It's less than $2 for your nation due to GRL.
Mirreille
It's a minor quibble, but you forgot to add the Harbor bonus Viluin, so the modifier for a nation with all the improvements is 2.07, not 2.06. Eventually you can get the SDC and boost it to 2.11, but that is only for very large nations.
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