Ruler Authority

=Introduction=

In M&T 3.0, every ruler has a potential power and a real capacity or ability to exert that power in his realm. This also includes Republic Leaders.

Executive Authority
There is a modifier in the government tab called Executive Authority which first shows the 'original' skill of the ruler and the real one after Executive Power:

Ruler Authority & Institutional Authority
There are 2 types of direct modifiers that change the ruler original skill for better or worse. One is Ruler Authority, which depends on several factors such as reforms, ideas, government types, traits, etc. It represents the executive capacity of a ruler to be able to rule by his own will. Strong rulers need high Ruler Authority to be able to fully exert their will and power on a realm.

Then we have Institutional Authority, which is the counter part; it implies how well a country can be governed by itself without the necessity of a strong capable ruler. This one also depends on factors such as reforms, ideas, government types. Republics have by default a much higher Institutional Authority for example. A very weak ruler can get it's stats boosted by a strong Institution, since despite being 'stupid' he has strong advisors and a strong institutional system that enhances him and helps him/her rule. On the other hand, strong rulers like 6 / 6 / 6 won't be able to rule with free will on a powerful institutional country, and his stats (ruling capacity) would go down.

Ruler Authority and Institutional Authority cannot go beyond 100 each, and the sum of both of them can be larger than 100. There is a cap to how much you can have of one and the other, having 100 of one makes it so the other one cannot be higher than 33%. If one is 80, the other cannot go higher than 46, and so on so forth. Note that sometimes the impact on changes is not immediate, since countries take time to adjust to the new Authorities.

Calculation and Examples
The ruler skill is calculated as follows:


 * 1)  [Ruler skill * (Ruler Authority)] / 100 = X

Then we have:


 * 2)  4 * [Institutional authority * 0.01] = Y      (4 is a fixed value)

Afterwards;


 * 3)  X + Y = Z


 * 4)  Ruler Skill - Z = P

For every +1 value of P, the skill is subtracted by 1. And for every -1, it is added.

Examples

Poland starts with Kazimierz which is a 6 / 6 / 5. Poland has 60 Ruler Authority and 40 Inst Authority.

Let's calculate the ADM:

1)  6 * 60 / 100 = 3,6 > X

2)  4 * [40 * 0.01] = 1,6 ---> Y

3)  X + Y = 3,6 + 1,6 = 5,2 --> rounded to 5 > Z

4)  6 - 5 = 1 ---> P

Since P is 1, then Kazimier loses 1 ADM.

Now let's see what happens with MIL (5) for Kazimier.

1)  5 * 60 / 100 = 3

2)  4 * [40 * 0.01] = 1,6

3)  3 + 1,6 = 4,6 -> rounded to 5

4)  5 - 5 = 0

Since P is 0, then no skill is added nor subtracted. This is why Kazimierz is originally a 6-6-5, but because of the lack of Ruler Authority in Poland, his sees his stats end in reality 5-5-5.

'''Let's see the example of Sweden who starts with a 1 / 1 / 1. Sweden also has 60 ruler authority and 40 institutional authority.'''

1)  [1 * 60] / 100 = 0.6

2)  4 * [40 * 0.01] = 1,6

3)  0,6 + 1,6 = 2,2 -> rounded to 2

4)  1 - 2 = -1

Because P is -1, this means the Skill of the ruler will go up by 1. This happens because the institutional authority of the country is strong enough to make a 1 skill shit ruler have a 2 capacity. You can think as if the Institution of the Country is ruling the country for him.

Authority
The modifier called Authority that shows next to Executive Power: displays the power or grasp a ruler has on the country. It's calculated as whatever the sum of the current ruler stats are / 18.

18 is the sum of the best possible ruler, with 6 6 6 stats, which would be a 100% authority figure.

As a quick simple example, the authority of a ruler which stats (after being calculated) are 2-4-3 would be = 2 + 4 + 3 / 18 = 0,5 -> 50%. That means the ruler is half as strong as it could be.

Power Void
Power void is a measure of the absence of authority from a ruler in a country. The weaker the ruler, the higher the gap or 'void' it creates, exponentially. Power void adds to national corruption. It is calculated as it follows. Ruler Authority / 100 = X

(1 - X) * (1 - X) * 100 = Power Void

Example

A ruler with 66 authority->

(1 - 0,66) * (1 - 0,66) * 100 = 11,56 -> Power Void Now for example, a ruler with half the authority -33- leaves a power void of:

(1 - 0,33) * (1 - 0,33) * 100 = 44,89 Despite the authority went down only by half, because of the exponential feature of how power void is calculated, power void went up by actually 4 times.

Summay
Bad rulers in a country with low Institutional Authority can be a real problem, since there is no government apparatus to help weak rulers rule, meaning if they are weak, they will remain weak. A continuous set of weak rulers can lead to catastrophic results for your country due to Power Void and the corruption it generates. Corruption makes everyone stronger inside your country but yourself.

On the other hand, having low Ruler Authority will make it so if you get extremely strong rulers, you will not be able to utilize their full impact. The government apparatus in that case would act more as an obstacle than as an enhancer.