RE: Partisans Deployemnt
Posted: Wed Feb 01, 2017 5:47 pm
I posed the question on BoardGameGeek. They suggested what dies change is the distribution of results, not the quantity of results. Basically higher chances of more partisans than the WiF method - and higher chances of no partisans. Along with obliterating the dustribution of the groups of countries.
The first die selects a group of countries, thus every country is tested every turn. But in MWiF, the first die roll is re-rolled for every country - a change.
I posed the question as a generic one, using 'provinces' and 'rebellions'. Here is the most applicable response:
Edit: in a moment. X here you go, couldn't risk browser erasing post:
If we assume 50 provinces, from wich 30 are twice in the grid (thus have a 20% chance to test) and 20 are once in the grid (10% chance to test), and give all those provinces a 30% chance to rebel if tested, you get:
Scheme 1:
You test 8 provinces, with a 30% chance to rebel: Expected value: 2.4 rebellions, variance: 1.29. Die rolls: 9
Scheme 2:
You test 20 provinces with 3% chance to rebel, 30 provinces with 6% chance to rebel: Expected value: 2.4 rebellions, variance: 1.82. Die rolls: 50 rolls of two dice.
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Bottom line: You definitively don't change the total number of rebellions in the long run, but you do create a higher chance to have many rebellions in a single turn and then many turns of nothing happening.
The first die selects a group of countries, thus every country is tested every turn. But in MWiF, the first die roll is re-rolled for every country - a change.
I posed the question as a generic one, using 'provinces' and 'rebellions'. Here is the most applicable response:
Edit: in a moment. X here you go, couldn't risk browser erasing post:
If we assume 50 provinces, from wich 30 are twice in the grid (thus have a 20% chance to test) and 20 are once in the grid (10% chance to test), and give all those provinces a 30% chance to rebel if tested, you get:
Scheme 1:
You test 8 provinces, with a 30% chance to rebel: Expected value: 2.4 rebellions, variance: 1.29. Die rolls: 9
Scheme 2:
You test 20 provinces with 3% chance to rebel, 30 provinces with 6% chance to rebel: Expected value: 2.4 rebellions, variance: 1.82. Die rolls: 50 rolls of two dice.
*************
Bottom line: You definitively don't change the total number of rebellions in the long run, but you do create a higher chance to have many rebellions in a single turn and then many turns of nothing happening.