## Which Figures are Cheaper in WARMACHINE MKII

The problem with figuring out what figures cost in WARMACHINE MKII is that the entire point scale has radically changed. That is where the above equation comes in. I'm not sure what kind of math education everyone has, so I'll break it down in just a bit.

Here is the basic idea behind the formula:

Since the point scale has so radically changed, we cannot compare absolute point values. Instead, we compare relative point values.

For example, in MKI, a Charger cost 75 points and an Ironclad cost 103. To define a relative point cost between the two units, we divide the Charger's Cost by the Ironclad's cost.

75 / 103 = .73. Therefore, a Charger cost .73 of what an Ironclad cost.

Now, in MKII, a Charger costs 4 and an Ironclad costs 7. Repeat the relative point cost step:

4 / 7 = .57. In this case, the Charger costs .57 of what an Ironclad costs.

Since .57 is less then .73, we know that the Charger is cheaper in MKII then it was in MKI when compared with the Ironclad.

By performing this same calculation against many different units, we can start to see if a unit is actually cheaper overall.

I posted six different charts above. The top row corresponds to some of the common Cygnar units that I run in my Cygnar Battle Force. The second row contains the Menoth units from Prime Remix.

To read a chart, select a unit from the left hand column and then read the numbers from left to right. The first charts compare the point values of the units from MK I. The second chart compares the point values from MK II. The third chart compares the relative point values from the two editions to show if that particular unit is cheaper or more expensive in MKII when compared with other units. Also in the third chart, I take the average of all the relative point values to determine if the unit is cheaper or more expensive overall.

Understanding the Equation

Now that we have seen the equation in action, lets take a look at how the equation works.

This equation is used to figure out the relative cost of a single unit under the MK II rules.

Take a set of WARMACHINE units. We will call this set S. The set S has C number of units in it. In my two examples, each set S had 10 units in it. Therefore, the value of C is 10. Each unit has two point values associated with it. MK1 is the point value of the unit in the MK I rule set and MK2 is the point value in the MK II rule set.

The fancy symbol there is the Greek Letter Sigma. In mathematics it is the summation operator. Essentially the equation which appears on the right hand side of sigma will be added together over and over again. Though, in each addition, some number in the equation will change. The reality is that you are adding the different values over and over again. The number of additions that will be performed is set by the parameters off the summation. The symbol which appears directly below the summation states where to start and the symbol above the summation tells where to stop. In our example, we will start at 1 and perform a number of additions equal to number of units in our set.

As for the equation on the right hand side of the sigma. The MK1 and MK2 values which have a subscript of i will be replaced with the point values of the unit we are working with. The MK1 and MK2 values with a subscript n will be replaced with the point value of unit we are comparing our working unit with.

Finally, once the summation is done, we divide that value by the size of the set of units to get the average.

Lets take a look at an example:
We want to figure out if the Charger is a better value is WARMACHINE MKII. Its MK1 and MK2 values are 75 and 4.

Our set will be:
Ironclad MK1 - 103 MK2 - 7
Stormsmith MK1 - 12 MK2 - 1
Hunter MK1 - 88 MK2 - 6
Lancer MK1 - 76 MK2 - 6

For the summation, we perform the following operations:

(4/7)/(75 / 103) + (4/1)/(75/12) + (4/6)/(75/88) + (4/6)/(75/76) =

.57/.73 + 4/6.25 + .66/.85 + .66/.98 =

.78 + .64 + .77 + .67 = 2.86

To calculate the average relative value, divide the result by the number of units in the set(which is 4).

2.86 / 4 = .715.

If this number is less then one, then this unit is cheaper in MK II then MK I when compared with these units. Otherwise, the unit is more expensive in MK II.

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