Offensive over defensive cost ratio for same combat values : it is a useful measure to evaluate the comparative higher cost of a given attack value over the same defensive value.
For instance, Tank gives a 1.00 offensive/defensive cost ratio because attack 3 and defense 3 is the same cost at 6 IPCs.
3 air attack over 3 ground defense cost gives Fg A3 C10 vs Tank D3 C6 = 1.67 off/defense IPC cost ratio.
6 attack points from Tanks against 6 Infantry defense gives A6 C12 vs D6 C9 = 1.33 off/defense IPC ratio.
6 attack points from Tanks against 6 Artillery defense gives A6 C12 vs D6 C12 = 1.00 off/defense IPC ratio.
4 air attack over 4 air defense cost gives StB A4 C12 vs Fg D4 C10 = 1.20 off/def IPC ratio.
2 artillery ground attack over 2 Infantry ground defense gives Art A2 C4 vs Inf D2 C3 = 1.33 off/def cost ratio.
2+2 ground attack over 2+2 ground defense gives Inf+Art A2+A2 C7 vs 2 Inf D2+D2 C6 = 1.17 off/def ratio.
So, this offense/defense cost ratio for the same value goes from 1 to up to 1.67 in regular combat.
However, for G40 OOB SBR it is quite better than anything above:
Break even point: 10 StBs A1 C12 D6+2 vs 19 Fgs D1 C10
Break even ratio: 10/19= 0.526 StB/Fg
0.526*12 IPCs=
6.32 IPCs/10 IPCs = 0.632 offense/defense cost ratio
Approximative Interception Threshold: from 1.55 StB/Fg and less
To provide another extreme comparison point in the spectrum of SBR, I will use
Balanced Mode StB A1 C12 vs Fg A2 D2 C10:
Break even point: 89 StBs A1 C12 D6+2 vs 77 Fgs D2 C10
1.156 StB/Fg break even ratio
*12 IPCs=13.87 IPCs/10 IPCs = 1.39 offense/defense IPC ratio
This is very similar to tank against infantry (1.33) off/def cost ratio.
Now, this is what happen with C5 A0 D6 bomber vs Fg A1 D1 C10:
Break even point C5, 1D6 damage: near 1 StB A0 vs 2 Fgs D1 C10: 0.5 StB/Fg
1 StB A0 vs 2 Fgs D1 : + 2.025 - 2.106 = -0.081 IPCs
12 StB vs 23 Fgs: exactly 0.522 StB/Fg
No FIT (Fighter Interception Threshold), always beneficial to Intercept.
0.522 StB/Fg*C5 StB / C10 Fg = 0.266 offense/defense cost ratio
It is litterally over 50% less than G40 OOB SBR (0.632 vs 0.266) and this is already far below regular combat off/def values (see above).
The good thing is StB having no attack value, it cost nothing trying to intercept them.
But, for the cost, StBs are now twice as effective than G40 OOB bombers when trying to intercept or counter them with C10 Fg.
And StB A1 C5 vs Fg A2 D2 C10 would be more broken with their attack capacity on costly Fg:
Break even point: 16 StBs vs 31 Fgs, 16/31= 0.516 StB/Fg
0.516 StB/Fg*C5 StB / C10 Fg = 0.258 offense/defense cost ratio
This will be slightly more cost effective than A0 StB (0.266) and, in addition, a bunch of StBs will be a pretty good deterrent against interception.
However, to my surprise, keeping StB A0 C5 D6 damage but rising Fg to A2 D2 (or A1 D2) bring a better but similar off/def cost ratio value to OOB G40 (0.632) : 0.567 offense/defense cost ratio
And has a slightly lower break even ratio than Balance Mode (1.39 StB/Fg) but without any Fighter Interception Threshold due to A0 Bomber.
Here is the calculation:
Break even point StB A0 C5, 1D6 damage vs Fg A1 D2: 17 StBs vs 15 Fgs: 1.133 StBs/Fg
1.133 StBs/Fg*C5 StB / C10 Fg = 0.567 offense/defense cost ratio
@Baron:
Black Elk Strategic Bomber 5 IPC A1 D0
Strategic Bomber in air-to-air combat SBR:
Attack 1
Bombard IC or AB or NB damage: 1D6
Fighter in air-to-air combat SBR:
Attack 2
Defend 2
Tactical Bomber in air-to-air combat SBR:
Attack 1
Bombard AB or NB damage: 1D6
IC’s AAA: @1 against each Strategic Bomber
Naval Base or Air Base: @1 against each Strategic Bomber or Tactical bomber
Break even ratio for x StB A1 vs y Fg D2 C10:
OOB G40 SBR: 10/19= 0.526 StB/Fg
Cost 5 D6 damage: 16 StBs vs 31 Fgs, 16/31= 0.516 StB/Fg
Cost 6 D6 damage: 19 Stbs vs 29 Fgs, 19/29= 0.655 StB/Fg
Fighter Interception Threshold (FIT) and Fighter Interception Gap (FIG)
G40 OOB: from 1.55 StB/Fg and less (.526 to 1.55)
Cost 5: near 6 StBs vs 4 Fgs= from 1.5 StB/Fg and less (.516 to 1.5)
Cost 6: near 5 StBs vs 3 Fgs= from 1.67 StB/Fg and less (0.655 to 1.67)
Break even point C5, 1D6 damage: near 1 StB A0 vs 2 Fgs D1 C10: 0.5 StB/Fg
1 StB A0 vs 2 Fgs D1 : + 2.025 - 2.106 = -0.081 IPCs
12 StB vs 23 Fgs: exactly 0.522 StB/Fg
No FIT (Fighter Interception Threshold), always beneficial to Intercept.
Break even ratio: 16 StBs D6 dmg A1 C5 vs 25 Fgs D2 C7 = near 0.64 StB/Fg
1 StB A1 C5 vs 1 Fg D2 C7
1D6: +3.111 - 2.222 = +0.889 IPCs damage/SBR7= +6.223
1 StB A1 C5 doing SBR against 2 intercepting Fgs D2 C7
1D6: +2.463 - 3.148 = -0.685 IPCs damage/SBR9= -6.165 [Diff.: +0.058]
Fighter Interception Threshold (FIT): 5 StBs A1 C5 vs 2 Fg D2 C7 = 2.5 StBs/Fg.
So the FIGap is between .64 StB/ Fg to up to 2.5 StBs/Fg
@Baron:
1942.2 SBR Black Elk hypothesis
Strategic Bomber
Attack 0
Damage 1D6, 1D6+2
Cost 5
Fighter
Attack 1
Defense 2
Cost 10
Break even point StB A0 C5, 1D6+2 damage vs Fg A1 D2: 21 StBs vs 30 Fgs: 0.700 StB/Fg
1StB D6+2 vs 1Fg D2: + 3.056 - 2.222= + 0.834 IPC damage/SBR12= +10.008
1StB D6+2 vs 2Fgs D2: +2.037 - 3.148 = -1.111 IPC damage/SBR9= -9.999 (Diff.: +0.009)
21 StB vs 30 Fgs: 0.700 StB/Fg
No FIT (Fighter Interception Threshold), always beneficial to Intercept.
Break even point StB A0 C5, 1D6 damage vs Fg A1 D2: 17 StBs vs 15 Fgs: 1.133 StBs/Fg
1 StB D6 vs 1Fg D2: + 1.944 - 2.222 = -0.278 IPC damage/SBR13 = -3.614
2 StBs D6 vs 1Fg D2: +4.861 - 3.056= +1.805 IPCs damage/SBR2= +3.610 (Diff.: -0.004)
17 StBs vs 15 Fgs: 1.133 StBs/Fg
No FIT (Fighter Interception Threshold), always beneficial to Intercept.
And for my own home-brewed HR with StB C5 vs Fg A2 D2 C7 off/def cost ratio is:
Break even ratio: 16 StBs D6 dmg A1 C5 vs 25 Fgs D2 C7 = near 0.64 StB/Fg
0.64 StB/Fg *C5 StB / C7 Fg = 0.457 offense/defense cost ratio not that bad compared to G40 OOB (0.632).
But still more cost efficient.
