Without going too much into maths, I made tables to compare various SBR models according to rules from Global 40, 1942.2, 1942.2 TRIPLE A with Global rules and many more variations, the simplest way to balance SBR for 1942.2 is to increase damage from D6 to D6+2.
Hi everyone,
here is a few datas and summary collected after a lot of calculations and messed up tables, here is a real discovery to help any discussion over benefits and disadvantage of various SBR values. Hope you will find interesting numbers to provides some reasons behind intuitive conclusions on SBRs.
I found a useful analysis tool to compare average results of various SBR combat values and cost per unit:
Break even point and ratio:
In Strategic Bombing Raid, it is the number of attacking aircraft unit needed compared to intercepting Fg to get even odds on both sides (+0.00 IPC damage/SBR).
Break even ratio is a fraction number of Strategic bomber over a single intercepting fighter to reach an even odds of winning or loosing IPCs in a single air raid compared to the defender odds of inflicting damage. A ratio above 1 means that you need more than only 1 Bomber against 1 intercepting Fighter to reach a profitable threshold in SBR; while a ratio below 1 means that making a raid with at least 1 bomber against 1 Fighter interceptor is always advantageous for the attacker.
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 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.
Here is a very comprehensive table of various SBR values from stronger to weaker SBR from attacker POV:
G40.2 SBR OOB
Bomber A1
Damage: 1D6+2
Cost 12
Fighter A1 D1
Cost 10
1 StB A1 doing SBR against 1 Fg D1
D6+2: + 5.486 - 3.667 = +1.819 IPC damage/SBR, 1 vs 1
StB A1 doing SBR against 2 Fgs D1
D6+2: +4.85 - 5.056 = -0.206 IPCs damage/SBR
*9= -1.854, 9 vs 18
Net: -0.035
For 1 StB vs 1 Fg
- 9 StBs vs 18 Fgs
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=
6.32 IPCs/10 IPCs = 0.632 offense/defense cost ratio
G40.2 SBR HR
Bomber A0
Damage: 1D6+3
Cost 12
Fighter A1 D1
Cost 10
1 StB A0 damage D6+3 doing SBR against 1 Fg D1
D6+3: +4.514 - 3.667 = +0.847 damage/SBR
*26= +22.022, 26 vs 26
1 StB Att 0 D6+3 doing SBR against 2 Fgs D1
D6+3: +3.762 -5.056 = -1.294 IPCs damage/SBR
*17= -21.998, 17 vs 34
Net: +0.024
For 26 StBs vs 26 Fg
- 17 StBs vs 34 Fgs
Break even point: 43 StBs A0 D6+3 vs 60 Fgs D1
43/60= 0.717 StB/Fg break even ratio
8.6 IPCs/10 IPCs = 0.86 offense/defense ratio
G40.2 SBR HR
Bomber A1 First Strike as AAA against up to 2 Fgs which ever the lower,
Damage: 1D6+2
Cost 12
Fighter A2 D2
Cost 10
A1fs as AAA vs up to 2, D6+2 vs D2
1 StB vs 1 Fg 0.199 IPCs damage/SBR
*10= +1.990, 10 vs 10
1 StB vs 2 Fgs -0.662 IPCs damage/SBR
*3= -1.986, 3 vs 6
Net: +0.004
For 10 StBs vs 10 Fgs
- 3 StBs vs 6 Fgs
Break even point: 13 StBs A1fs C12 D6+2 vs 16 Fgs D2 C10
0.8125 StB/Fg break even ratio
9.75 IPCs/10 IPCs = 0.975 offense/defense IPC ratio
Young Grasshopper HR
G40.2 SBR HR
Bomber A0 but 1 Attack @1 per bomber group
Damage: 1D6+2
Cost 12
Fighter A1 D1
Cost 10
StB 1A1+xA0, D6+2 vs Fg D1
2 StBs A1+A0 against 3 Fgs D1
1 StB A1 vs 1 Fg D1: + 5.486 - 3.667 = + 1.819 IPCs, 1 vs 1
1 StB A0 vs 2 Fgs D1: + 3.183 - 5.056 = - 1.873 IPCs, 1 vs 2
OR
1 StB A1 vs 2 Fgs D1: + 4.850 - 5.056 = - 0.206 IPCs, 1 vs 2
1 StB A0 vs 1 Fg D1: + 3.819 - 3.667 = + 0.152 IPC, 1 vs 1
Sum: + 8.669 - 8.723 = - 0.054 IPC damage/SBR
Net: -0.054
Break even point: 2 StBs A1/A0 C12 D6+2 vs 3 Fgs D1 C10
0.667 StB/Fg break even ratio with lower number of units
8 IPCs/10 IPCs = 0.8 off/def ratio
1 StB A0 vs 1 Fg D1: + 3.819 - 3.667 = + 0.152 IPC
*25= +3.800, 25 vs 25
1 StB A0 vs 2 Fgs D1: + 3.183 - 5.056 = - 1.873 IPC
*2= -3.746 + -0.054= -3.800, 2 vs 4 + 2 vs 3
Net: +0.00
For 25 StBs vs 25 Fgs
- 2 StBs vs 4 Fgs
- 2 StBs vs 3 Fgs
Break even point: 29 StBs A1 A0 C12 D6+2 vs 32 Fgs D1 C10
0.9063 StB/Fg break even ratio with higher number of units
10.875 IPCs/10 IPCs = 1.09 offense/defense ratio
G40.2 or 1942.2 SBR HR
Bomber A0
Damage: 1D6+2
Cost 12
Fighter A1 D1
Cost 10
StB A0 C12 D6+2 vs Fg D1
1 StB A0 vs 1 Fg D1: + 3.819 - 3.667 = + 0.152 IPC
*25= +3.800, 25 vs 25
1 StB A0 vs 2 Fg D1: + 3.183 - 5.056 = - 1.873 IPC
*2= -3.746, 2 vs 4
Net: +0.054
For 25 StBs vs 25 Fgs
- 2 StBs vs 4 Fgs
Break even point: 27 StBs A0 C12 D6+2 vs 29 Fgs D1 C10
0.931 StB/Fg break even ratio
11.17 IPCs/10 IPCs = 1.12 offense/defense cost ratio
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1942.2 OOB with D6+2 G40.2 damage, SBR HR
Bomber A1 First Strike,
Damage: 1D6+2
Cost 12
Fighter A1 First Strike D2
Cost 10
1942.2 A1 first strike D6+2 vs Fg D2
1 StB vs 1 Fg: +4.977 - 4.778 = +0.199 IPC damage/SBR
*50=+9.950, 50 vs 50
1 StB vs 2 Fgs: +3.874 - 7.185 = -3.311 IPCs damage/SBR
*3= -9.933, 3 vs 6
Net: +0.017
For 50 StBs vs 50 Fgs
- 3 StBs vs 6 Fgs
Break even point: 53 StBs A1fs C12 D6+2 vs 56 Fgs D2 C10
0.946 StB/Fg break even ratio
11.36 IPCs/10 IPCs = 1.14 offense/defense cost ratio
1942.2 Triple A SBR
or Young Grasshopper G40.2 HR for StB not starting from Air Base
Bomber A1
Damage: 1D6
Cost 12
Fighter A1 D1
Cost 10
1 StB A1 D6 vs 1 Fg D1
1 vs 1: +3.69 - 3.667 = +0.023 IPC damage/SBR
*132= +3.036, 132 vs 132
StB A1 D6 against 2 Fgs D1
1 vs 2 : +2.025 - 5.056 = -3.031 IPCs damage/SBR
Net: -0.005
For 132 StBs vs 132 Fgs
- 1 StBs vs 2 Fgs
Break even point: 133 StBs A1 C12 D6 vs 134 Fgs D1 C10
133/134= 0.9925 StB/Fg break even ratio
11.91 IPCs/10 IPCs = 1.191 offense/defense ratio
Regular Kid’s Balance Mode
G40.2 SBR HR
Bomber A1
Damage: 1D6+2
Cost 12
Fighter A2 D2
Cost 10
2 StBs A1 against 1 Fgs D2
1D6+2: +10.639 - 7.334 = + 3.304 IPCs damage/SBR
*12=+39.648, 24 vs 12
1 StB A1 vs 1 Fg D2
1D6+2: + 4.723 - 5.333 = - 0.61 IPC dam/SBR
*65= -39.650, 65 vs 65
Net: -0.002
For 24 StBs vs 12 Fgs
- 65 StBs vs 65 Fgs
Break even point: 89 StBs A1 C12 D6+2 vs 77 Fgs D2 C10
1.156 StB/Fg break even ratio
13.87 IPCs/10 IPCs = 1.39 offense/defense IPC ratio
G40.2 or 1942.2 SBR HR
Bomber A1 as AAA against up to 2 Fgs which ever the lower,
Damage: 1D6+2
Cost 12
Fighter A2 D2
Cost 10
StB A1 as AAA up to 2 Fg, D6+2 vs 1 Fg D2
2 vs 1 +1.972 *4= +7.888, 8 StBs vs 4 Fgs
1 vs 1 -0.61 *13= -7.930, 13 StBs vs 13 Fgs
Net: -0.042
Break even point: 21 StBs A1 C12 D6+2 vs 17 Fgs D2 C10
21/17= 1.235 StB/Fg break even ratio
14.824 IPCs/10 IPCs = 1.48 offense/defense cost ratio
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1942.2 OOB SBR with D6 damage
Bomber A1 First Strike
Damage: 1D6
Cost 12
Fighter A1 First Strike D2
Cost 10
2 StBs A1 first strike doing SBR against 1 Fg D2
2 vs 1 : +8.214 - 6.315 = +1.899 IPCs
*10= +18.99, 20 vs 10
1 StB A1fs against 1 Fg D2
OOB 1942.2 D6: +3.8 - 4.8 = -1 IPC damage/SBR
*19= -19.00, 19 vs 19
Net: -0.010
For 20 StBs vs 10 Fgs
- 19 StBs vs 19 Fgs
Break even point: 39 StBs A1fs C12 D6 vs 29 Fgs D2 C10
39/29= 1.345 StB/Fg break even ratio
16.1 IPCs/10 IPCs = 1.61 offense/defense cost ratio
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Young Grasshopper HR
G40.2 SBR HR mostly implied from D6 Strat Bombers not starting from Air Base
Bomber A0 + 1A1 for StBs group
Damage: 1D6
Cost 12
Fighter A1 D1
Cost 10
3 Strategic Bombers A0 D6 damage doing SBR against 1 Fg D1
3 vs 1: + 8.264 -7.666= +0.598 IPCs
2 Strategic Bombers A0 doing SBR against 1 Fg D1
2 vs 1: + 5.347 -5.666= -0.319 IPCs
*2= -0.638, 4 vs 2
Net: -0.040
7 StBs A0 vs 3 Fgs D1
And
1 StB A1 doing SBR against 1 Fg D1
1 vs 1: +3.69 - 3.667 = +0.023 IPC damage/SBR
Net: -0.017
Break even point: 8 StBs A0 D6 vs 4 Fgs D1
Break even ratio: 8/4= 2.0 StBs/Fg
24 IPCs/10 IPCs = 2.4 offense/defense cost ratio
G40.2 SBR HR
Bomber A0
Damage: 1D6
Cost 12
Fighter A1 D1
Cost 10
3 StBs A0 Damage D6 doing SBR against 1 Fg D1
3 vs 1: + 8.264 -7.666= +0.598 IPCs
2 StBs A0 doing SBR against 1 Fg D1
2 vs 1: + 5.347 -5.666= -0.319 IPCs
*2= -0.638, 4 vs 2
Net: -0.040
For 3 StBs vs 1 Fg
- 4 StBs vs 2 Fgs
Break even point: 7 StB A0 D6 vs 3 Fg D1
7/3= 2.333 StB/Fg break even ratio
2.333*12=
28 IPCs/10 IPCs = 2.8 offense/defense IPCs ratio