Explained: Axis & Allies Global 1940 House Rules Expansion

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/Fgs
No FIT (Fighter Interception Threshold), always beneficial to Intercept.

Down below here is a different values doing SBR for 1942.2 and G40

Strategic Bomber in air-to-air combat SBR:
Attack 0
Bombard IC damage: D6 or 1D6+2

Fighter in air-to-air combat SBR:
Attack 1
Defend 2

IC’s AAA: @1 against each Strategic Bomber

1942.2 SBR HRules with StB A0 and Fg A1 D1 : damage 1D6 or 1D6+2

1 Strategic Bomber doing SBR against no interceptor

AAA roll = odds casualties

5/6 StB survived * 5.5 IPCs = +4.583 IPCs *3.5= +2.917
1/6 StB killed *5 IPCs = -0.833 IPCs

D6: +2.917-0.833= +2.084 IPCs
D6+2: + 4.583 - 0.833 = +3.750 IPCs damage/SBR

1 Strategic Bomber Att 0 doing SBR against 1 interceptor Def 2

Interceptor Fg roll/ AAA roll = odds casualties

2/66/6 = 12/36 1 StB killed by Fg
4/61/6 = 4/36 1 StB killed by AAA
4/6*5/6 = 20/36 No casualty at all.

Results:
Bombard on IC 20/36* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 3.056 IPCs *3.5=+1.944
StB killed 16/36 *-5 IPCs = - 2.222 IPCs
1D6 vs 1D2: + 1.944 - 2.222 = -0.278
1D6+2 vs 1D2: + 3.056 - 2.222= + 0.834 IPC damage/SBR

D6 vs Fg D1: + 2.431 - 1.528 = +0.903
D6+2 vs Fg D1: + 3.819 - 1.528= + 2.291 IPC damage/SBR

1 Strategic Bomber Att 0 doing SBR against 2 interceptors Def 2

Interceptors Fgs roll/ AAA roll = odds casualties

20/366/6 = 120/216 1 StB killed by Fg
16/361/6 = 16/216 1 StB killed by AAA
16/36*5/6 = 80/216 No casualty at all.

Results:
Bombard on IC 80/216* ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = +2.037 IPCs *3.5= +1.296
StB killed 136/216 *- 5 IPCs = -3.148 IPCs
D6 vs D2: +1.296 - 3.148 =-1.852 IPCs
D6+2 vs D2: +2.037 - 3.148 = -1.111 IPC damage/SBR

D6 vs Fg D1: + 2.025 - 2.106 = -0.081 IPCs
D6+2 vs Fg D1 : + 3.183 - 2.106 = +1.077 IPC damage/SBR

1 Fighter Att 1 and 1 Strategic Bomber Att 0 doing SBR against 2 interceptors Def 2

Fighter roll/interceptors Fgs roll/ AAA roll = odds casualties

1/64/366/6 = 24/1296 1 Fg and 1 StB killed by Fgs vs 1 Fg
1/616/361/6= 16/1296 1 Fg killed by Fg and 1 StB killed by AAA vs 1 Fg
1/616/365/6= 80/1296 1 Fg killed by Fg vs 1 Fg
1/616/361/6 = 16/1296 1 StB killed by AAA vs 1 Fg
1/616/365/6 = 80/1296 No casualty vs 1 Fg

5/64/366/6 = 120/1296 1 Fg and 1 StB killed by Fg vs no casualty
5/616/361/6 = 80/1296 1 Fg killed by Fg and 1 StB killed by AAA vs no casualty
5/616/365/6= 400/1296 1 Fg killed by Fg vs no casualty
5/616/361/6 = 80/1296 1 StB killed by AAA vs no casualty
5/616/365/6 = 400/1296 no casualty at all

Results:
Bombard on IC: 960/1296 * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.074 IPCs 3.5= +2.593
Killing 1 Fg: 216/1296 +10 IPCs = + 1.667 IPCs
Fg killed: 480/1296-10 IPCs = - 3.704 IPCs
StB killed: 96/1296 -5 IPCs = - 0.370 IPCs
StB & Fg killed: 240/1296* -15 IPCs = - 2.778 IPCs

D6 vs 2Fgs D2: +4.260 - 6.852 = -2.592 IPCs
D6+2 vs 2Fgs D2: + 5.741 - 6.852 = -1.111 IPCs damage/SBR

D6 vs D1: +4.503 - 1.690 = +2.813 IPCs
D6+2 vs D1: + 6.123 - 1.690 = + 4.433 IPCs damage/SBR

1 Fighter Att 1 and 1 Strategic Bomber Att 0 doing SBR against 1 interceptor Def 2
Fighter escort taking the casualty.
Fighter roll/interceptor Fg roll/ AAA roll = odds casualties

1/62/61/6= 2/216 1 Fg killed by Fg and 1 StB killed by AAA vs 1 Fg
1/62/65/6= 10/216 1 Fg killed by Fg vs 1 Fg
1/64/61/6 = 4/216 1 StB killed by AAA vs 1 Fg
1/64/65/6 = 20/216 No casualty vs 1 Fg

5/62/61/6 = 10/216 1 Fg killed by Fg and 1 StB killed by AAA vs no casualty
5/62/65/6 = 50/216 1 Fg killed by Fg vs no casualty
5/64/61/6 = 20/216 1 StB killed by AAA vs no casualty
5/64/65/6 = 100/216 no casualty at all

Results:
Bombard on IC: 180/216 * ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 4.583 IPCs 3.5= +2.917
Killing 1 Fg: 36/216 +10 IPCs = + 1.667 IPCs
Fg killed:60/216-10 IPCs = -2.778 IPCs
StB killed: 24/216 -5 IPCs = - 0.555 IPCs
StB & Fg killed: 12/216* -15 IPCs = -0.833 IPC

1Fg A1 1StB D6 vs 1 Fg D2: +4.583 - 4.166 = +0.418 IPCs
1Fg A1 1StB D6+2 vs 1 Fg D2: + 6.250 - 4.166 = + 2.084 IPCs damage/SBR

1Fg A1 1StB D6: +2.500 - 1.111 = +1.389 IPCs
1Fg A1 1StB D6+2: + 6.250 - 1.111 = + 5.139 IPCs damage/SBR

2 Strategic Bombers Att 0 doing SBR against 2 interceptors Def 2

Interceptor Fgs roll/ AAA roll = odds casualties

4/3636/36= 144/1296 2 StBs killed by Fgs
16/366/36 = 96/1296 1 StB killed by Fg and 1 StB killed by AAA
16/36*30/36= 480/1296 1 StB killed by Fg

16/361/36 = 16/1296 2 StBs killed by AAA
16/3610/36 = 160/1296 1 StB killed by AAA
16/36*25/36 = 400/1296 No casualty at all.

Results:
2x Bombard on IC 400/1296* ((2+4)+(12+4) IPCs)/2= +11 IPCs) = +3.395 IPCs 7=+2.160
1x Bombard on IC 640/1296 ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 2.716 IPCs 3.5=+1.728
2 StBs killed 256/1296 -10 IPCs = -1.975 IPCs
1 StB killed 640/1296* -5 IPCs = -2.469 IPCs
D6 vs 2 Fgs D2: +3.888 - 4.444 =-0.556 IPCs
D6+2 vs 2Fgs D2: +6.111 - 4.444 = +1.667 IPCs damage/SBR

D6 vs 2 Fgs D1: +4.863 - 3.056 = +1.807 IPCs
D6+2 vs 2Fgs D1: + 7.639 - 3.056 = + 4.583 IPCs damage/SBR

2 Strategic Bombers Att 0 doing SBR against 1 interceptor Def 2

Interceptor Fg roll/ AAA roll = odds casualties

2/66/36 = 12/216 1 StB killed by Fg and 1 StB killed by AAA
2/630/36= 60/216 1 StB killed by Fg
4/61/36 = 4/216 2 StBs killed by AAA
4/610/36 = 40/216 1 StB killed by AAA
4/6*25/36 = 100/216 No casualty at all.

Results:
2x Bombard on IC 100/216* ((2+4)+(12+4) IPCs)/2= +11 IPCs) = +5.093 IPCs 7=+3.241
1x Bombard on IC 100/216 ((1+2)+(6+2) IPCs)/2= +5.5 IPCs) = + 2.546 IPCs 3.5=+1.620
2 StBs killed 16/216 -10 IPCs = -0.741 IPC
1 StB killed 100/216* -5 IPCs = -2.315 IPCs

2 StBs D6 vs 1 Fg D2: +4.861 - 3.056= +1.805 IPCs
2 StBs D6+2 vs 1 Fg D2: +7.639 - 3.056 = +4.583 IPCs damage/SBR

2 StBs D6 vs 1 Fg D1: +5.347 - 2.361= +2.986 IPCs
2 StBs D6+2 vs 1 Fg D1: +8.403 - 2.361 = +6.042 IPCs damage/SBR

@Baron:

Summary:
StB A0 C12 vs Fg A1 C10
1 Strategic Bomber doing SBR against no interceptor
D6+2: + 4.583 - 2 = +2.583 IPCs damage/SBR run
D6: +2.917-2= 0.917 IPCs

1 Strategic Bomber A0 doing SBR against 1 interceptor D1
D6+2: + 3.819 - 3.667 = + 0.152 IPC damage/SBR run
D6: + 2.431 - 3.667 = -1.236

1 Strategic Bomber A0 doing SBR against 2 interceptors D1
D6+2: + 3.183 - 5.056 = - 1.873 IPCs damage/SBR run
D6: + 2.025 - 5.056 = -3.031 IPCs

1 Fighter A1 and 1 Strategic Bomber A0 doing SBR against 2 interceptors D1
D6+2: + 6.123 - 5.334 = + 0.789 IPC damage/SBR run
D6: +4.503 - 5.334 = -0.831 IPCs

2 Strategic Bombers A0 doing SBR against 2 interceptors D1
D6+2: + 7.639 - 7.334 = + 0.305 IPC damage/SBR run
D6: +4.863 - 7.334= -2.471 IPCs

1 Fighter A1 and 1 Strategic Bomber A0 doing SBR against 1 interceptor D1
D6+2: + 6.250 - 3.667 = + 2.583 IPCs damage/SBR run
D6: +2.500 - 3.667 = -1.167 IPCs

2 Strategic Bombers A0 doing SBR against 1 interceptor D1
D6+2: + 8.403 - 5.666 = + 2.737 IPCs damage/SBR
D6: + 5.347 -5.666= -0.319 IPCs

Comparison of this HR with Triple A SBR for 1942.2

1942.2 SBR HRules with StB A0 and Fg A1 D1 : damage 1D6+2   Triple A SBR for 1942.2: damage 1D6

1 Strategic Bomber doing SBR against no interceptor             1 StB doing SBR without interceptor
Sum: + 4.583 - 2 = +2.583 IPCs damage/SBR run                Sum: +2.917 - 2 = +0.917 IPC damage/SBR run

1 Strategic Bomber A0 doing SBR against 1 interceptor D1     1 StB A1 against 1 Fg D1
Sum: + 3.819 - 3.667 = + 0.152 IPC. damage/SBR run        Sum: +3.69 - 3.667 = + 0.023 IPC damage/SBR run

1 Strategic Bomber A0 doing SBR against 2 interceptors D1       1 StB A1 doing SBR against 2 intercepting Fgs D1
Sum: + 3.183 - 5.056 = - 1.873 IPC. damage/SBR run              Sum: + 2.025 - 5.056 = - 3.031 IPCs damage/SBR run

1 Fighter A1 and 1 Strategic Bomber A0 doing SBR against 2 interceptors D1       1 StB & 1 Fg A1 doing SBR against 2 intercepting Fgs D1
Sum: + 6.123 - 5.334 = + 0.789 IPC damage/SBR run              Sum: +6.155 - 5.33 = + 0.825 IPC damage/SBR run

2 Strategic Bombers A0 doing SBR against 2 interceptors D1         2 StBs A1 doing SBR against 2 intercepting Fgs D1
Sum: + 7.639 - 7.334 = + 0.305 IPCs damage/SBR run              Sum: +8.195 - 7.334 = + 0.861 IPC damage/SBR run

1 Fighter A1 and 1 Strategic Bomber A0 doing SBR against 1 interceptor D1       1 StB & 1 Fg A1 doing SBR against 1 intercepting Fg D1
Sum: + 6.250 - 3.667 = + 2.583 IPC damage/SBR run         Sum: + 5.973 - 3.667 = + 2.306 IPCs damage/SBR run

2 Strategic Bombers A0 doing SBR against 1 interceptor D1         2 StBs A1 doing SBR against 1 intercepting Fg D1
Sum: + 8.403 - 5.666 = + 2.737 IPCs damage/SBR run         Sum: +8.403 - 5.666 = + 2.737 IPCs damage/StB

I agree that it helps the Allies.

And there could be a malicious surrender: UKE surrenders, giving the African territories to Germany, and before Italy can react US starts blitzing through the south, ADDING ABOUT 15 IPC’S TO THEIR VALUE. Same could be done with France.

It really helps the Allies and screws the game balance.

I’ll continue this proyect. The definitive rules are:

Victory conditions:

Axis win if

a) Japan has at least 6 VCs at end of USA’s turn
b) Germany + Italy have at least 7 VCs at end of USA’s turn

Allies win if they have at least 13 VCs at end of USA’s turn

Tech:

Use delayed tech as default (techs enter in play at the end of the turn of the power that discovered them)

NOs:

NOs are mandatory

Europe:

Dardaneles closed 1942 scenario: Karelia IC deleted and moved to Novosibirsk (at setup) 1941 scenario: you can move Karelia’s IC to Novo (1 time each game). Do it in deployment phase. You cannot deploy new units at kar or novo the turn that you move the IC

China:

Using AAP40 rules for China China plays after Italy and before USA Setup is the same for both scenarios (use OOB 1942 for both) However, the chinese fighter is moved from Yunnan to Sikang and China gains 1 aa gun at Sikang China is allowed to move to any place. No limits of movement with one exception: China cannot enter at soviet controled territory (and USSR cannot enter at chinese territory) China doesn’t start at war with Germany and Italy. Germany or Italy can DOW China at pleasure, but China cannot DOW ger/ita unless that one of them DOWed first or that NAP is not active

UK

Colonial garrison: you MUST deploy a free IC for UK round 1, as if you had purchased it. The free IC costs 0 IPCs 1941 only: add 1 uk inf to sum, bor, ngui and sol

USSR/Japan non agression pact:

The breaker pays 15 IPCs to the bank unless it attacks a territory or SZ defended by multiple nations (that case, pay 0 IPCs). You can attack multinational SZs and ignore units belonging to a power that you’re not at war If the NAP ends, China can enter to USSR and viceversa. Also, if Germany or Italy attack China, the NAP should be voided, making a fully global war

This will be my last effort to balance AA50 (I’d like to play some games here and there). I’ll try to post the AABattlemap module soon. I want to end this before moving to my next proyects, a custom 1940 OOB module and some other module called ‘Spain, 1940’ …

@FieldMarshalGames:

LETS GET 'EM CANADA!

When and where can I get THESE BABIES!!!

if even larry thinks that heavy bombers are op, why aren’t his optional rules for it the regular rules? 
or why not:
Heavy Bombers = roll two dice at 3 (instead of at 4)

the cost of building bombers to deliver 1 infantry to a battle is too much to suatain during the early rounds, unless a game would go for around 20 rounds or more i could not entertain the logistics, the longest game that i played went on for 9 rounds top’s

Thats right. To me, the multiple collect income causes inflation.
Yes collecting income before combat does stop this.

Regarding the essay on a pad that can be reduced. For example in AARHE the Axis/Allies sequence makes. Its not 4 turns between Russia 1 and Russia 2. So you don’t have to hire an accountant to keep track of things even if we collect income before combat.