Slow Mo Piquet: Initiative statistics Turn 1-5

One of the striking aspects of Piquet is the random initiative pip assignment. This seems to raise eyebrows for first-time players, and I didn't dare go for the rules as written, either, going for a house rule to split the initiative between winner and loser roughly 2:1.

I understand that much more statistics are needed to check how fair the written rules approach is vs the various house rules, but I can't resist writing up some quick stats based on the first five turns of my detailed play-by-play.

Overall, very hard ini swings are only weakly balanced by the house rule and late-in-the-phase rolls often use up all remaining pips for one side. 

Turn two phase 1-2 added up balance out perfectly, but phase and 4 which went completely to Empire by the die rolls and the house rule only compensated for that very little.

Turn 3 overall was won by the Empire in house rules, by as much as the Prussians would have won in standard rules.

Turn 4: overall, 1 pip difference between house rules and standard.

Turn 5: all phases but the second favor the Prussians, the house rules mean the swing in favor of the Empire in phase 2 is reduced, which nearly counteracts all of the other splits in favor of the Empire.

So, as expected, the house rules smooth out the swings a little bit, but actually increased the overall inequality from 2% as per standard to 10% as per house rules. So much for fiddling with rules you don't quite understand yet...

Turn	Roll E	Roll P	House Pips E	House Pips P	Rule Pips E	Rule Pips P
Turn 1	16	15	1	0	1	0
Phase 1	16	15	1	0	1	0
Roll 1	7	6	1	0	1	0
Roll 2	9	9	0	0	0	0
Turn 2	115	97	34	26	38	22
Phase 1	26	37	9	11	4	16
Roll 1	8	6	2	0	2	0
Roll 2	2	11	3	6	0	9
Roll 3	5	12	2	5	0	7
Roll 4	11	8	2	0	2	0
Phase 2	59	57	10	10	14	6
Roll 1	20	15	4	1	5	0
Roll 2	18	19	0	1	0	1
Roll 3	14	5	6	3	9	0
Roll 4	7	18	0	5	0	5
Phase 3	30	3	15	5	20	0
Roll 1	18	2	11	5	16	0
Roll 2	12	1	4	0	4	0
Phase 4	39	15	16	4	20	0
Roll 1	5	3	2	0	2	0
Roll 2	20	7	9	4	13	0
Roll 3	14	5	5	0	5	0
Turn 3	73	76	21	17	16	22
Phase 1	35	31	12	8	10	10
Roll 1	12	7	4	1	5	0
Roll 2	10	20	3	7	0	10
Roll 3	13	4	5	0	5	0
Phase 2	38	45	9	9	6	12
Roll 1	6	16	3	6	0	9
Roll 2	8	4	3	1	4	0
Roll 3	4	2	2	0	2	0
Roll 4	2	5	1	2	0	3
Roll 5	18	18	0	0	0	0
Turn 4	70	53	21	12	22	11
Phase 1	37	33	12	8	9	11
Roll 1	7	10	1	2	0	3
Roll 2	5	8	1	2	0	3
Roll 3	6	11	1	4	0	5
Roll 4	19	4	9	0	9	0
Phase 2	33	20	9	4	13	0
Roll 1	17	4	9	4	13	0
Roll 2	16	16	0	0	0	0
Turn 5	198	223	44	54	39	59
Phase 1	44	51	9	11	8	12
Roll 1	8	2	4	2	6	0
Roll 2	8	17	3	6	0	9
Roll 3	8	6	2	0	2	0
Roll 4	13	14	0	1	0	1
Roll 5	7	12	0	2	0	2
Phase 2	52	44	11	9	14	6
Roll 1	15	12	2	1	3	0
Roll 2	7	9	0	2	0	2
Roll 3	12	16	1	3	0	4
Roll 4	18	7	8	3	11	0
Phase 3	48	54	8	12	7	13
Roll 1	16	17	0	1	0	1
Roll 2	4	14	3	7	0	10
Roll 3	10	3	5	2	7	0
Roll 4	18	20	0	2	0	2
Phase 4	28	38	8	12	5	15
Roll 1	11	6	4	1	5	0
Roll 2	10	17	2	5	0	7
Roll 3	7	15	2	6	0	8
Phase 5	26	36	8	10	5	13
Roll 1	8	3	4	1	5	0
Roll 2	8	19	3	6	0	9
Roll 3	10	14	1	3	0	4

Totals

472

464

121

109

116

114