🤔 gloomhaven stamina mechanic

in gloomhaven, given the way cards are played, as the game goes longer, you are forced to take more long rests (or short rests)
- with long rests, it makes it feel like you are "running out of steam", because you are taking more and more long rest turns
- BUT, this is countered by having stronger cards played more frequently (because you choose to lose your lower impact cards)

let's model power over time
- assumptions:
  - 12 cards
  - your strongest card is 3 times stronger than your weakest
  - linear-ish distribution (4 "3 power" cards, 4 "2 power", 4 "1 power")
  - always Long Rest when able
  - always choose the card with the weakest power to lose
- we can calculate "avg power of cards played since last long rest"
  - counting the current long rest as 0 power
see table below
observations
- the power over time increases, stabilizes and then drops for the last few rounds
  - (until this analysis, I thought you only got weaker over time)

hand	discard	play	avg power	turn
12	0	3,3		1
10	2	3,3		2
8	4	2,2		3
6	6	2,2		4
4	8	1,1		5
2	10	1,1		6
0	12	LR	3.43	7
11	0	3,3		8
9	2	3,3		9
7	4	2,2		10
5	6	2,2		11
3	8	1,1		12
1	10	LR	3.67	13
10	0	3,3		14
8	2	3,3		15
6	4	2,2		16
4	6	2,2		17
2	8	1,1		18
0	10	LR	3.67	19
9	0	3,3		20
7	2	3,3		21
5	4	2,2		22
3	6	2,2		23
1	8	LR	4	24
8	0	3,3		25
6	2	3,3		26
4	4	2,2		27
2	6	2,2		28
0	8	LR	4	29
7	0	3,3		30
5	2	3,3		31
3	4	2,2		32
1	6	LR	4	33
6	0	3,3		34
4	2	3,3		35
2	4	2,2		36
0	6	LR	4	37
5	0	3,3		38
3	2	3,3		39
1	4	LR	4	40
4	0	3,3		41
2	2	3,3		42
0	4	LR	4	43
3	0	3,3		44
1	2	LR	2	45
2	0	3,3		46
0	2	LR	2	47
1	0	X		48

2024-01-03

2024-01-03	🤔 gloomhaven card stamina
2021-07-10	🤔 stochastic pass condition for game	#game-design

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