[quote=Skinnyman][quote=dov]The persistent strategy, of course, lets you decide how many actions to invest (no limit), and the average will be 3.125 EPA.
The "only Walk the Walls" strategy only fully pays after many card draws, which could take months (or years, if you want to raise Attar to thousands).[/quote]Maybe I got something wrong, but cashing in every 3 cards puts you to 3.767. Maybe I missed some Attar/Permission loss on the way.[/quote]
I was referencing the proposed ideal 5 EPA strategy, which relies on collecting a lot of Attar before gifting to the Queen.
I haven’t run the numbers on all options, though. If by "cashing in every 3 cards" you mean collect Attar for 2 cards and then try to cash in (since it’s not guaranteed), let’s check it out:
Card #1: Go into Near-Arbor, Explore the market 3 times, enter Far-Arbor, Walk the Walls twice and then leave.
Total 8 actions (because of the travel to Far-Arbor), Attar: 10
Card #2:Go directly to Far-Arbor (I’m assuming(!) no extra action cost here), but lose one Attar when entering. Walk the Walls 5 times and leave.
Total 7 actions, Attar: 19
Card #3: Go south twice and start gifting Attar to the Queen. If you’re unlucky, you’ll need to continue in the next card draw:
This is trickier to calculate. Assuming 20% for the rare success, you’ll need 5 attempt on average to get the rare success. You only have enough Attar to do this action 5 times before this option locks for you.
Absolutely best case scenario (20% chance): Succeed on first attempt, converting your 19 Attar into 6 x Favours in High Places. You’ll move to Near-Arbor with still 1 x Permission to Linger . You can use that to move North (and spend yet one more travel action point next round to get to the Center and start fresh). One more action to leave (total 7). But since we now know you’ll lose an action the next time around, you’ll actually get less Attar than 10 in that first card draw.
Total EPA of best case: 75 Echoes over 22 actions = ~3.41 EPA.
Of course, that’s the best case (20% chance). We’ll need to write a simulation to get the real average. But it will certainly be lower than 3.767 EPA.