We know the probability of winning a card in a spin. We know the value of cards in AI3 decks. We can easily calculate the average revenue generated by spins.
I agree.
However, one must agree that if an advantage were to be gained by spininng with decks like frogtal or mindles dragons, that don't have ways to get EMs, it is then logical that those same benefits and advantages would also be gained by decks designed to win fast EMs, like mono-darkness and Life rush. Thus, so far in testing, one must agree that EMs are essential to gaining high electrum/score per game/minute.
I find that to be highly illogical actually. There are no real "fast EM" decks. EM decks are always slower because they have healing cards. It's impossible to have both very fast and EM.
The only question here is, do extra spins generate more revenue than EM bonus?
My guess is "yes".
The question with regard to the EM bonus is paramount in this study because the study is looking at real life times and it's impact on score and electrum. If I play for 2 hours a day, will the deck I am playing have more revenue than another deck played in the same amount of time? That is the real question this study hopes to answer.
We can look at two decks already tested to get an approximate answer, albeit this particular exercise is rather finite.
Let us examine "Mindless Dragons" vs. "Mono Darkness."Mindless Dragons has ratios of 64.00 seconds/game, Score/Min: 17.325 and Elec/Min: 17.475.
Mono Darkness has ratios of 90.36 seconds/game, Score/Min: 19.573 and Elec/Min: 21.280.
Let's say I have 2 hours to play and I want to play the deck that nets me the most Score/electrum in that time. Although Score is more important since if I wanted only Electrum, I'd play either T50 or FGs.With the Mindless Dragons I have played 112 games gaining 2079 score (17.325 * 120 minutes) and 2097 Electrum (17.475 * 120 minutes)
With Mono Darkness, I have played 80 games, gaining 2349 (19.573 * 120 minutes) and 2554 electrum (21.280 * 120 minutes).
Let's give spins a 10% chance for winning a card. Mindless Dragons played 32 more games than Mono Darkness did, so that's a difference of 96 (32 * 3 spins/game) spins. Since in over 5000 games played against AI3, I have won more Vultures than any other card (I actually tracked this to some degree), we can use it as a base. Vulture sells for 39 electrum a piece in the Bazaar. 10% of 96 is roughly 10 won spins, rounded up. Thus, if I were to sell the Vultures, I'd gain 390 Electrum. Also, we can assume that 20% of the spins had the first two pictures matching, that would be a gain of 5 Electrum per matched pair. 20% of 96 is 19, rounded down. Thus I would have further added 95 more Electrum (19 * 5 Electrum) to my overall gain.
So my new Electrum total would be for Mindless Dragons: 2582 Electrum. That is a gain of +28 electrum over Mono Darkness.
But the ultimate point of grinding AI3 is not to gain Electrum.
It's to gain Score. And in the grand scheme of things, a net gain of +28 Electrum is nothing. One more game using Mono Darkness can easily make up that difference. The real number to be looking at here is the +252 score Darkness had over Dragons. Not only that, but it did that in 32 less games. People looking to increase their score and win ratios should be looking at EM based decks. What's even more, this particular example is looking at Mono Darkness's ability to EM grind. Life Rush is even faster. So it can be said that Life Rush decks can keep up better than Mono Darkness and further widen the gap between score/electrum versus speed AI3 grinders. My version of a Life Rush EM deck runs at 6.8 TTW, with a 27.023 Electrum/ minute and 24.439 Score/minute. Imagine if I used my deck instead of a pre established, tested one on this particular example.
Long story short, fast EM decks designed for AI3 will outpace any speed AI3 grinder that can't EM often (EM more than 20% of the time). JMDT still, as of this posting, as yet to post his Life Rush which has a higher EM than mine. I think those numbers will also speak for themselves.