Definitely recommended for folks looking to practice basic arithmetic, "figure out the cutoff point for buying another card", "what per-base mana cost is needed to justify next card upgrade" etc.

So there's 13 card values (2 through 14), each with four colors. Each card has to be researched in succession (for an ever increasing cost) but what it produces is A. a bonus equal to its count ; and B. the capacity to make formations (a pair doubles the total hand value).

Thus, the per-draw A-benefit of a new card is 1/52 * card count * its value -1, so for instance getting the first 8-level for 60mn when with a draw of 6 is justifiable on the A-benefit alone when the total base cost becomes 60 * 52 / (6*7) = 74.285714286mn.

The per-draw B-benefit of a whole new value is... holy hell. Well first off, the per-hand value is a sum over the values you have, so if you draw 6 cards and have the first 7 the per-hand value is then 6 * (6/13 * 1 + 2/13 3/13 + 4/13 + 5/13 + 6/13 + 7/13) = 15.23076923. The B-benefit then consists in an added chance to o wait, gotta add the 8 in there too, getting 18.92307692.

So now, the B-benefit of getting the whole 8 value range (4 cards) would be a chance to double this, equal to 1/13 * 5 (cards -1), ie the 4-card B-benefit is 7.27810650. Plus of course the chance to triple, equal to 4 / 13 ** 2, adding a further 0.89576695. Plus the chance to quadruple, equal to 3 / 13 ** 3, adding a further 0.10335772 (and I think we can stop there). Two pair also quadruples, though, so that's a further (1/13 * 5) * (1/13 *3) chance, adding yet a further 1.67956304, for a grand total of 9.95679421 which is close enough to being 10, and therefore paying the 60mn with a draw of 6 is justifiable on B-benefit alone when the per-point base cost becomes 6mn.

Adding these together, the factor comes to about 13.23, and the card costs go up by 1.78 fwis, thus the normalized per-card value would be (1 + 1.78 + 1.78 ^ 2 + 1.7 ^ 3) = 10.8, meaning that whenever the new card costs less than 1.21807501 times whatever a doubling of the base mana costs, the buy's a good deal. (There's also compounding problems, because spending for a base increase now will produce benefits now, wehreas saving for the card buy will produce nothing), but.... seriously, how's that for mathing!

Obviously the value of drawing another card depends on how many card values you unlocked, by the familiar formula, (6/13 * 1 + 2/13 + 3/13 + 4/13 + 5/13 + 6/13 + 7/13 + 8/13) = 3.15384615 (for 8 values unlocked).

To sum up, the algorithm to play this is :

I. Always keep all your mana generators level, meaning such that the per-point marginal cost C of increase is the same for all ;

I. Calculate your current mana generating value V by multipling that marginal cost with your mana pool

I. Calculate your current unlocked card value bonus B, (as above).

1. If V * C * B exceeds the cost to buy another card slot, buy that ;

2. If V * C * 1.2 or so (but see above) > buying the next card, buy that ;

3. else buy more of the basic mana generators.

Anyway, excellent game indeed, best implementation of this system I ever saw, as far as the math-mechanics are concerned ; and more broadly, evident understanding of how to build games, much complexity driven out of relatively simple elements well structured. Can you drop a line to the author ?

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Supermechs, pretty cool constructomecha game.

Hero Sanctuary, interesting RPG *platformer*.

Vaguely interesting "idler". Had a lot of fun calculating the marginal cost/benefits. Definitely recommended for folks looking to practice basic arithmetic, "figure out the cutoff point for buying another card", "what per-base mana cost is needed to justify next card upgrade" etc.

Deterministic Dungeon, kinda ironic/tic POC. Worth a gander.

World's End, an elaborate positional strategy thing, like the old UFO games.

]]>https://gamcore.com/games/spiral_clicker for the autoclicker / "idle game" crowd. Satisfyingly rape-y.

https://gamcore.com/games/the_maze_d_traveller a delightful dungeon crawler.

https://gamcore.com/games/meltys_quest decent isometric rpg.

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