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Examples:
(for the sake of simplicity, I'm going to say 10 credits and 0.05 influence per month is the standard for research dispatches, and we make 0.1 influence per month saved the standard for the bonus portion. This is, of course, not the current situation, or even my sugessted values, but for ease of math, let's use it.)
Hypothetical: Researching "Basic Subatomic Theory" [base time 100 months, convenient for the math]
Scenario 1) No goons, no science tech on either side:
You spend 100 months doing the dispatch, walk away with the tech, 1,000Cr and 5 influence.
Scenario 2) No Goons, they have a 100% tech multiplier (so half the time), you have none:
You spend 50 months (making good use of their advanced labs) and receive 500 Cr and 2.5 influence (and the tech of course).
Scenario 3) No Goons, you have a 100% tech multiplier (so half the time) and they have none:
You do the dispatch for 50 months (using your own advanced labs/knowledge) and gain 500 Cr. & 2.5 influence from the dispatch, and 5.0 more influence (7.5 total) from the time you saved by knowing the secrets of the universe.
Scenario 4) No Tech on either side, you use enough goons to take it to 5 months:
You do the dispatch for 5 months and get 50 Cr. & 0.25 influence, plus 9.5 bonus influence (9.75 total).
Scenario 5) You gift the tech to a backwater:
You get 10 bonus influence.
Scenario 6) You gift the tech to an advanced race that's already been researching it and has 2 months left:
You get 0.2 bonus influence. |
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The same system would be used for relation adjustments when races gift the tech to each other. (The relationship boost is based on the time they saved the other side). This makes tech savy races capable of survival through gifting and goodwill, while not making them susuptable to the meager offerings of a race that just happened to have an odd tech or two they didn't already have themselves, but could've researched in a couple of months had it become a priority. |
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Drak
May 7, 2014 10:34 pm
reporter
~0037705
Last edited: May 7, 2014 10:39 pm
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Including a save that totally nails the problem.
I can research Planetary Ion Cannons with the Thoraxians (or any non-evuck planet really) in 5 months for 8 influence and 720-1,230cr, at the cost of 2 scientists (cost 1,000cr). Or I can research it from the Evuck (who already have it) in 5 months, for bumpkis... Not really a hard choice, ne?
If you throw in a little save scrubbing, you're actually profitting from the science goons...
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Drak
May 7, 2014 10:35 pm
reporter
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ScienceMultProblem.save (43,121 bytes)
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Screenshot added - now this is truly magical. For the price of 3 worker goons (900 cr) and 2 months, I gain aprox 3000 cr... |
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Drak
May 8, 2014 6:11 am
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Drak
May 9, 2014 4:52 am
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~0037779
Last edited: May 9, 2014 4:53 am
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I believe this is related to the problem I linked (0015048). The solution and underlying problem is likely found there.
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For 1.017:
* You no longer get paid in credits for dispatch-mission months saved by goons (but you still get the extra influence).
Thanks :) |
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Drak
May 10, 2014 2:24 am
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~0037833
Last edited: May 10, 2014 2:38 am
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You have missed the bigger picture all together I think, and though a slight improvement over the completely lost rewards for goons, and clearly less imbalanced than getting paid more than spent for using goons, this solution is still far off the mark. So much so, that I'd like to formally ask that it not be creditted to me in the official patch notes.
"You no longer get paid in credits for dispatch-mission months saved by goons (but you still get the extra influence). -Thanks to Drak for inspiring this change." Please remove the "Thanks to Drak..." -Thank You. Once you've figured out a real solution to the overall problem, I'd be happy to receive mention in the patch notes at that time, but I do not see this as an improvement, but rather a kind of a barely considered "knee jerk" reaction, which I take no joy in being associated with.
Please think long and hard on the system as a whole, and consider more deeply the pros/cons players consider when using goons and how much you want to incentivise / disincentivise their use in general. Then consider what they give and take (give time, take potential gains and cost credits up front). Once you've carefully figured out the value of that time saving, and then reduced that by the inherent losses, you'll have their value. If that value is less than their cost, they are worthless and it will quickly become a neglected mechanic. If their cost is less, then they are an exploit. The solution then, is to make them a CHOICE - they have to turn one thing into another, then the player decides which he prefers/values more and chooses.
Take, as an example, a 140 month project that would normally net say 1.4k credits and 1.4 influence, rushed by goons to 5 months. Under the original system you'd pay 500cr per goon, then lose 1.35k cr and 1.35 influence. Your proposal MIGHT (the math is a bit strange, so I'm not even sure here) prevent the loss of the influence at least, but there is no compensation for the lost credits, so the goons still hurt you - AND you're paying 500cr a head for the privilege, so no, this issue is hardly fixed, and so I cannot allow my name to be associated with such a fallacious claim, thank you for your understanding.
I hope you'll consider more fully the overall implications and deeper problems that are shown in the related issues, then find a solution to the deeper system of problems, instead of just making knee jerk reactions until some kind of balance results through trial and error.
I hope nobody takes this as any kind of afront, I know my blunt and direct nature can sometimes come off as offensive, and I want to be clear that I mean no disrespect to anyone, nor am I trying to be critical. I am endeavoring to be clear and concise only, as the reactions I am seeing seem to me to be drastically out of sync with the problem, despite the great deal of time and effort I spent carefully outlining the implications of. Also, for clarity, I use "You" above to refer to Arcen Games as a whole, as these are model and design issues, not Kieth specifically as this is not a programming level problem. :)
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I think this is starting to get unnecessarily complicated and generally bean-countery.
I'd say just KISS it and make research/property dispatches pay by the job, based on the base research/construction time (or perhaps the race-modified time). Scientists/workers become a way to trade credits for solar map time at a value that is defined prior to the job and visible in exactly one place (i.e. no double billing by paying for the goons at the black market and then incurring opportunity costs from the reduced research time). Nothing that makes me say things like "I don't need more influence with this race, can I keep my goons for someone else instead?"
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Drak
May 11, 2014 7:39 am
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~0037864
Last edited: May 11, 2014 7:43 am
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Hmm, I see what you're saying, so something like "Research Basic Subatomic Theory" which is a 100 month base, is worth say 1,000cr and 10 influence, no matter ow much time you spend doing it. If you then want to buy 95 (1 month) goons, at say 10cr a pop, you end up with a net 50cr. and the same 10 influence?
So this makes higher research speed also reduce time, but not value, same with science stations and any other such modifiers.
If using racial time, this would mean that having the same or inferrior science tech gives you their value for the project (which seems appropriate) and having higher tech increases the effective per month value for you (also seems appropriate). Also, using the racial time would set the value to zero 9since they've researched it and therefore have a racial time of zero). This would certainly make the choice to buy/use goons clear and it's benefits/costs more obvious.
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Drak
May 12, 2014 2:30 am
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~0037874
Last edited: May 12, 2014 2:55 am
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No wait, that still doesn't work, using the constant model, we get:
let x be player's current tech multiplier (varies as tech/stations are acquired)
given: by design x is never less than 1 (your starting tech multiplier).
let B be base number of months of the tech being researched (constant for a given tech)
let m represent number of months taken to actually research a given tech
then m = B/x
let V be Value (in Cr.) of tech per base month (constant for the game)
let p represent the payout (in Cr) per month spent (or saved via goons) researching the selected tech
then p = (VB)/m = (VB)/(B/x) = Vx [notice B is no longer part of the formula, therefore which tech, or rather the Base time invloved, is irrelevant.]
let s be the time saved per goon (in months)
then s=x [under current model]
let G be the cost of 1 Goon (constant for the game)
let c represent the cost of 1 month of time saved by using Goons
then c=G/s, but s=x, so c=G/x
For Goons to be balanced p can never exceed c or you get more money from using a Goon than it cost to buy it (and free rep and free tech ta boot)
So p must be less than c. (p<c)
But since p=Vx and c=G/x, then Vx<G/x, or x^2<G/V. (since x>0, there's no need to flip the less than when we multiply by x, the same holds true for dividing by V)
However, since G and V are constants, there will always exist an x^2 (and there for an x) that is not less than G/V. Meaning that at some point, it will be possible to have enough science stations and/or technologies to exploit the model.
I refer you then, back to my original solution, where a bonus amount of influence per month saved is given upon completion. (The bonus amount must be greater than the amount of influence you'd get normally, as this patch is proposing, or it's not a trade, it's just a rip-off...)
Side note, even fixing the Goons as pointed out in ticket 0015048 still does not fix the problem, it just makes s=1 instead of x, and the result becomes x<G/V and though this reduces the growth rate of x, there will still exist an x such that x > G/V.
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I suggest changing the time formula so that the effect of goons is taken into account before tech and outpost mutipliers. The goons would have their own multiplier s which is based ONLY on tech researched and doesn't take into account Outpost bonuses. So with Drak's notation the formula would be:
m = (B - sg)/x
where g is the number of goons used. The net credit gained from a job is VB - Gg. Thus the credit gained per month is (VB - Gg)x/(B - sg). We would like that this is maximised when g = 0, i.e., you never gain money overall by using goons. So we want:
(VB - Gg)x/(B - sg) < Vx
Cancelling the x and rearranging we get (VB - Gg) < V(B - sg); note that B - sg is always positive since goons can't make a project have negative time. Multiply and cancel VB: we need Vsg < Gg, i.e. s < G/V.
This looks incredibly similar to Drak's end formula, but there is a crucial difference. We are free to place restrictions on s, the number of months saved per goon, without affecting the player's actual science/construction multiplier. As long as s is affected only by Tech, there is a definite cap on how high s can go. Therefore, we can ensure that s < G/V in all cases!
For a really quick and ugly solution, we could just hard-cap s at half of G/V or something. This would be frustrating for the player, but at least it would prevent the exploit which is IMO a much bigger deal.
This suggestion would also fix 0015048, as the quadratic term in the formula is now gone.
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Drak
May 12, 2014 5:13 am
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~0037877
Last edited: May 12, 2014 5:44 am
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You can accomplish the same thing by setting goons to 1 month always, and reducing the tech multiplier adjusted base requirement (and it looks cleaner, as follows)
so time spent in dispatch = B/x-G
(actually, x should be the GREATER of the player's multiplier, or the hosting planet's multiplier)
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Drak
May 12, 2014 5:13 am
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~0037878
Last edited: May 12, 2014 5:49 am
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For the sake of fairness I'm going to now do the math for the solution I proposed in ticket 0014826 (listed as related above).
let x be player's current tech multiplier (varies as tech/stations are acquired) [**OR the hosting planet's multiplier, if greater.]
given: by design x is never less than 1 (your starting tech multiplier).
let B be base number of months of the tech being researched (constant for a given tech)
let m represent number of months taken to actually research a given tech (without using goons)
then m = B/x
let V be Value (in Cr.) per month spent on research dispatch (constant for game)
let p represent the payout (in Cr) per month spent researching a selected tech (as above)
then p = V (notice that neither goons used, nor science tech, nor stations owned, any longer has any impact on PER MONTH profit - as in the original game model, and V is the value of 1 month of solar (the player's) time if spent doing research. And is constant no matter techs, goons, stations, which tech is being researched, etc.
(The same math applies to monthly influence gain from a dispatch)
Ok then, on to the Goons
let s be the time saved per goon (in months)
then s=x [under current model, or s=1 under fixed/Ragwortshire's model]
let G be the cost of 1 Goon (constant for the game, and equal to either the pruchase price at the blackmarket or the opportunity cost of selling the goon back to his people - currently 500cr or 100cr respectively, with some exceptions for the Burlust and Peltians, who don't give credits for returned goons, but also don't ever join your science team when rescued as far as I can tell, so the exceptions don't factor in).
let c represent the DIRECT cost of 1 month of time saved by using Goons
then c=G/s, and s=x, so c=G/x [or s=1, so c=G/1, or c=G under fixed model]
Since my proposal only pays out per month spent dispatching the use of Goons only represent an OPPORTUNITY cost, and don't effect the profit per month spent dispatching, so there is no relation between p and c, and since p=V & c=G/x, thus no relation between V and (G or x) [in either model], which frees the developers to ignore goon use when balancing how many credits can be made per month spent dispatching - see, it makes your lives easier, dooo iiittt... :)
HOWEVER, there IS an OPPORTUNITY cost involved in using a goon, so let's figure out what it is:
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Drak
May 12, 2014 5:43 am
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~0037879
Last edited: May 12, 2014 6:03 am
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(Assuming all variables and relations defined to this point, and adding:)
let n be the number of goons used while researching: n is determined by the player, and is limitted by the relation n*s<(B/x-5) [note, because of the current integer use of Goons, and some poor rounding choices, this relation does not hold 100% to the integer aproximations currently used by the game, however, I'm not restricting n to integer values in this formula, as I'm only concerned in the average impact in the generalized case, not a single case - plus it's a bad thing which needs to be fixed imo (see ticket 0015061), so I'm correcting that problem as well in this idealized model]
let S represent the number of months saved by using n Goons
then S=n*s
let o represent the opportunity cost (in cr.) for TOTAL months saved by using n goons
then o=V*S+n*G (value per month lost * number of lost months plus number of goons used * Cost per Goon)
but S=n*s, so o=V*n*s+n*G, which gives o=n*(V*s+G) or o/n=V*s+G (this last formula represents the total opportunity cost, in cr., per goon used)
Under the current model, s=x, so o/n=Vx+G meaing that your opportunity cost per goon used INCREASES as your tech multiplier advances... o.0 (Which is what I pointed out in the ticket that started this all, and is made even more clear, along with other problems it creates, in ticket 0015048 - thank you to Ragwortshire)
Under 1 month fixed model: s=1, so o/n=V*1+G, or o/n=V+G, so your opportunity cost (in credits) per goon used in now constant, and defined by the developers. And is, therefore, easily balanced by the developers through adjustments to V and G as the model is reworked. Double Bonus, it's now easy for the player to figure out as well, when determining wether or not to use goons (or HOW many goons to use - we need that fix too, though there are currently some funky work-arounds...)
So clearly the s=x model currently used creates the first problem (progress increases your opportunity costs - which though not uncommon in the real world is very problematic here since we don't have an inflating economy in the game, and probably don't really want one either...), and the s=1 model fixes that a bit (as well as simplifying a bunch of code and other issues probably, see Arcen, you guys have a double incentive to fix that :).
Ok, now, we CAN stop there, and o/S defines the cost to buy a month doing something other than research.
replacing o and S gives the formula: n*(V*s+G)/(n*s) which simplifies to V+G/s, or V+G/x in the current model which reduces the opportunity cost as x rises and creates the exploit, or simply V+G in the fixed model. BUT...
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Drak
May 12, 2014 6:32 am
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~0037880
Last edited: May 12, 2014 6:35 am
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The question now is, will using Goons ever be worthwhile?
Well, in math terms, the question would be phrased:
Does there exist a monthy income A such that A>V+G/s.
If there is, then you'll ALWAYS buy goons (assuming A is always available) and if there isn't, then you'll NEVER buy goons.
Well, since we can just do more researching instead of using the goons, we can use V as a possible A and get: is V>V+G/s, and since the answer is always no, you should NEVER buy goons if you're just planning to do more research, so they have no value in simply accelerating research to do more research.
In fact, under the "proposed 1.017 fix" and s=x model, by the time you have all science tech (aprox 7 multiplier) V+G/s=8.5*7+500/7=avg. 131 cr per month and on average the best dispatch (helping with armada construction) yelds an average of 87.5 cr./mo, so don't buy goons.
About the ONLY time it makes sense to buy goons is possibly comabt (you'd need to be pulling in 131 Cr/mo * 1mo/40 turns = 3.2 cr per turn, which I find to be fairly do-able). The problem is, combat missions aren't ALWAYS available, so "buying" more solar time doesn't increase their availability, and it is therefore, just better to interrupt your research dispatch, go do the combat, then come back to the dispatch. So again, the result is Don't Buy Goons.
Basically, under 1.016 the answer is always buy goons, and under the proposed 1.017 the answer is now never buy goons... There is no strategic value in the decission, just a broken in your favor system, or a broken against you system.
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So let's consider the V becomes constant, and s=1 proposed model:
Assuming V is about 75cr/mo avg (I think that's what it was before the whole multiplier change was made) and that G stays 500cr. Then the monthly opportunity cost becomes an average of 575 cr./month, which no dispatch can touch, and combat has he same issue, so again no goons. BUT, under this system, we can now, at least, back calculate the value of G that makes it somewhat reasonable, and find a balance, but it'll still be a little broken, though with a little adjustment it can be made to be a trivial difference and it'll simply become a flavor type choice, but then the mechanic is so trivialized as to offer no strategic value. |
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@Drak: I support your proposed solution (Credit gain depends on actual time spent, goons reduce actual time spent by 1 in all cases, influence gain determined by Science tech base cost, divided by the AI's Science modifier). However, I think the analysis in your last two posts is unduly pessimistic.
Firstly, in my games I gain about 80-90% of my credits from combat and 10-20% from dispatches. So dispatch income is almost irrelevant when considering whether or not to buy goons. Once I have Cloaking and either Nuke or Gravity Missile, I can easily destroy (on Misery) 3 Flagships in 10 combat turns. That's... 3600 credits in half a month?
The limiting factor on combat income is how quickly enemy planets produce Armadas. My guess is they produce something like one every 4 months, and each one yields 2400 credits or so - so that's maybe 600/month. That's a *very* rough estimate, but it gives an idea of how goons can potentially be very useful.
So anyway: Buying goons will in practice be a good idea when you have a lot of credits but not much to spend them on, and a poor idea when you are desperately trying to save for important purchases. In most cases it will hopefully be a bad idea (it would be annoying if Credit was the most important resource for everything, which it would be if Goons were always a good idea). This is IMO exactly how things should be! The key is to find a cost for Goons which achieves this balance - much, much easier to do if both the cost and effect of the Goons in terms of solar map time are kept constant. |
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Drak
May 12, 2014 6:56 am
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~0037883
Last edited: May 12, 2014 7:26 am
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Now the big thing though: Credits aren't the only opportunity cost. Influence is also lost. The whole s=x or s=1 discussion hold in this arena as well, the only difference is you don't have the G/s factored into your opportunity cost.
Pre 1.016 this was completely lost and so goons were of VERY questionable value. 1.016 kinda fixed the influence loss, except that the whole s=x and multiplied values meant that you got a parabolic return on goons and so there was an optimal number of goons to use that'd always return more influence than not using goons, and with the same thing happening on the credit side, goons were broken. Unfortunately, the proposed 1.017 fix still has s=x, and the influence equivalent of V multiplied by x, so goons continue to be parabolic and present an optimal number of goons. So it's not fixed either.
Ok, my brain refuses to hold thoughts any more, so I'm going to have to finish how my system addresses all the problems tomorrow, but the quick version:
I can relate all other variables to just TWO developer defined constants:
Baseline Value (in Credits) of one month's time, and
Baseline Value (in credits) of one point of influence with a race.
Once those two values are decided upon, every other constant can be defined as a function of those two values. Meaning balancing the system becomes SUPER simple, and every action becomes simple to valuate in comparison, and therefore incentivise or discourage. And goon purchase becomes a strategic choice on the Player's part as they decide wether they want more credits/month or influence/month from their action.
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Drak
May 12, 2014 7:02 am
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~0037884
Last edited: May 12, 2014 7:13 am
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@Ragwortshire: If you can be constantly fighting, then yeah, goons are EASILY an always yes choice, since research takes you away form the MUCH more lucrative combat. Thing is, I don't find myself with constant battles very often, so basically, like you said, the combat gains are completely outside the dispatch system, and the question becomes, between combats, which dispatch do I do, and the answer is "whatever, just don't use goons, as they'll decrease your overall monthly income"...
So goons are useful if you've just gotta have tech x, y, or z before your next fight, but I don't generally find that to be the case either. So again, I'm left going, why bother?
I checked, and my current avg for combat is 40+cr per turn (for 1x battles), or 1600/mo. making that WAY above any opportunity costs under any system so far.
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PS: Dear Arcen, you may expect an email detailing my mathmetic consulting fee in the morning. ;) (j/k) |
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@Drak: Our experiences differ, then. I *always* want more tech, every tech, and usually right now. For example: Advanced Subatomic Theory is essential all the time. The Science bonus techs are obviously a big boost for the rest of the game. The Combat techs let me take on a ton of extra missions that I'd otherwise pass up, and I can gift them to weaker races to deter attacks against them. The techs that give +RCI each month allow you to efficiently dig other races out of their troubles.
So for my playstyle, goons (even with the proposed nerfs) are frequently awesome. Other playstyles, that focus on trade routes and what-not instead of Tech and Combat, may find them much less useful. But again, isn't that okay? |
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Fair enough, my play style might be quite different. I like to get the nobody died (oe even lost their homeworld) win, as it usually presents a more interesting challenge than the elementary schoolyard pick someone to pick on so nobody picks on you vibe the game tends to take on otherwise. So yeah, I rely on trade routes, the relations buildings, and races donating tech to each other (instead of coming from me). So though the exploit in 1.016 had me buying goons all over the place (because why not), I doubt I'll bother in 1.017. |
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Ok, update: So I tried to back-engineer the current system, so I could do some comparisons, what I found was truly epically aweful. Truly...
So, I go to the Blackmarket to pick up a couple goons, and find that goons are supposed to give me 6.9 months each. Pick up 2, and go to a planet to get some info on actual research projects, where it tells me I'll be using 2 goons and saving TWENTY EIGHT months with those two goons... So basically, the blackmarket is wrong or the planet is wrong (my guess the black market isn't taking science stations into account), oh but the math fun doesn't stop there...
I pick a mk II upgrade (thay're all 320 months base, so doesn't matter which)
I have all science techs (hence the 6.9 at the blackmarket) and 3 science stations.
Well, the dispatch tells me I'm going to be spending 19 months doing the dispatch and saving 28 months through goons. That makes sense, since 19+28=47, which is equal to 320/6.9 (if you failed your gradeschool rounding test, but whatever). Wait, don't my science stations help? What's going on here?!
Ok, so skipping over that little confussion, let's look at how much impact those 2 goons have... wait, 28 months saved through goons? Aren't my goons supposed to be worth 6.9 ea, how come they're suddenly worth twice that? All right, must be the stations or something? Maybe? I'm confused...
ok, the credits thing isn't accurate anyways (as I posted in another ticket), so just gonna skip that anyways.
Let's look at the influence I'm about to gain: @ 0.5 per month and spending 19 months on dispatch (and saving 28 with goons) I get 26 influence... (but doesn't (19+28)*0.5=23.5? How'd that round to 26 ?.? Wahh, my brain is melting... (ok, obviously the 0.5 is being rounded, if I reverse calculate the 26/47 I get aprox 0.55 which must've gotten badly rounded to 0.5)...
I give up, this thing is such a mess I'm done trying to guess what's happening because the information is soo worthless I might as well be following a noodle in a spegetti plate. Sigh... |
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Drak
May 12, 2014 9:40 am
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~0037890
Last edited: May 12, 2014 9:41 am
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Note: I just realized the the whole squared issue might be coming into play on the goons, as 2^2=4 and 4*6.9=27.6, which may have been badly rounded to 26? Man, I quit...
Also, manufacturing stations don't do jack...
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Ok, looks like alot of these issues are getting addressed in the 1.017 patch, so I'm going to do a nice formal writeup of my full proposed model and attach it once completed, should be easier to read than the text only versions going on here. :) Which means it'll take a couple of days to complete (but should be much more clear and easier to follow), so the 1.017 will probably be out before I complete it, which will allow me to include a comparitive assessment of the post-patch model, which should be much cleaner. |
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Woah, 1.017 blew up this process (see screenshot). Created a new ticket for that issue (related here), I'll wait for more information before I worry about a comparitive... |
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