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				November 17th, 2004, 04:27 PM
			
			
			
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				 Re: Why whould you ever choose Mictlan? 
 Wow, someone taking Peter on in a battle of math.  Have they no fear    
Interesting discussion regardless.  I prefer to play DF or Abysia, but I hate the forced turmoil of DF more and more which really kills their startup. |  
	
		
	
	
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				November 17th, 2004, 05:31 PM
			
			
			
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				 Re: Why whould you ever choose Mictlan? 
 Mictlan-san!  I choose you! |  
	
		
	
	
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				November 17th, 2004, 08:26 PM
			
			
			
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				 Re: Why whould you ever choose Mictlan? 
 Thanks for all the info.  
 What is the differance between a 1b with sanguine rod blood hunter and a 2b with sanguine rod blood hunter?  nobody has discussed that and from my observations, the 2b with SR bloodhunters do much better.
 
 If the primary advantage of Mictlan is the efficient bloodhunting, do people play by creating a strong early bloodhunting economy and quickly getting the devil factories going and ignoring their substandard troops?  Maybe using a SC pretender for initial expansion?
 
 What are the succesful strategies for Mictlan?
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				November 17th, 2004, 08:38 PM
			
			
			
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				 Re: Why whould you ever choose Mictlan? 
 a 1b + sanguine rod will have a 90% chance of getting 1d6OE+2 slaves in a turn, given no unrest and 5000 population 
a 2b + sanguine rod will have a 100% chance of getting 1d6OE+3 slaves in a turn, given.
 
basically, a sanguine rod counts as +1 blood for the purpose of bloodhunting.  the chance for a hunter is 10% +blood*40%, if unrest is rolled above on a 1d400 and population is rolled below on a 1d5000.  results are then 1d6 open ended +blood lvl (i think sanguine contributes to this as well, but i'm not absolutely positive).
 
so a 1b +sanguine is only minorly inferior to a 2b +sanguine.  the real advantage of 2b bloodhunters is that you can send them out efficiently w/out first researching and forging sanguine rods.
 
Mictlan has many disadvantages, but gathering blood is not one of them   |  
	
		
	
	
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				November 17th, 2004, 09:21 PM
			
			
			
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				 Re: Why whould you ever choose Mictlan? 
 
	Quote: 
	
		| Nappa said: What is the differance between a 1b with sanguine rod blood hunter and a 2b with sanguine rod blood hunter?  nobody has discussed that and from my observations, the 2b with SR bloodhunters do much better.
 
 |  Do you get more bloodslaves per gold invested with the 2b? I doubt it. Although ultimately, it depends on how much gold a bloodslave is worth to you, but usually it's not worth the extra expense.
 
	Quote: 
	
		| If the primary advantage of Mictlan is the efficient bloodhunting, do people play by creating a strong early bloodhunting economy and quickly getting the devil factories going 
 |  Well, it's the main point of the theme.
 
	Quote: 
	
		| and ignoring their substandard troops? 
 |  They're poor quality, anyway don't ignore them completely - there are a few battle enchantments you can use to augment them. I've seen someone use an emergency levy of the crappiest slinger type once, about 80 of them, and annihilate an AE army 5 times its size (mostly soulless and longdead infantry, though) with only minimal priestly support - 4 or 5 mage-priests I think. Flaming Arrows did most of the killing. Not sure if Mass Protection was also up, anyway Mictlan had something like 20 or 25 casualties. Not bad for crappy slingers.
 
	Quote: 
	
		| Maybe using a SC pretender for initial expansion? 
 |  That's common practice.
 
	Quote: 
	
		| What are the succesful strategies for Mictlan? 
 |  Many, as long as they're bloody strategies.  
				__________________God does not play dice, He plays Dominions Albert von Ulm
 
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				November 17th, 2004, 08:54 PM
			
			
			
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				 Re: Why whould you ever choose Mictlan? 
 
	Quote: 
	
		| Nagot Gick Fel said Correct, if you assume the Acolyte loses all his usefulness as soon as the Mictlan priest reaches the end of his own life expectancy. Otherwise, it's pretty bad maths, and since living Acolytes are more useful to me than dead priests, I'd be glad to keep on paying the former's upkeep.
 
 
 |  Be nice. You have not done anything to show that the Acolyte should have a longer average life expectancy than a priest save the hypothetical "if an average Priest lived 10 turns shorter than a 30 turn average Acolyte due to fires from afar", which is almost certainly not the case in practise as that would require an immense number of Fires from Afar assuming a decent mass of priests and lots of slave troopers (as postulated earlier), since most blood hunters that die tend to be either a) wiped out by mass casualty spells (like murdering winter) or battle (and an Acolyte will not be able to retreat from a castle defense any more than a Priest will) You could argue it based on better hitpoints and fire resistance, and could then assign an arbitrary increased average life expectancy to stuff into the cost equation but I reject the 30 round vs 20 round until I see some voodoo mathematics to support it.    
	Quote: 
	
		| Nagot Gick Fel said 
 
	That's bad math again. Assuming U is the upkeep/turn spend on bloodhunters, I is the total income/turn, and assuming this 36% figure is correct, we're comparing (U / I) to (U * 1.36 / I) here, which is definitely not the same thing, unless U is big enough when compared to I.Quote: 
	
		| Peter Ebbesen I mean, you are discarding a 36% price difference because you choose not to count upkeep, considering it a marginal effect? I could understand discarding effects less than 5% (standard practise ) - but 36% is a heck of a lot more and not marginal.
 
 
 |  
 
 |  No it isn't - bad math, that is. I just happen to be measuring a different quantity than you.    
I was not saying it was a 36% differential of your upkeep compared to income (the calculations you are making), but a 36% differential of blood per gold. I.e. I was measuring the relative usefulness of investing gold in order to get blood (which can then be scaled by however much gold you want to invest), not the impact relative to your income.
 
Your actual income does not factor into the blood/gold relationship - it is only truly releveant when you want to find out how much to scale by or in case you want to make specific examples (e.g. including extra temples purchased to find out what is best in a specific situation).
 
	Quote: 
	
		| Then there's the fact that bloodhunters don't hunt 100% of the time. When unrest comes out of hand (and this may happen even in heavily patrolled provinces), it may be a good idea to have your hunters perform magic research for a turn or 2 if there's a lab in the place. The point here is that a 40% advantage over a degraded value isn't as impressive as a 40% advantage over an ideal value.
 
 
 |  True. On the positive side, it gets some research done that would otherwise have required somebody else (who also cost money to recruit and maintain) to do it, so it is certainly not wasted. In fact, under magic 3 the Mictlan priest is one of the best researchers in the game in terms of RP/gold, nearly matching the sage - you can never have too many priests - there is always a use for them.
 
	Quote: 
	
		| Wyvern2 said: Wow, someone taking Peter on in a battle of math.  Have they no fear
  
 
 |  Why should they? Nagot Gick Fel makes some very good points regarding income reduction that I have conveniently ignored. Of course, that cuts both ways. Just as I ignored the long term income reduction from hard blood hunting early in the game, he ignored that Mictlan can run Order 3 while Diabolical Faith has a forced Turmoil 1. In all likelyhood, not only is it cheaper to get priests in the early game for Mictlan, but Mictlan will also have more money to do so and will continue to have a massive advantage in provincial income until such time as provinces are laid waste. 
 
(The thrust of this discussion is so funny because both of us started out only discussing unit vs. unit, but as it is obvious that the entire theme is important for a thorough investigation, we have both begun selectively to use the facts that support our case. Hey, it happens, and the nice thing is that I learn things about Marignon that I hadn't thought of, since it is not a favourite nation of mine.)
 
This will to some degree be countered by the "but Marignon will preach via inquisitors instead of building temples" issue, though an inquisitor is 110 gold (plus upkeep of 3.67 gold/turn) vs a temple's 200 gold cost and 0 upkeep (and requires a lab, a temple, and a fortress to be recruited just like the Mictlan priest). Of course an inquisitor is mobile and a more useful general purpose unit than a temple, but then again, he does not count towards boosting the maximum dominion either. So while using inquisitors instead of temples is certainly a useful advantage for targeting of dominion, I am not certain that it is a great saving in money and doubt that it is enough to make up for the significant difference between turmoil 1 and order 3.
 
As for the very real need of mass sacrifice for Mictlan, I really ought to have included it though it is hard to get a good estimate since. The best guess would be about 1/2 priest output per turn per province in a very competitive game where everybody else is dominion pushing, but that is certainly not the sort of massive sacrifice I would do for the major part of the game. Still, it certainly does reduce the advantage - I am just unsure how much in practise.
 
As for the ever increasing income from the example, that does not continue to hold in Dominions 2 once the independents have been killed and it is time to face organised opposition. In fact, what with population reducing spells that can make the world end up a wasteland, it is a pretty safe bet that the wealth of the world and most realms within it will decrease over time once independents have been killed.*  In fact, if one was bloodminded enough, one could argue that it was better for a player to kill his population by himself for personal gain than wait for somebody else to do it with a few gems and a targeted spell. (Which is why I am always tempted to choose death 3 in MP because my projections suggest it is the best allocation of points in nearly all circumstances, but it is just too damn unthematic for my tastes)
 
* Except at such time in the late game when excessive clamhoarding and a fever fetish fetish completely dominates the economy. However, when that becomes the case the arguments concerning the long-term economic damage done by mass bloodhunting becomes even less compelling.
				__________________When I said Death before Dishonour, I meant alphabetically.
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				November 17th, 2004, 11:53 PM
			
			
			
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				 Re: Why whould you ever choose Mictlan? 
 
	Quote: 
	
		| Peter Ebbesen said: 
 
	Be nice. You have not done anything to show that the Acolyte should have a longer average life expectancy than a priest save the hypothetical "if an average Priest lived 10 turns shorter than a 30 turn average Acolyte due to fires from afar",Quote: 
	
		| Nagot Gick Fel said Correct, if you assume the Acolyte loses all his usefulness as soon as the Mictlan priest reaches the end of his own life expectancy. Otherwise, it's pretty bad maths, and since living Acolytes are more useful to me than dead priests, I'd be glad to keep on paying the former's upkeep.
 
 
 |  
 |  My mistake, I didn't because I thought that's what you were implying yourself. First you assume a bloodhunter's life expectancy is 30  turns, then you write
 
	Quote: 
	
		| To take your Sanguine Acolyte example, it does not make much sense to me to state that they only cost 20% more (100 gold vs 80 gold) for their extra (admittedly good) effects, when even a mere 10 round life expectancy changes the relative costs to 107 vs 167, or a cost of 56% more. 
 |  ...and here I assumed you were comparing both types' costs over 20  turns (thus the 20 vs 30 confusion) - but I was wrong: 107 is actually the cost of a Mictlan priest over only 10 turns. It makes your 56% figure look even more unfair to the Acolyte. What do you mean with these 56%? That a Mictlan priest who's alive for 10 turns and dead for another 10 turns is 56% more useful than an Acolyte who can harvest slaves for 20 turns? This comparison doesn't make sense to me.
 
	Quote: 
	
		| I reject the 30 round vs 20 round until I see some voodoo mathematics to support it.  
 |  Your fault - you shouldn't have brought these voodoo 56% into this debate first.    
	Quote: 
	
		| 
	No it isn't - bad math, that is.Quote: 
	
		| That's bad math again. Assuming U is the upkeep/turn spend on bloodhunters, I is the total income/turn, and assuming this 36% figure is correct, we're comparing (U / I) to (U * 1.36 / I) here, which is definitely not the same thing, unless U is big enough when compared to I. 
 |  
 |  Fair enough, pardon the poor wording. I should have written "good maths put to bad use".    
	Quote: 
	
		| I was not saying it was a 36% differential of your upkeep compared to income (the calculations you are making), but a 36% differential of blood per gold. I.e. I was measuring the relative usefulness of investing gold in order to get blood (which can then be scaled by however much gold you want to invest), not the impact relative to your income. 
 |  I understand what you were saying, but it doesn't make it any more relevant as a factor to consider when comparing Mictlan's bloodhunting to other nations'. Well, to me at least   . And that's because this differential is only marginal when compared to your income, and you pay new bloodhunters with your income. Basically you're telling me I should stop smoking because the price of matches has raised by 36%. I can imagine far better reasons to stop smoking - eg, tobacco prices raised by 36%, or: smoking shortens my life expectancy by 36% - these ones aren't marginal effects.
 
	Quote: 
	
		| Your actual income does not factor into the blood/gold relationship 
 |  Of course it doesn't. Where did I say that? I'm just saying that as Mictlan, your gold savings haven't a big enough impact on your upkeep (thus, indirectly, your income) to support your claim that 'noone else comes close'.
 
	Quote: 
	
		| 
	True. On the positive side, it gets some research done that would otherwise have required somebody else (who also cost money to recruit and maintain) to do it, so it is certainly not wasted.Quote: 
	
		| Then there's the fact that bloodhunters don't hunt 100% of the time. When unrest comes out of hand (and this may happen even in heavily patrolled provinces), it may be a good idea to have your hunters perform magic research for a turn or 2 if there's a lab in the place. The point here is that a 40% advantage over a degraded value isn't as impressive as a 40% advantage over an ideal value.
 
 
 |  
 |  Of course it isn't wasted - but the situation is exactly the same for Diabolists, and they're better researchers than Mictlan priests. The disadvantage seems to be Mictlan's here.
 
	Quote: 
	
		| In fact, under magic 3 the Mictlan priest is one of the best researchers in the game in terms of RP/gold, 
 |  True, so what's new here? Nothing, it's still the same upkeep issue: Mictlan priests vs Diabolists (for instance), whether they bloodhunt or research. The fact remains that, when both are forced to research while unrest is brought down to bearable levels, the blood/gold differential narrows, and the Diabolist is still worth 1 more RP.
 
	Quote: 
	
		| 
	Why should they? Nagot Gick Fel makes some very good points regarding income reduction that I have conveniently ignored. Of course, that cuts both ways. Just as I ignored the long term income reduction from hard blood hunting early in the game, he ignored that Mictlan can run Order 3 while Diabolical Faith has a forced Turmoil 1.Quote: 
	
		| Wyvern2 said: Wow, someone taking Peter on in a battle of math.  Have they no fear
  
 
 |  
 |  Of course - but it's not due to the merits of Mictlan's priests. Order 3 isn't required for Mictlan anyway, I know a few players who are enamoured to Mictlan's heroes enough to pick Luck+3 instead. Not that it's a strategy I'd recommend, but still...
 
	Quote: 
	
		| In all likelyhood, not only is it cheaper to get priests in the early game for Mictlan, but Mictlan will also have more money to do so and will continue to have a massive advantage in provincial income until such time as provinces are laid waste. 
 |  In all likelihood... Hmmm, I've run dozens of tests with both Mictlan, Diabolical Faith, and both Abysias themes, and never found evidence Mictlan had the sharp edge over the other nations you want us to believe it has. My own experience tells me all of these are rather well matched when it comes to bloodhunting. Initial conditions (the map, neighbours, easy early expansion or not) have a far greater impact than the nation itself. Even Diabolical Faith's forced turmoil isn't that painful when compared to an Order 3 Mictlan. Mictlan will have to divert resources (sacrifices, temples) to push its dominion and reaps the benefits of its order scale in other provinces than the capital - a painfully slow process in my experience. DF on the other hand can alchemize its early fire gems for a +60 gold early income, almost matching Mictlan's initial income - and use its 200 'free' design points to buy other goodies.
 
	Quote: 
	
		| (The thrust of this discussion is so funny because both of us started out only discussing unit vs. unit, but as it is obvious that the entire theme is important for a thorough investigation, we have both begun selectively to use the facts that support our case. Hey, it happens, and the nice thing is that I learn things about Marignon that I hadn't thought of, since it is not a favourite nation of mine.) 
 |  It's a favourite of mine, especially DF. OTOH, I really hate Mictlan because of the MM issues (don't pool these sacrificial bloodslaves - PLEEEASE!)
 
	Quote: 
	
		| This will to some degree be countered by the "but Marignon will preach via inquisitors instead of building temples" issue, though an inquisitor is 110 gold (plus upkeep of 3.67 gold/turn) vs a temple's 200 gold cost and 0 upkeep (and requires a lab, a temple, and a fortress to be recruited just like the Mictlan priest). Of course an inquisitor is mobile and a more useful general purpose unit than a temple, but then again, he does not count towards boosting the maximum dominion either. 
 |  No, so what? Unless I'm playing with dominion VCs (which I never do), why would I want to increase my max dominion as long as my Inquisitors negate the enemy's just fine? For pushing my dominion farther into enemy territory to get the morale bonus? Marignon doesn't really need that: its sacred troops have awesome morale already, its crossbowmen don't have to check morale as often as melee troops, and for DF - its demonic troops don't care.
 
	Quote: 
	
		| So while using inquisitors instead of temples is certainly a useful advantage for targeting of dominion, I am not certain that it is a great saving in money and doubt that it is enough to make up for the significant difference between turmoil 1 and order 3. 
 |  It depends widely on the circumstances. Sometimes you need lots of Inquisitors, sometimes you don't - in that case, the gold savings can be everything except negligible. Sometimes I DO build a few extra temples, besides the ones I need to recruit my priests, but it's extremely rare. Heck, with DF I'll pick Luck +3 and just wait for these temples to pop up!  
				__________________God does not play dice, He plays Dominions Albert von Ulm
 
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				November 18th, 2004, 05:18 AM
			
			
			
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				 Re: Why whould you ever choose Mictlan? 
 
	Quote: 
	
		| Nagot Gick Fel said: 
 
	My mistake, I didn't because I thought that's what you were implying yourself. First you assume a bloodhunter's life expectancy is 30 turns, then you writeQuote: 
	
		| Peter Ebbesen said: 
 
	Be nice. You have not done anything to show that the Acolyte should have a longer average life expectancy than a priest save the hypothetical "if an average Priest lived 10 turns shorter than a 30 turn average Acolyte due to fires from afar",Quote: 
	
		| Nagot Gick Fel said Correct, if you assume the Acolyte loses all his usefulness as soon as the Mictlan priest reaches the end of his own life expectancy. Otherwise, it's pretty bad maths, and since living Acolytes are more useful to me than dead priests, I'd be glad to keep on paying the former's upkeep.
 
 
 |  
 |  
 
 
	...and here I assumed you were comparing both types' costs over 20 turns (thus the 20 vs 30 confusion) - but I was wrong: 107 is actually the cost of a Mictlan priest over only 10 turns. It makes your 56% figure look even more unfair to the Acolyte. What do you mean with these 56%? That a Mictlan priest who's alive for 10 turns and dead for another 10 turns is 56% more useful than an Acolyte who can harvest slaves for 20 turns? This comparison doesn't make sense to me.Quote: 
	
		| To take your Sanguine Acolyte example, it does not make much sense to me to state that they only cost 20% more (100 gold vs 80 gold) for their extra (admittedly good) effects, when even a mere 10 round life expectancy changes the relative costs to 107 vs 167, or a cost of 56% more. 
 |  
 
 |  I was comparing 10 turns vs 10 turns as an alternative to the 30 turns vs 30 turns first postulated by me. I.e. in both cases, I was assuming that Acolytes and Priests had essentially the same average lifetime, but, since the longer life expectancy one examines the more the equations favour Mictlan, I chose to consider the special case of an insanely low low life expectancy (10) compared to the one I usually use (30). In other words, even in a heavy spell and battle environment where you can only expect a blood hunter to survive for 10 turns, you are still getting significantly more blood for the buck as Mictlan.
				__________________When I said Death before Dishonour, I meant alphabetically.
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				November 18th, 2004, 09:27 AM
			
			
			
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				 Re: Why whould you ever choose Mictlan? 
 
	Quote: 
	
		| Peter Ebbesen said: I was comparing 10 turns vs 10 turns as an alternative to the 30 turns vs 30 turns first postulated by me.
 
 |  Then, unless I missed something, your calculations are wrong: an Acolyte only costs 134 gold over 10 turns, 167 is for 20 turns. Then, your statement
 
	Quote: 
	
		| even a mere 10 round life expectancy changes the relative costs to 107 vs 167, or a cost of 56% more. 
 |  doesn't make any sense at all, since relative costs over the same amount of time are independent of time: the total cost a sacred unit X over T turns is
 
TotalCost(X,T) = BaseCost(X) + (BaseCost(X)/30 * T)
 
Thus
 
TotalCost(MictPriest,T) / TotalCost(SangAcol,T)
 
= (BaseCost(MictPriest) + (BaseCost(MictPriest)/30 * T)) / (BaseCost(SangAcol) + (BaseCost(SangAcol)/30 * T))
 
= BaseCost(MictPriest) * (1 + 1/30 * T) / BaseCost(SangAcol) * (1 + 1/30 * T)
 
= BaseCost(MictPriest) / BaseCost(SangAcol)
 
= 0.8
 
As you see, the relative costs remain the same (20% less, or 25% more) whatever value you give to T. So, where do these 56% come from?
				__________________God does not play dice, He plays Dominions Albert von Ulm
 
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				November 18th, 2004, 11:45 AM
			
			
			
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				 Re: Why whould you ever choose Mictlan? 
 
	Quote: 
	
		| Nagot Gick Fel said: 
 
	Then, unless I missed something, your calculations are wrong: an Acolyte only costs 134 gold over 10 turns, 167 is for 20 turns. Then, your statementQuote: 
	
		| Peter Ebbesen said: I was comparing 10 turns vs 10 turns as an alternative to the 30 turns vs 30 turns first postulated by me.
 
 |  
 
 |  
[/quote] 
My bad - I completely forgot that a Sanguine Acolyte was sacred as well (was thinking in terms of the non-sacred diabolist) and calculated 100 + (10*100/15) = 167!
 
This changes the situation completely and you may just have a discussion-winner.
 
	Quote: 
	
		| 
 
	doesn't make any sense at all, since relative costs over the same amount of time are independent of time: the total cost a sacred unit X over T turns isQuote: 
	
		| even a mere 10 round life expectancy changes the relative costs to 107 vs 167, or a cost of 56% more. 
 |  
 TotalCost(X,T) = BaseCost(X) + (BaseCost(X)/30 * T)
 
 Thus
 
 TotalCost(MictPriest,T) / TotalCost(SangAcol,T)
 
 = (BaseCost(MictPriest) + (BaseCost(MictPriest)/30 * T)) / (BaseCost(SangAcol) + (BaseCost(SangAcol)/30 * T))
 
 = BaseCost(MictPriest) * (1 + 1/30 * T) / BaseCost(SangAcol) * (1 + 1/30 * T)
 
 = BaseCost(MictPriest) / BaseCost(SangAcol)
 
 = 0.8
 
 As you see, the relative costs remain the same (20% less, or 25% more) whatever value you give to T. So, where do these 56% come from?
 
 |  The 56% was based on the mistaken assumption that an Acolyte was not sacred. When one is sacred and the other non-sacred, things do not cancel out as nicely as they do when both are sacred, i.e. I was looking at
 
BaseCost(MictPriest) * (1 + 1/30 * T) vs. BaseCost(SangAcol) * (1 + 1/15 * T)
 
where, for T = 10, BaseCost(MictPriest)=80, BaseCost(SangAcol)=100, you get
 
80*(1 + 1/30 * 10) vs 100*(1 + 1/15 * 10) i.e. 107 vs 167 which you can use to see either 107/167 = 0.64 (i.e. a Mictlan priest being 46% cheaper over ten rounds) or 167/107 = 1.56 (i.e. given that you get the same amount of blood from each priest/acolyte, you get 56% more blood from the Mictlan priest per buck).
 
Anyhow, you just won this discussion hands down for the Sanguine Acolyte (but not for the Diabolist yet   ). With both being sacred the advantage is indeed a fixed 20% in cost or 25% in blood, which given the slightly higher vulnerability of Mictlan's priests and the fact that blood sacrifice is essential for Mictlan it is likely to be parlayed into a meager 0-10% advantage in each Category.
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