20090902, 20:55  #1 
Jul 2004
Mid Calder, Scotland
5×37 Posts 
MMO Property Calculation
Hi Folks,
I am NOT a math genius like many of you and because I feared Dr Silverman's wrath I did not post this in the maths thread instead I post this as a puzzle! :) I play an MMO on my iPhone and currently I buy properties based on return on investment. In the text file attached is the list of properties you can buy. each has a base cost, a fixed income (does not change) and a price increase for each that you buy (5%) each time. So for example a Magazine stand costs $3,000 to buy the first time and then $$3,150 the next and so on Once you purchase a property it provides income once an hour (based on the income column which does not change with each purchase). Thus each property you buy gives a decreasing ROI. Currently I do a simple calculation based on ROI and buy the property with the highest ROI. Q1) Is this the fastest way to make money in game or should I be following a different path!! Is time a factor? Where the ROI is equal I choose the cheaper property to purchase as I have manually worked out that this is more efficient and I was wondering Q2) If I was correct and if there were any formulas that proved this I would appreciate any insights on the matter as I am trying to build a spreadsheet that will help my fellow players! 
20090902, 23:48  #2  
Aug 2006
1011101011011_{2} Posts 
Quote:
If an expensive property has only a slightly better ROI than a cheaper one, it's possible that the return you'd get on the cheaper property while waiting on the more expensive one would make up the difference. I would generally go with your formula. It's the best you can do with no knowledge of the player's income. 

20090903, 00:52  #3 
Einyen
Dec 2003
Denmark
C7B_{16} Posts 
It all depends on how long you gain income from the property and/or how long you will play the game. Given enough time the property with the highest income will always be the best choice.
Your total income from each property will be: totalincome = time*income  cost So plotting totalincome as a function of time this will be straight lines with increasing slopes for the bigger properties, given enough time the biggest slope (income) wins. It will always come down to how much time left of the game: Say you have 1 magazine stand and $8,000 left and game runs for another 1 week (=168 hours), should you buy another magazine stand for $3,150 or save up $18,500 for a Barber Shop? Option1: The extra magazine stand will in 1 week give you: 168*125  3150 = $17,850 Option2: You need to save for (185008000)/125=84h to buy barber shop, so you'll only get income for 84h, so barber shop will give you: 84*325  18500 = $8,800 Now if game had run for 2 weeks the figures would be $38,850 and $63,400 so Barber Shop would be the better choice. Notice these numbers are not your total cash at the end of the game, but just the amount from the new property. Last fiddled with by ATH on 20090903 at 00:57 
20090903, 13:12  #4 
May 2004
New York City
5·7·11^{2} Posts 
Does MMO stand for "massively multiplayer online" game?
If so, does it work anything like GIMPS? 
20090903, 14:30  #5  
Jul 2004
Mid Calder, Scotland
B9_{16} Posts 
Quote:
A player's fixed income is only what they earn from properties. They can earn revenue from doing jobs or fights. Would this affect things? 

20090903, 14:33  #6 
Jul 2004
Mid Calder, Scotland
5×37 Posts 
Yep
A lot of the calculations are handled server side as all of the players need to be updated. But I suppose in some ways, yes it does as there are thousands of clients all working independently and then submitting results to a central server :) Last fiddled with by Bundu on 20090903 at 14:33 
20090903, 14:35  #7  
Jul 2004
Mid Calder, Scotland
5×37 Posts 
Quote:


20090903, 14:48  #8 
Jul 2004
Mid Calder, Scotland
10111001_{2} Posts 
and thanks for all the answers so far!!

20090903, 16:06  #9  
Aug 2006
3×1,993 Posts 
I said how in my post! Here's a more concrete example.
Suppose your hourly income (from properties as well as fights, etc.  the math doesn't care) is 10 units and that you can buy two properties: one costing 1000 and giving an hourly income of 12, and one costing 100 and giving an hourly income of 1. The first one has a higher ROI, so let's say you buy it first and then the other. (Maybe its cost increases enough after one purchase that the cheap one would be better.) Hour 0: money 0, income 10/hour Hour 99: money 990, income 10/hour Hour 100: money 0, income 22/hour Hour 104: money 88, income 22/hour Hour 105: money 10, income 23/hour Let's compare that to the other order. Hour 0: money 0, income 10/hour Hour 9: money 90, income 10/hour Hour 10: money 0, income 11/hour Hour 100: money 990, income 11/hour Hour 101: money 1, income 23/hour Hour 105: money 93, income 23/hour This happens when the time to buy the more expensive building is large and the difference in ROI is small. Quote:
If property A has a better ROI than property B and costs the same or less, or if property A costs less and has the same ROI vs. B, then A will always be better. 

20090904, 10:43  #10  
Jul 2004
Mid Calder, Scotland
271_{8} Posts 
Quote:
I will have a look at how I can work this into my sheet this weekend. I obviously need to alter it to take time in as a consideration and have some method for players accounting for "additional" income. I love a good spreadsheet challenge! 

20090905, 15:55  #11 
Sep 2009
2 Posts 
interesting.

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