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Education > Math > Re: Dimini****n...
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Re: Dimini****ng Returns in Game Engineering

by "AngleWyrm" <anglewyrm@[EMAIL PROTECTED] > Jun 25, 2008 at 06:40 PM

"Anton" <anton.txt@[EMAIL PROTECTED]
> wrote in message 
news:Xns9AC7EAC751AADantontxtgmailcom@[EMAIL PROTECTED]
>  Then I just  want  one  thing:  if  someone  gets  twice  more
>  experieced I wanna him to be one skill  level  higer.

here is a short NetHack-esque game testbed:
http://home.comcast.net/~anglewyrm/levelups.cpp.htm

What if Experience Points to level up double every time? That is to say, 
xp=2^level and level=log_2 xp. For example, to make level ten would take 
2^10=1024xp, while 500xp is log_2 500, about level 8.97; 97% of the way
from 
level 8 to level 9.

Real time p***** as the player hunts for xp with their character, so xp 
indirectly measures time spent playing the game.

As an extreme exaggeration: If a player can earn 100xp/second by killing 
stuff with their continuous beam atomic ray gun, how long will it be
before 
the player's character no longer levels up in a 40-hour week of gaming? 
Briefly, that's 14million xp/wk, taking the character to level 23. It will

be several weeks before level 25, and over a hundred years of 8-hour days
to 
get to level 30. While the software might last that long, the players will

probably be a little past their sell-by date.

We can counter the effect by introducing deadlier monsters that are worth 
twice the xp. The combat system can make sure that monsters of
significantly 
higher level usually defeat players. The player then chooses targets close

to their own level, both for survival and to level up.

The result is a linear growth pattern instead of a logarithmic one,
provided 
that a monster of comparable level is available. But the balance of player

xp vs monster xp becomes delicate. It works for an exact specified monster

count, but adding a variable number of encounters throws the balance. The 
player either levels up much faster than any opposition, making it a walk
in 
the park, or the monsters become impossible.

What can be done? Since we have countered the dimini****ng return of player

xp with an accelerating return for monster xp, the result was
provisionally 
linear. But that result is too delicate, and falls apart with a variable 
number of monsters.

So instead of fighting to force a linear growth, just make it linear to 
begin with.

http://home.comcast.net/~anglewyrm/dimini****ng_returns.htm
 




 31 Posts in Topic:
Diminishing Returns in Game Engineering
"AngleWyrm" <  2008-06-07 22:50:12 
Re: Diminishing Returns in Game Engineering
John Nagle <nagle@[EMA  2008-06-08 23:51:42 
Re: Diminishing Returns in Game Engineering
"AngleWyrm" <  2008-06-09 14:17:43 
Re: Diminishing Returns in Game Engineering
Geoffrey Summerhayes <  2008-06-10 11:59:36 
Re: Diminishing Returns in Game Engineering
"AngleWyrm" <  2008-06-11 21:04:03 
Re: Diminishing Returns in Game Engineering
nathan@[EMAIL PROTECTED]   2008-06-11 23:37:21 
Re: Diminishing Returns in Game Engineering
"AngleWyrm" <  2008-06-12 22:37:04 
Re: Diminishing Returns in Game Engineering
Russ Whiteman <russw99  2008-06-13 02:55:20 
Re: Diminishing Returns in Game Engineering
"AngleWyrm" <  2008-06-13 04:18:53 
Re: Diminishing Returns in Game Engineering
Geoffrey Summerhayes <  2008-06-13 10:06:57 
Re: Diminishing Returns in Game Engineering
"AngleWyrm" <  2008-06-14 02:03:57 
Re: Diminishing Returns in Game Engineering
Mike <m.fee@[EMAIL PRO  2008-06-16 11:06:41 
Re: Diminishing Returns in Game Engineering
Geoffrey Summerhayes <  2008-06-14 22:29:39 
Re: Diminishing Returns in Game Engineering
"AngleWyrm" <  2008-06-15 04:50:17 
Re: Diminishing Returns in Game Engineering
Miss Elaine Eos <Misc@  2008-06-15 07:56:54 
Re: Diminishing Returns in Game Engineering
"AngleWyrm" <  2008-06-15 15:34:08 
Re: Diminishing Returns in Game Engineering
nathan@[EMAIL PROTECTED]   2008-06-15 21:21:39 
Re: Diminishing Returns in Game Engineering
"AngleWyrm" <  2008-06-15 21:29:18 
Re: Diminishing Returns in Game Engineering
Geoffrey Summerhayes <  2008-06-16 13:46:40 
Re: Diminishing Returns in Game Engineering
"AngleWyrm" <  2008-06-18 00:14:44 
Re: Diminishing Returns in Game Engineering
Anton <anton.txt@[EMAI  2008-06-19 21:12:22 
Re: Diminishing Returns in Game Engineering
"AngleWyrm" <  2008-06-21 00:58:42 
Re: Diminishing Returns in Game Engineering
Anton <anton.txt@[EMAI  2008-06-21 16:00:14 
Re: Diminishing Returns in Game Engineering
"AngleWyrm" <  2008-06-21 18:02:32 
Re: Diminishing Returns in Game Engineering
Anton <anton.txt@[EMAI  2008-06-22 10:55:12 
Re: Diminishing Returns in Game Engineering
"AngleWyrm" <  2008-06-22 17:31:17 
Re: Diminishing Returns in Game Engineering
Anton <anton.txt@[EMAI  2008-06-24 19:04:52 
Re: Diminishing Returns in Game Engineering
"AngleWyrm" <  2008-06-25 18:40:13 
Re: Diminishing Returns in Game Engineering
Geoffrey Summerhayes <  2008-06-21 17:58:28 
Re: Diminishing Returns in Game Engineering
gsx <o.xhani@[EMAIL PR  2008-06-22 05:15:05 
Re: Diminishing Returns in Game Engineering
gsx <o.xhani@[EMAIL PR  2008-06-22 05:19:38 

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tan12V112 Fri Dec 5 4:29:50 CST 2008.