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Do 1v1 games improve multiplayer balance

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Date Editor Before After
7/18/2022 10:59:26 PMDErankBrackman before revert after revert
Before After
1 Here's a mathematical line of reasoning that supports @TinySpider: A system consists of a calculation system and a choice of considered games. The system that was originally used at the time produced team games with chances close to 50%. If we analyze the data with a different system, chances will deviate more from 50%. If the calculation system is inherently too close or too far away from 50% or the used scoring rule inherently overly punishes being too close or too far away from 50%, we get a scoring distortion depending on whether the system is further away from the original system. 1 Here's a mathematical line of reasoning that supports @TinySpider: A system consists of a calculation system and a choice of considered games. The system that was originally used at the time produced team games with chances close to 50%. If we analyze the data with a different system, chances will deviate more from 50%. If the calculation system is inherently too close or too far away from 50% according to the used scoring rule ( which may be because the scoring rule inherently overly punishes being too close or too far away from 50%) , we get a scoring distortion depending on whether the system is further away from the original system.
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3 I'm not sure if this effect really matters as long as we use a good calculation system and a good scoring rule. The scoring rule is good. Now we have to get the calculation system right. To do that, we should [url=https://zero-k. info/Forum/Post/250773#250773]remove the 0. 5 fudge ( only second half of the post) [/url] and see the results, then [url=https://zero-k. info/Forum/Post/250763#250763]change denom[/url] and see the results. If they are still negative, play around with [url=https://zero-k. info/Forum/Post/250760#250760]D mod[/url]. 3 I'm not sure if this effect really matters as long as we use a good scoring rule and a system that is good according to this scoring rule. The scoring rule is good. Now we have to get the calculation system right. To do that, we should [url=https://zero-k. info/Forum/Post/250773#250773]remove the 0. 5 fudge ( only second half of the post) [/url] and see the results, then [url=https://zero-k. info/Forum/Post/250763#250763]change denom[/url] and see the results. If they are still negative, play around with [url=https://zero-k. info/Forum/Post/250760#250760]D mod[/url]. By fitting the D mod to maximize the log score, it should be possible to eliminate the effect.