One pure query to surprise when designing an untested, two-player board or card sport is how seemingly will probably be that the participant who goes first wins, based mostly on that and no different elements. I used to be questioning if any severe statistical analysis has established a broad, baseline distribution throughout numerous such video games. For instance, I’d guess that the participant going first wins many video games with 54%-55% likelihood, however only a few video games with 89%-90% likelihood, all talent and expertise elements aggregated out (or it’d make sense to deal with simply aggressive play environments since first-mover (dis)benefit is commonly obfuscated by bigger errors amongst newer gamers), however I do not know if the histogram would strategy normality round some imply, or another distribution. Clearly, solely real-world video games with real-world participant rationality are fascinating, so human-solved video games (Nim), Zermelo’s theorem, and excellent rationality assumptions of sport principle ought to be excluded.
Ideally (to the above goal), the samples can be collected earlier than designers made an intentional effort to steadiness out first-player (dis)benefit, however that is clearly a logistic stretch. Much less demanding can be gathering samples after video games have been launched, however earlier than (m)any stay service updates have been utilized to steadiness out first-player (dis)benefit.
Is something recognized what this distribution of first-player (dis)benefit over many various video games appears like?