| Online Games Used to Show Relationship Between Skill and Cha
Previous attempts to quantify the relationship between skill and chance have involved building theoretical models or playing software bots against each other. However, Ingo Fiedler and Jan-Philipp Rock at the University of Hamburg's Institute of Law and Economics in Germany argue that these methods fail to reflect real games, and this may explain why some courts and lawmakers have yet to be swayed by them.
So over three months, the pair recorded the outcomes of 55,000 online players playing millions of hands of poker's most popular variant, "no-limit Texas hold 'em".
They reasoned that if skill dominated, this would eventually show itself over many hands, so they chose two factors to define this threshold.
Firstly, they measured how much each player's winnings and losses fluctuated: the higher this variance, the greater the role of chance. Secondly, they measured the average value of a player's winnings or losses: highly skilled or terrible players would do noticeably better or worse than would be expected by chance alone.
Based on these factors, they found that the threshold at which the effects of skill start to dominate over chance is typically about 1000 hands, equivalent to about 33 hours of playing in person or 13 hours online, where the rate of play is brisker.
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