日本赛马博彩中的幂律分布
Power-law distribution in Japanese racetrack betting
摘要:
赌博是人类最基本的经济活动之一。对赌博活动的调查为人们的经济行为提供了深刻的见解,并为经济物理学的研究提供了启示。在本文中,我们提出了一个由日本赛马协会组织的比赛的最终赔率分布的分析。最终赔率$P_o(x)$的分布表明明显的幂律$P_o(x)\propto 1/x$,其中$x$表示最终赔率。这个幂律可以解释的基础上的假设,即每个投注者投注他的钱在马似乎是最强大的比赛。
英文摘要:
Gambling is one of the basic economic activities that humans indulge in. An investigation of gambling activities provides deep insights into the economic actions of people and sheds lights on the study of econophysics. In this paper we present an analysis of the distribution of the final odds of the races organized by the Japan Racing Association. The distribution of the final odds $P_o(x)$ indicates a clear power law $P_o(x)\propto 1/x$, where $x$ represents the final odds. This power law can be explained on the basis of the assumption that that every bettor bets his money on the horse that appears to be the strongest in a race.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。