Research on information propagation analyzing odds in horse racing

We focus on the odds in horse racing to study the information propagation to get an idea for fluctuation on information propagation. Analyzing past data of horse racing, and constructing a mathematical model of winning probability, we find a correlation between odds and results of races. As a first step, we focus on two ways of betting called „WIN” and „EXACTA.” We confirm that the winning probability derived from odds of each horse is mostly in accord with actual data. Then, comparing the result with a stochastic model of winning probability constructed with EXACTA odds, we find out fluctuations between them. Finally, we consider where is the origin of the fluctuations