Using Prediction Market Data to Illustrate Undergraduate Probability

Abstract Prediction markets provide a rare setting, where results of mathematical probability theory can be related to events of real-world interest and where theory can be compared to data. The paper discusses two simple mathematical results—the halftime price principle and the serious candidates principle—and corresponding data from baseball and the 2012 Republican Presidential nomination race.

[1]  Sheldon M. Ross,et al.  Stochastic Processes , 2018, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics.

[2]  John N. Tsitsiklis,et al.  Introduction to Probability , 2002 .

[3]  J. Kingman.  A FIRST COURSE IN STOCHASTIC PROCESSES , 1967 .

[4]  Stewart N. Ethier.  The Doctrine of Chances , 2010 .

[5]  Aarnout Brombacher,et al.  Probability... , 2009, Qual. Reliab. Eng. Int..

[6]  Jim Freeman,et al.  Stochastic Processes (Second Edition) , 1996 .

[7]  Samuel Karlin,et al.  A First Course on Stochastic Processes , 1968 .

[8]  Charles M. Grinstead,et al.  Introduction to probability , 1999, Statistics for the Behavioural Sciences.

[9]  David Williams,et al.  Probability with Martingales , 1991, Cambridge mathematical textbooks.

[10]  Kenneth Lange,et al.  Applied Probability , 2003 .

[11]  Stewart N. Ethier,et al.  The Doctrine of Chances: Probabilistic Aspects of Gambling , 2010 .