Northern Kentucky University
Study 1 (Fitter): Super Bowl Squares: A Different Approach
Institution
Northern Kentucky University
Faculty Advisor/ Mentor
Joe Nolan; David Agard
Abstract
Super Bowl Squares is a game played across the country every year. In this game individuals purchase squares from a ten-by-ten grid at a fixed price. After all squares are purchased, digits (0-9) are randomly assigned to the rows and likewise to the columns. The row and column headings represent the “ones” digit for the respective team scores in the National Football League (NFL) championship game. At the end of each quarter, a portion of the pool is awarded to the holder of the square that matches the current score of the game. Empirical data from the NFL were used to estimate scoring patterns; these estimates were incorporated into Markov models that approximated the “fair” price for each square under the condition that the assignment of the digits is known in advance of purchase.
Study 1 (Fitter): Super Bowl Squares: A Different Approach
Super Bowl Squares is a game played across the country every year. In this game individuals purchase squares from a ten-by-ten grid at a fixed price. After all squares are purchased, digits (0-9) are randomly assigned to the rows and likewise to the columns. The row and column headings represent the “ones” digit for the respective team scores in the National Football League (NFL) championship game. At the end of each quarter, a portion of the pool is awarded to the holder of the square that matches the current score of the game. Empirical data from the NFL were used to estimate scoring patterns; these estimates were incorporated into Markov models that approximated the “fair” price for each square under the condition that the assignment of the digits is known in advance of purchase.