Date of Award


Degree Type

Honors College Thesis


Computing; Mathematics

First Advisor

Bernd Schroeder, Ph.D.

Advisor Department



Online games are captivating and engage users across the world. Some game formats maintain a pseudo-currency to give incentive to the players to play the game in search of rewards as set by the game provider. We model a multi-stage online game and predict how much revenue game providers obtain per game. We compare the revenues generated from different tournament formats to find the one with the maximum per-game revenue for the provider. We have also found the limiting value of the revenue as the game provider increases the number of stages.

Our methods are based on concepts of the transition matrix and its stationary form from Markov Chains. The method is scalable and can be used in complex tournament formats by adjusting the proportion of players making it to the next stage in accordance with the tournament format.