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Crawford, Daniel PMinimizing Pollution Through Semi-Antagonistic Equilibrium Points
Master of Science, University of Akron, 2013, Mathematics
A game theoretic model between a firm and regulator is studied in an effort to minimize pollution. This paper focuses on locating semi-antagonistic equilibrium points within the model for the purpose of verifying a suggestion that such points might identify equilibrium strategies that also minimize pollution amongst all equilibrium points. The impact of the variables governing the model on the existence of these sorts of points is also covered. A program will produce scatter plots that show the existence of such points under different conditions, revealing the inability of this type of point to guarantee the desired outcome.

Committee:

Stefan Forcey, Dr. (Advisor); James Cossey, Dr. (Committee Member); Gerald Young, Dr. (Committee Member)

Subjects:

Economic Theory; Mathematics

Keywords:

game theory; pollution; equilibria; equilibrium points