'Fixed-points': extending and deepening our understanding of mathematical and computational aspects of game theory
Australian Research Council (ARC)
ARC Discovery Project
Start / End Date: 2007 to 2011
Professor Andrew McLennan, ARC Discovery Project DP0773324
This work will extend and deepen our understanding of mathematical and computational aspects of game theory. It will produce computer code embodying new methods of solving systems of nonlinear equations, which is useful in many areas of applied research in economics, in other disciplines such as chemistry, and potentially in the analysis of business operations. The project will also deepen our understanding of the underlying mathematics of such systems, and of other mathematical foundations of economic research. One application will be a new measure of the relative power resulting from voting rules. Such measures assist the design of democratic institutions by allowing the designer to assess the fairness of the outcomes they produce.