Computability, Complexity and Constructivity in Economic Analysis

This cutting-edge collection of essays develops an economic theory based on the mathematics of the digital computer. It proposes a wholly different mathematical foundation for economic theory and applied economics, providing explicit formalizations and applications to traditional issues in economic analysis. Thus, problems of learning, inference, growth, production theory, financial markets, emergent market forms, computational complexity and stochastic complexity are studied with recursion theoretic, constructive and dynamical systems theoretical tools. Moreover, purely theoretical issues of computability, constructivity and universal computation are broached in clear and instructive ways. The collection is ideally suited for graduate courses on economic theory, macroeconomic and microeconomic theory and mathematical economics.