This volume presents the proceedings of a workshop on geometry, topology, and markets held at The Fields Institute. The workshop was attended by eminent mathematicians and financial and economic theorists. Using a topological approach, the volume discusses new mathematics and its applications to social sciences and financial markets.

Topics addressed at the workshop included new topological invariants for existence, characterization and computation of market equilibria and their relation to social choice and to other forms of resource allocation, competitive and cooperative systems, algebraic geometry and markets with increasing returns, computational complexity, and stochastic processes and financial markets.

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

Readership

Graduate students and research mathematicians interested in mathematics and economics.

Table of Contents

• M. W. Hirsch -- Applications of dynamical systems to deterministic and stochastic economic models
• G. Chichilnisky -- A unified perspective on resource allocation: Limited arbitrage is necessary and sufficient for the existence of a competitive equilibrium, the core and social choice
• M. Broadie and J. Detemple -- American options on dividend-paying assets
• Y. Baryshnikov and G. Chichilnisky -- Intergenerational choice: A paradox and a solution