Research

Publications

- "Fixed points imply chaos for a class of differential inclusions that arise in economic models,'' (with Brian Raines),
*Transactions of the American Mathematical Society,*Volume 364, Number 5, May 2012, pp. 2479-2492. - "Chaos and Capacity Utilization under Increasing Returns to Scale,"
*Journal of Economic Behavior & Organization,*Volume 77, Issue 2, February 2011, pp. 147-162. - "Chaotic Sets and Euler Equation Branching," (with Brian Raines),
*Journal of Mathematical Economics*, Volume 46, Issue 6, November 2010, pp. 1173-1193. - "Basins of Measures on Inverse Limit Spaces for the Induced
Homeomorphism," (with Judy Kennedy and Brian
Raines),
*Ergodic Theory and Dynamical Systems*, Volume 30, Issue 04, August 2010, pp. 1119-1130. - "Balanced-Budget Rules: Chaos and Deterministic Sunspots,"
*Journal of Economic Theory, Volume 145, Issue 3, May 2010, pp. 1060-1085.* - "Chaos and Sector-Specific Externalities,"
*Journal of Economic Dynamics & Control*, Volume 33, Issue 12, pp. 2030-2046, December 2009. - "Uniform Measures on Inverse Limit Spaces,"
*Applicable Analysis*, Volume 88, No. 2, February 2009, pp. 293--299 - "The Inverse Limits Approach to Chaos," (with
Judy Kennedy and James Yorke),
*Journal of**Mathematical Economics*, Volume 44, Issues 5-6, pp. 423--444, April 2008. - "Chaos and Models with Backward Dynamics," (with Judy Kennedy),
*Journal of Economic Dynamics & Control,*Vol. 32, pp. 939–955, 2008*.* - "Inverse Limits and an
Implicitly Defined Difference Equation from Economics," (with
Judy Kennedy and James Yorke), Topology
and Its Applications, Volume 154, Issue 13, 1, pp. 2533-2552, July 2007.
- "Sunspots in a Cash-in-Advance Model: a Quantitative Assessment," Journal of Macroeconomics, Volume 29, Issue 1, pp. 123-144, March 2007.
- "Money as Real Options in a Cash-in-Advance Economy
," (with Stacie Beck), Economics
Letters, Volume 87, pp. 337-345, 2005.
- "Default, Reputation and
Balanced-Budget Rules,"
*Review of Economic Dynamics*, Volume 7, No. 2, April 2004. - "Balance-Budget Rules: Welfare Loss and Optimal
Policies,"
*Review of Economic Dynamics,*Volume 4, No. 2, April 2001.

Work in progress ...

- Measures on Inverse Limit Spaces for the Shift Homeomorphism.
- Markov switching models.
- Chaos and backward dynamics.
- Chaos and multiple equilibria in dynamic general equilibrium models.
- Expected utility in models with chaos and multiple equilibria.
- Oil shocks in dynamic general equilibrium models.
- Inflation volatility.