Research

Publications

• “Likelihood Relations and Stochastic Preferences,” (with Marcel K. Richter), Journal of Mathematical Economics, 62(2016), 28-35.
• “Evolution of Walrasian Equilibrium in an Exchange Economy,” (with Chongmin Kim), Journal of Evolutionary Economics, 21(2011), 619-647.
• “Long-run Equilibrium with Dominated Strategies,” (with Chongmin Kim), Games and Economic Behaviour, 68(2010), 242-254.
• “Preference Densities and Social Choice,” (with Marcel K. Richter), Economic Theory, 36(2008), 225-238.
• “Network Formation and Stable Equilibrium,” (with Chongmin Kim), Journal of Economic Theory, 133(2007), 536-549.
• “Infinite Inequality Systems and Cardinal Revelations,” (with Marcel K. Richter), Economic Theory, 26(2005), 947-962.
• “Revealed Preference and Differentiable Demand,”(with Peter M.H. Lee), Economic Theory, 25(2005), 855-870.
• “Concave Utility on Finite Sets,” (with Marcel K. Richter) Journal of Economic Theory, 115(2004), 341-357.
• “A Fixed Point Theorem for O-minimal Structures,” Mathematical Logic Quarterly, 49(2003), 598-602.
• “Revealed Homothetic Preference and Technology,” (with Pak-Wai Liu) Journal of Mathematical Economics, 34(2000), 287-314.
• “Definable Utility in O-minimal Structures,” (with Marcel K. Richter) Journal of Mathematical Economics, 34(2000), 159-172.
• “Computable Preference and Utility,” (with Marcel K. Richter) Journal of Mathematical Economics, 32(1999), 339-354.
• “Non-computability of Competitive Equilibrium,” (with Marcel K. Richter) Economic Theory, 14(1999), 1-28
• “Characterizing C2 Aggregate Excess Demand Functions,” Economic Theory, 12(1998), 177-188.
• “Excess Demand functions, Equilibrium Prices and Existence of Equilibrium,” Economic Theory, 10 (1997), 39-54.
  (Reprinted in: Walker,-Donald-A., ed. Equilibrium. Volume 2. Equilibrium in traditional models. Elgar Reference Collection. Critical Ideas in Economics, vol. 2. Cheltenham, U.K. and Northampton, Mass.: Elgar; distributed by American International Distribution Corporation, Williston, Vt., 2000; 68-83.)
• “Computability of Minimizers and Separating Hyperplanes,” Mathematical Logic Quarterly, 42 (1996), 564-568.
• Economic Equilibrium Theory: a Computability Viewpoint. Ph.D. dissertation, University of Minnesota 1994.

Courses Taught