## Research

### Research Interests

Microeconomic Theory, Mathematical Economics, Mechanism Design.

### Working Papers

"Continuous Utility Representation of Preferences with Uncertainty" (2016).

"Elections Generate all Binary Relations on Infinite Sets" (2015).

"A Marriage Matching Menagerie" (with James Boudreau) (2015).

"Topologies Defined by Binary Relations" (2009).

"Marriage Matching with Correlated Preferences" (with Onur B. Celik), (2006).

"Can a Newly Proposed Mechanism for Allocating Contracts in U.S. Electricity Wholesale Markets Lead to Lower Prices?" (2004).

### List of Published and Forthcoming Papers

"Topologies Generated by Nested Collections," (with M.J. Campion and E. Indurain). *Bulletin of the Malaysian Mathematical Sciences Society*, (2016) 395: 545-561.

"Two Preference Metrics Provide Settings for the Study of Properties of Binary Relations," *Theory and Decision*, forthcoming.

"Probabilistic Evaluations: A Universal Representation for Preferences over Countable Sets," *Journal of Mathematical Economics* (2015) 57: 25-27.

"Preference, Topology and Measure" *Social Choice and Welfare*, (2014) 43: 507-514.

"What Price Stability? Social Welfare in Matching Markets," (with J. Boudreau). *Mathematical Social Sciences* (2014) 67: 27-33.

"Topological Interpretations of Fuzzy Subsets. A Unified Approach for Fuzzy Thresholding Algorithms," (with E. Barrenechea, H. Bustine, M.J. Campion and E. Indurain). *Knowledge-Based Systems* (2013) 54: 163-171.

"A Simple Voting Scheme Generates all Binary Relations on Finite Sets," *Journal of Mathematical Economics* (2013) 49(2): 230-233.

"Preferences and the Price of Stability in Matching Markets," (with James Boudreau), *Theory and Decision* (2013) 74(2): 565-589.

"On Topological Spaces Whose Topology is Induced by a Binary Relation," (with Esteban Indurain) *Quaestiones Mathematicae* (2013) 36(1): 47-65.

"Dividing Profits Three Ways: Impartiality vs. Consensuality," (with James Boudreau) *Mathematical Social Sciences* (2011) 62: 79-86.

"Marriage Matching and Intercorrelation of Preferences," (with James Boudreau), *Journal of Public Economic Theory* (2010) 12: 587-602.

"How to Recognize a Single-Issue Spatial Election," *Journal of Mathematical Economics* (2010) 46: 1-5.

"Three-agent peer Evaluation," *Economics Letters* (2009) 105: 312-314.

"Marriage Matching and Gender Satisfaction," *Social Choice and Welfare* (2009) 32: 15- 27.

"Binary Relations: Finite Characterizations and Computational Complexity," *Theory and Decision* (2008) 65: 27-44.

"Spatial Voting with Endogenous Timing," (with S. Huck and W. Mueller) *Journal of Institutional and Theoretical Economics* (2006) 162: 557-570.

"Continuously Representable Paretian Quasi-Orders," *Theory and Decision* (2006) 60: 1-16.

"Characterizing Paretian Preferences," *Social Choice and Welfare* (2005) 25: 179-186.

"Continuous Lexicographic Preferences," *Journal of Mathematical Economics* (2005) 41: 812-825.

"On the Profitability of Collusion in Location Games," (with S. Huck and W. Mueller) *Journal of Urban Economics* (2003) 54: 499-510.

"An Easy Proof that a Square Lattice is an Equilibrium for Spatial Competition in the Plane," *Journal of Urban Economics* (2002) 51: 46-53.

"Using Elections to Represent Preferences," *Social Choice and Welfare* (2001) 18: 823-831.

"Lexicographic Orders and Preference Representation," *Journal of Mathematical Economics* (2000) 34: 255-267.

"Order Isomorphisms for Preferences with Intransitive Indifference," *Journal of Mathematical Economics* (1998) 30: 421-431.

"A Pure Strategy Nash Equilibrium for a Three-Firm Location Game on a Two Dimensional Set," *Location Science* (1997) 4: 247-250.

"Continuous Strategy Games as Location Games," *Journal of Economic Theory* (1995) 66: 165-177.

"Geometric Versions of Finite Games: Prisoner.s Dilemma, Entry Deterrence and a Cyclical Majority Paradox," *International Journal of Game Theory* (1995) 24: 65-177.

"Computable Strategies for Repeated Prisoner's Dilemma," *Games and Economic Behavior* (1994) 7: 381-389.

"Recovering Homothetic Preferences," *Economics Letters* (1993) 82: 41-45.

"A Tight Upper Bound on the Money Metric Utility Function," *American Economic Review* (1992) 82: 660-663.

"Generalizing Location Games to a Graph," *Journal of Industrial Economics* (1991) 39: 683-688.

### Research on Electricity Markets

Senior Personnel, NSF Grant No. ECS-0323685 "Robustness, Efficiency and Security of Electric Power Grids in a Market Environment" (with P. Luh (PI) and D. Pepyne) 9/2003-8/2007. $470, 000 paper: "Can a Newly Proposed Mechanism for Allocating Contracts in U.S. Electricity Wholesale Markets Lead to Lower Prices?" 2004.

*Curriculum vitae* (PDF)