## Research

### Research Interests

Microeconomic Theory, Mathematical Economics, Mechanism Design.

### Working Papers

"Feature-based Preference Representation and Feature Linkage" (2024).

"Lexicographic Preference Representation: Intrinsic Length of Linear Orders on Infinite Sets with the Negation of the Continuum Hypothesis" (2023).

"How Rational Is Preference-Rationalized Choice?" (2018).

"Spatial Competition on a Torus" (2017).

"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

"Lexicographic Preference Representation: Intrinsic Length of Linear Orders on Infinite Sets," *Journal of Mathematical Economics* (2023) 105: 1–5.

"The Lexicographic Complexity of Asymmetric Binary Relations," *Mathematical Social Sciences* (2022) 117: 6–12.

"Von Neumann-Morgenstern stable set rationalization of choice functions," *Theory and Decision*, (2020) 89: 369-381.

"Continuous Utility Representation of Fuzzy Preferences" (2020) in G. Bosi, M. J. CampiĆ³n, J. C. Candeal and E. Indurain *Mathematical Topics on Representations of Ordered Structures and Utility Theory: Essays in Honor of Professor Ghanshyam B. Mehta* Springer Nature Switzerland AG, 301-309.

"A Marriage Matching Menagerie," (with James W. Boudreau). *Operations Research Letters*, (2017) 45: 68-71.

"Elections Generate All Binary Relations on Infinite Sets," *Mathematical Social Sciences* (2016) 84: 105-108.

"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*, (2015) 79: 615-625.

"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)