Research

Journal Publications

“The Nature of Equilibria under Noncollusive Product Design and Collusive Pricing,” (with: Gongyun Zhao), International Game Theory Review, , 24, Article 2150013, 2022.  (An earlier version.)

On the Insufficiency of Some Conditions for Minimal Product Differentiation,” (with: Gongyun Zhao), Economic Theory Bulletin, 9, 53-65, 2021.

Modeling Large Societies: Why Countable Additivity Is Necessary,” (with: M. Ali Khan, Lei Qiao and Yeneng Sun), Journal of Economic Theory, 189, Article 105102, 2020.

On the Equivalence of Large Individualized and Distributionalized Games,” (with: M. Ali Khan, Haomiao Yu and Yongchao Zhang), Theoretical Economics, 12, 533-554, 2017.

Strategic Uncertainty and the Ex Post Nash Property in Large Games,” (with: M. Ali Khan, Yeneng Sun and Haomiao Yu), Theoretical Economics, 10, 103-129, 2015.

The Shapley-Folkman Theorem and the Range of a Bounded Measure: An Elementary and Unified Treatment,” (with: M. Ali Khan), Positivity, 17, 381-394, 2013.

Large Games with a Bio-Social Typology,” (with: M. Ali Khan, Yeneng Sun and Haomiao Yu), Journal of Economic Theory, 148, 1122-1139, 2013.

Large Distributional Games with Traits,” (with: M. Ali Khan, Haomiao Yu and Yongchao Zhang), Economics Letters, 118, 502-505, 2013.

On Games with Incomplete Information and the Dvoretsky-Wald-Wolfowitz Theorem with Countable Partitions,” (with: M. Ali Khan), Journal of Mathematical Economics, 45, 830-837, 2009.

The Dvoretzky-Wald-Wolfowitz Theorem and Purification in Atomless Finite-action Games,” (with: M. Ali Khan and Yeneng Sun), International Journal of Game Theory, 34, 91-104, 2006.

“Price Changes and Some Underlying Aspects of Measurement of Poverty,” (with: Manoj K. Panda), Journal of Quantitative Economics, Series 2, 2, 25-43, 2004.

Nonminimal Product Differentiation as a Bargaining Outcome,” (with: Gongyun Zhao), Games and Economic Behavior, 42, 267-280, 2003.

Two Stage Equilibrium and Product Choice with Elastic Demand,” (with: Gongyun Zhao), International Journal of Industrial Organization, 19, 1441-1455, 2001.

On a Private Information Game without Pure Strategy Equilibria,” (with: M. Ali Khan and Yeneng Sun), Journal of Mathematical Economics, 31, 341-359, 1999.

Stationary and Nonstationary Strategies in Hotelling’s Model of Spatial Competition with Repeated Pricing Decisions,” International Journal of Game Theory, 27, 525-537, 1998.

Perfect and Proper Equilibria of Large Games,” Games and Economic Behavior, 22, 331-342, 1998.

On the Existence of Pure Strategy Equilibria in Games with a Continuum of Players,” (with: M. Ali Khan and Yeneng Sun), Journal of Economic Theory, 76, 13-46, 1997.

Existence and Upper Hemicontinuity of Equilibrium Distributions of Anonymous Games with Discontinuous Payoffs,Journal of Mathematical Economics, 26, 305-324, 1996.

On the Representation of Sets in Finite Measure Spaces,” Journal of Mathematical Analysis and Applications, 200, 506-510, 1996.

The Nonconvergence of a Class of Measurable Functions,” Real Analysis Exchange, 21, 304-307, 1995.

The Nonexistence of Symmetric Equilibria in Anonymous Games with Compact Action Spaces,” (with: Yeneng Sun and Shinji Yamashige), Journal of Mathematical Economics, 24, 331-346, 1995.

Representation of Finite Action Large Games,” International Journal of Game Theory, 24, 23-35, 1995.

Some Refinements of Nash Equilibria of Large Games,” Games and Economic Behavior, 7, 92-103, 1994.

A Direct Proof of the Existence of Pure Strategy Nash Equilibria in Games with a Continuum of Players,” Economic Theory, 2, 427-433, 1992.

On Non-linear Extensions of the Perron-Frobenius Theorem,” Journal of Mathematical Economics, 15, 59-62, 1986.

Other Publication

“Pure-Strategy Nash Equilibrium Points in Large Non-Anonymous Games,” (with: M. Ali Khan and Yeneng Sun) in T. Parthasarathy et al. (ed:), Game Theoretical Applications to Economics and Operations Research, Kluwer Academic Publishers, pp. 113-127, 1997. 

Unpublished Manuscripts

        “Weak Convergence of Measures and a Limit Theorem for Correspondences without Closed Graphs,”  Mimeo, 2023. 

       “The Perron-Frobenius Theorem under Weak Indecomposability and Weak Monotonicity,” Mimeo,             2023. 

       “Product Differentiation with Elastic Demand and Unit Specific Transportation Cost,” (with: Giorgi               Piriashvili), Mimeo, 2022. 

Conference Presentations 

          2023-April-Midwest-Knoxville

          2019-June-SAET-Ischia

          2018-June-SAET-Taipei

          2018-June-Workshop-NUS-Singapore

          2018-April-Hopkins-Rutgers

          2017-June-CMES-Wuhan

          2017-June-AMES-HongKong

          2015-August-ESWC-Montreal

          2015-July-SAET-Cambridge

          2014-May-Midwest-IUPUI

          2013-Aug-AMES-Singapore

          2013-July-SAET-Paris

          2013-May-Mathecon-Conference-Hopkins

          2013-April-Midwest-MSU

          2012-July-SAET-Brisbane