{"id":28,"date":"2019-04-26T13:12:32","date_gmt":"2019-04-26T17:12:32","guid":{"rendered":"http:\/\/sites.nd.edu\/kprath\/?page_id=28"},"modified":"2024-09-05T15:34:42","modified_gmt":"2024-09-05T19:34:42","slug":"research","status":"publish","type":"page","link":"https:\/\/sites.nd.edu\/kprath\/research\/","title":{"rendered":"Research"},"content":{"rendered":"\n

Journal Publications<\/strong><\/h2>\n\n\n\n
<\/div><\/div>\n\n\n\n

“Weak Convergence of Measures and a Limit Theorem for Correspondences
without Closed Graphs,” Communications in Optimization Theory<\/em>. (forthcoming<\/a>).<\/p>\n\n\n\n

\u201cThe Nature of Equilibria under Noncollusive Product Design and Collusive Pricing,\u201d (with: Gongyun Zhao), International Game Theory Review,  <\/em>24, <\/em>Article 2150013, <\/em>2022.  (An earlier version<\/a>.)<\/p>\n\n\n\n

\u201cOn the Insufficiency of Some Conditions for Minimal Product Differentiation<\/a>,\u201d (with: Gongyun Zhao), Economic Theory Bulletin, <\/em>9, 53-65, <\/em>2021.<\/p>\n\n\n\n

\u201cModeling Large Societies: Why Countable Additivity Is Necessary<\/a>,\u201d (with: M. Ali Khan, Lei Qiao and Yeneng Sun),\u00a0Journal of Economic Theory,\u00a0<\/em>189, Article 105102, 2020.<\/p>\n\n\n\n

\u201cOn the Equivalence of Large Individualized and Distributionalized Games<\/a>,\u201d (with: M. Ali Khan, Haomiao Yu and Yongchao Zhang), Theoretical Economics<\/em>, 12, 533-554, 2017.<\/p>\n\n\n\n

\u201cStrategic Uncertainty and the Ex Post Nash Property in Large Games<\/a>,\u201d (with: M. Ali Khan, Yeneng Sun and Haomiao Yu), Theoretical Economics<\/em>, 10, 103-129, 2015.<\/p>\n\n\n\n

\u201cT<\/a>he Shapley-Folkman Theorem and the Range of a Bounded Measure: An Elementary and Unified Treatment<\/a>,\u201d (with: M. Ali Khan), Positivity<\/em>, 17, 381-394, 2013.<\/p>\n\n\n\n

\u201cLarge Games with a Bio-Social Typology<\/a>,\u201d (with: M. Ali Khan, Yeneng Sun and Haomiao Yu), Journal of Economic Theory<\/em>, 148, 1122-1139, 2013.<\/p>\n\n\n\n

\u201cLarge Distributional Games with Traits<\/a>,\u201d (with: M. Ali Khan, Haomiao Yu and Yongchao Zhang), Economics Letters<\/em>, 118, 502-505, 2013.<\/p>\n\n\n\n

\u201cOn Games with Incomplete Information and the Dvoretsky-Wald-Wolfowitz Theorem with Countable Partitions<\/a>,\u201d (with: M. Ali Khan), Journal of Mathematical Economics<\/em>, 45, 830-837, 2009.<\/p>\n\n\n\n

\u201cThe Dvoretzky-Wald-Wolfowitz Theorem and Purification in Atomless Finite-action Games<\/a>,\u201d (with: M. Ali Khan and Yeneng Sun), International Journal of Game Theory<\/em>, 34, 91-104, 2006.<\/p>\n\n\n\n

\u201cPrice Changes and Some Underlying Aspects of Measurement of Poverty,\u201d (with: Manoj K. Panda), Journal of Quantitative Economics<\/em>, Series 2, 2, 25-43, 2004.<\/p>\n\n\n\n

\u201cNonminimal Product Differentiation as a Bargaining Outcome<\/a>,\u201d (with: Gongyun Zhao), Games and Economic Behavior<\/em>, 42, 267-280, 2003.<\/p>\n\n\n\n

\u201cTwo Stage Equilibrium and Product Choice with Elastic Demand<\/a>,\u201d (with: Gongyun Zhao), International Journal of Industrial Organization<\/em>, 19, 1441-1455, 2001.<\/p>\n\n\n\n

\u201cOn a Private Information Game without Pure Strategy Equilibria<\/a>,\u201d (with: M. Ali Khan and Yeneng Sun), Journal of Mathematical Economics<\/em>, 31, 341-359, 1999.<\/p>\n\n\n\n

\u201cStationary and Nonstationary Strategies in Hotelling\u2019s Model of Spatial Competition with Repeated Pricing Decisions<\/a>,\u201d International Journal of Game Theory<\/em>, 27, 525-537, 1998.<\/p>\n\n\n\n

\u201cPerfect and Proper Equilibria of Large Games<\/a>,\u201d Games and Economic Behavior<\/em>, 22, 331-342, 1998.<\/p>\n\n\n\n

\u201cOn the Existence of Pure Strategy Equilibria in Games with a Continuum of Players<\/a>,\u201d (with: M. Ali Khan and Yeneng Sun), Journal of Economic Theory<\/em>, 76, 13-46, 1997.<\/p>\n\n\n\n

\u201cExistence and Upper Hemicontinuity of Equilibrium Distributions of Anonymous Games with Discontinuous Payoffs<\/a>,<\/a>\u201d Journal of Mathematical Economics<\/em>, 26, 305-324, 1996.<\/p>\n\n\n\n

\u201cOn the Representation of Sets in Finite Measure Spaces<\/a>,\u201d Journal of Mathematical Analysis and Applications<\/em>, 200, 506-510, 1996.<\/p>\n\n\n\n

\u201cThe Nonconvergence of a Class of Measurable Functions<\/a>,\u201d Real Analysis Exchange<\/em>, 21, 304-307, 1995.<\/p>\n\n\n\n

\u201cThe Nonexistence of Symmetric Equilibria in Anonymous Games with Compact Action Spaces<\/a>,\u201d (with: Yeneng Sun and Shinji Yamashige), Journal of Mathematical Economics<\/em>, 24, 331-346, 1995.<\/p>\n\n\n\n

\u201cRepresentation of Finite Action Large Games<\/a>,\u201d International Journal of Game Theory<\/em>, 24, 23-35, 1995.<\/p>\n\n\n\n

\u201cSome Refinements of Nash Equilibria of Large Games<\/a>,\u201d Games and Economic Behavior<\/em>, 7, 92-103, 1994.<\/p>\n\n\n\n

\u201cA Direct Proof of the Existence of Pure Strategy Nash Equilibria in Games with a Continuum of Players<\/a>,\u201d Economic Theory<\/em>, 2, 427-433, 1992.<\/p>\n\n\n\n

\u201cOn Non-linear Extensions of the Perron-Frobenius Theorem<\/a>,\u201d Journal of Mathematical Economics<\/em>, 15, 59-62, 1986.<\/p>\n\n\n\n

Other Publication<\/strong><\/h2>\n\n\n\n

\u201cPure-Strategy Nash Equilibrium Points in Large Non-Anonymous Games,\u201d (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. <\/p>\n\n\n\n

Conference Presentations<\/strong> <\/h2>\n\n\n\n

          2023-April-Midwest-Knoxville<\/a><\/p>\n\n\n\n

          2019-June-SAET-Ischia<\/a><\/p>\n\n\n\n

          2018-June-SAET-Taipei<\/a><\/p>\n\n\n\n

          2018-June-Workshop-NUS-Singapore<\/a><\/p>\n\n\n\n

          2018-April-Hopkins-Rutgers<\/a><\/p>\n\n\n\n

          2017-June-CMES-Wuhan<\/a><\/p>\n\n\n\n

          2017-June-AMES-HongKong<\/a><\/p>\n\n\n\n

          2015-August-ESWC-Montreal<\/a><\/p>\n\n\n\n

          2015-July-SAET-Cambridge<\/a><\/p>\n\n\n\n

          2014-May-Midwest-IUPUI<\/a><\/p>\n\n\n\n

          2013-Aug-AMES-Singapore<\/a><\/p>\n\n\n\n

          2013-July-SAET-Paris<\/a><\/p>\n\n\n\n

          2013-May-Mathecon-Conference-Hopkins<\/a><\/p>\n\n\n\n

          2013-April-Midwest-MSU<\/a><\/p>\n\n\n\n

          2012-July-SAET-Brisbane<\/a><\/p>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Journal Publications “Weak Convergence of Measures and a Limit Theorem for Correspondences without Closed Graphs,” Communications in Optimization Theory. (forthcoming). \u201cThe Nature of Equilibria under Noncollusive Product Design and Collusive Pricing,\u201d (with: Gongyun Zhao), International Game Theory Review,  24, Article 2150013, 2022.  (An earlier version.) \u201cOn the Insufficiency of Some Conditions for Minimal Product Differentiation,\u201d (with: Gongyun Zhao), Economic […]<\/p>\n","protected":false},"author":3424,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-28","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.nd.edu\/kprath\/wp-json\/wp\/v2\/pages\/28","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.nd.edu\/kprath\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.nd.edu\/kprath\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/kprath\/wp-json\/wp\/v2\/users\/3424"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/kprath\/wp-json\/wp\/v2\/comments?post=28"}],"version-history":[{"count":316,"href":"https:\/\/sites.nd.edu\/kprath\/wp-json\/wp\/v2\/pages\/28\/revisions"}],"predecessor-version":[{"id":655,"href":"https:\/\/sites.nd.edu\/kprath\/wp-json\/wp\/v2\/pages\/28\/revisions\/655"}],"wp:attachment":[{"href":"https:\/\/sites.nd.edu\/kprath\/wp-json\/wp\/v2\/media?parent=28"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}