{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:41:56Z","timestamp":1777704116946,"version":"3.51.4"},"reference-count":37,"publisher":"SAGE Publications","issue":"5","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2017,10,27]]},"DOI":"10.3233\/jifs-169324","type":"journal-article","created":{"date-parts":[[2017,10,27]],"date-time":"2017-10-27T12:13:55Z","timestamp":1509106435000},"page":"2749-2762","source":"Crossref","is-referenced-by-count":7,"title":["Distributionally robust games with an application to supply chain"],"prefix":"10.1177","volume":"33","author":[{"given":"Shaojian","family":"Qu","sequence":"first","affiliation":[{"name":"Business School, University of Shanghai for Science and Technology, Shanghai, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dehua","family":"Meng","sequence":"additional","affiliation":[{"name":"Business School, University of Shanghai for Science and Technology, Shanghai, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yongyi","family":"Zhou","sequence":"additional","affiliation":[{"name":"Business School, University of Shanghai for Science and Technology, Shanghai, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yeming","family":"Dai","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Qingdao University, Qingdao, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-169324_ref1","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1007\/s10107-005-0686-0","article-title":"Robust game theory","volume":"107","author":"Aghassi","year":"2006","journal-title":"Math Program, Ser B"},{"key":"10.3233\/JIFS-169324_ref2","doi-asserted-by":"crossref","first-page":"769","DOI":"10.1287\/moor.23.4.769","article-title":"Robust convex optimization","volume":"23","author":"Ben Tal","year":"1998","journal-title":"Math Oper Res"},{"key":"10.3233\/JIFS-169324_ref3","first-page":"155","volume-title":"Contributions to the theory of games","author":"Bohnenblust","year":"1950"},{"key":"10.3233\/JIFS-169324_ref4","doi-asserted-by":"crossref","unstructured":"Boyd S. and Vandenberghe L. , Convex Optimization. Cambridge, U.K.: Cambridge Univ. Press, 2004.","DOI":"10.1017\/CBO9780511804441"},{"issue":"5","key":"10.3233\/JIFS-169324_ref5","doi-asserted-by":"crossref","first-page":"658","DOI":"10.1287\/opre.49.5.658.10611","article-title":"Stock wars: Inventory competition in a twoechelon supply chain","volume":"49","author":"Cachon","year":"2001","journal-title":"Oper Res"},{"issue":"2","key":"10.3233\/JIFS-169324_ref6","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1016\/j.tre.2005.07.008","article-title":"Coordination in a single-vendor multi-buyer supply chain by synchronizing delivery and production cycles","volume":"43","author":"Chan","year":"2007","journal-title":"Transport Res E-Log"},{"issue":"2","key":"10.3233\/JIFS-169324_ref7","doi-asserted-by":"crossref","first-page":"178","DOI":"10.1016\/j.indmarman.2005.03.007","article-title":"Channel coordination and transaction cost: A game-theoretic analysis","volume":"35","author":"Chen","year":"2006","journal-title":"Ind Market Manag"},{"issue":"2","key":"10.3233\/JIFS-169324_ref8","doi-asserted-by":"crossref","first-page":"344","DOI":"10.1287\/opre.1070.0457","article-title":"A linear-decision based approximation approach to stochastic programming","volume":"56","author":"Chen","year":"2008","journal-title":"Oper Res"},{"issue":"1","key":"10.3233\/JIFS-169324_ref9","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ijpe.2004.06.056","article-title":"Pricing in revenue management for multiple firms competing for customers","volume":"98","author":"Dai","year":"2005","journal-title":"Int J Prod Econ"},{"issue":"1","key":"10.3233\/JIFS-169324_ref10","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1287\/opre.1080.0685","article-title":"Percentile optimization for Markove decision processes with parameter uncertainty","volume":"58","author":"Delage","journal-title":"Oper Res"},{"key":"10.3233\/JIFS-169324_ref11","unstructured":"Delage E. and Ye Y. , Distributional robust optimization under moment uncertainty with applications to data-driven problems, Oper Res (2010). 10.1287\/opre.1090.0741"},{"key":"10.3233\/JIFS-169324_ref12","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1006\/jeth.1994.1071","article-title":"Nash equilibrium under Knightian uncertainty: Breaking down backward induction","volume":"64","author":"Wow","year":"1994","journal-title":"J Econ Theory"},{"issue":"8","key":"10.3233\/JIFS-169324_ref13","doi-asserted-by":"crossref","first-page":"981","DOI":"10.1287\/mnsc.33.8.981","article-title":"Marketing-production decisions in an industrial channel of distribution","volume":"33","author":"Eliashberg","year":"1987","journal-title":"Manage Sci"},{"issue":"2","key":"10.3233\/JIFS-169324_ref14","doi-asserted-by":"crossref","first-page":"442","DOI":"10.1016\/j.ejor.2008.02.026","article-title":"A game theory approach in seller-buyer supply chain","volume":"195","author":"Esmaeili","year":"2009","journal-title":"Eur J Oper Res"},{"key":"10.3233\/JIFS-169324_ref15","first-page":"89","article-title":"Equilibrium in a stochastic n-person game","volume":"28","author":"Fink","year":"1964","journal-title":"Journal of Science in Hiroshima University, Series A-I"},{"key":"10.3233\/JIFS-169324_ref16","doi-asserted-by":"crossref","first-page":"581","DOI":"10.1007\/s10107-006-0028-x","article-title":"Nonlinear semidef-inite programming: Sensitivity, convergence, and an application in passive reduced-order modeling","volume":"109","author":"Freund","year":"2007","journal-title":"Math Program, Ser B"},{"issue":"4","key":"10.3233\/JIFS-169324_ref17","doi-asserted-by":"crossref","first-page":"902","DOI":"10.1287\/opre.1090.0795","article-title":"Distributionally robust optimization and its tractable approximation","volume":"58","author":"Goh","year":"2010","journal-title":"Oper Res"},{"issue":"4","key":"10.3233\/JIFS-169324_ref18","doi-asserted-by":"crossref","first-page":"973","DOI":"10.1287\/opre.1110.0944","article-title":"Robust optimization made easy with ROME","volume":"59","author":"Goh","year":"2011","journal-title":"Oper Res"},{"key":"10.3233\/JIFS-169324_ref19","first-page":"95","volume-title":"Lecture Notes in Control and Information Sciences","author":"Grant","year":"2008"},{"key":"10.3233\/JIFS-169324_ref21","first-page":"486","article-title":"Games with incomplete information played by \u2019Bayesian\u2019 players\u2019","volume":"14","author":"Harsanyi","year":"1967","journal-title":"Parts I-III Management Sci"},{"key":"10.3233\/JIFS-169324_ref22","first-page":"185","article-title":"On the sharpness of Chebyshev-type inequalities","volume":"12","author":"Isii","year":"1963","journal-title":"Annals of the Institute of Statistical Mathematics"},{"key":"10.3233\/JIFS-169324_ref23","doi-asserted-by":"crossref","first-page":"457","DOI":"10.1215\/S0012-7094-41-00838-4","article-title":"A generalization of Brouwer\u2019s fixed point theorem","volume":"8","author":"Kakutani","year":"1941","journal-title":"Duke Mathematical Journal"},{"key":"10.3233\/JIFS-169324_ref24","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1287\/opre.1110.0931","article-title":"Discounted robust stochastic games and an application to queueing control","volume":"59","author":"Kardes","year":"2011","journal-title":"Oper Res"},{"issue":"1","key":"10.3233\/JIFS-169324_ref26","doi-asserted-by":"crossref","first-page":"214","DOI":"10.1287\/opre.1120.1132","article-title":"Multiple objectives satisficing under uncertainty","volume":"61","author":"Lam","year":"2013","journal-title":"Oper Res"},{"issue":"1","key":"10.3233\/JIFS-169324_ref27","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10107-008-0261-6","article-title":"Primal-dual first-order methods with O(1\/\u2208) iteration-complexity for cone programming","volume":"126","author":"Lan","year":"2011","journal-title":"Math Program"},{"issue":"2","key":"10.3233\/JIFS-169324_ref28","doi-asserted-by":"crossref","first-page":"308","DOI":"10.1287\/mnsc.1060.0614","article-title":"Bias and variance approximation in value function estimates","volume":"53","author":"Mannor","year":"2007","journal-title":"Manage Sci"},{"issue":"2","key":"10.3233\/JIFS-169324_ref29","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1006\/game.1999.0739","article-title":"Ambiguous games","volume":"31","author":"Marinacci","year":"2000","journal-title":"Games and Economic Behavior"},{"issue":"4","key":"10.3233\/JIFS-169324_ref30","doi-asserted-by":"crossref","first-page":"969","DOI":"10.1137\/050622328","article-title":"Convex approximations of Chance Constrained problems","volume":"17","author":"Nemirovski","year":"2006","journal-title":"SIAM J Optimiz"},{"issue":"1","key":"10.3233\/JIFS-169324_ref31","doi-asserted-by":"crossref","first-page":"e0147341","DOI":"10.1371\/journal.pone.0147341","article-title":"The worst-case weighted multi-objective game with an application to supply chain competitions","volume":"11","author":"Qu","year":"2016","journal-title":"PLoS One"},{"key":"10.3233\/JIFS-169324_ref32","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1016\/j.ejor.2015.06.016","article-title":"A new algorithm for linearly constrained C-convex vector optimization with a supply chain network risk application,247\u010d\u017e","author":"Qu","year":"2015","journal-title":"Eur J Oper Res"},{"key":"10.3233\/JIFS-169324_ref33","volume-title":"Fixed point theorems","author":"Smart","year":"1974"},{"key":"10.3233\/JIFS-169324_ref34","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1007\/BF02614439","article-title":"First and second order analysis of nonlinear semidefinite programs","volume":"77","author":"Shapiro","year":"1997","journal-title":"Math Program"},{"issue":"1","key":"10.3233\/JIFS-169324_ref35","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1007\/s10107-005-0680-6","article-title":"Worst-case distribution analysis of stochastic programs","volume":"107","author":"Shapiro","year":"2006","journal-title":"Math Program"},{"issue":"8","key":"10.3233\/JIFS-169324_ref36","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1016\/j.ijpe.2004.06.025","article-title":"Inventory management in supply chains: A bargaining problem","volume":"93-94","author":"Sucky","year":"2005","journal-title":"Int J Prod Econ"},{"issue":"2","key":"10.3233\/JIFS-169324_ref37","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1016\/j.ejor.2004.08.039","article-title":"A bargaining model with asymmetric information for a single supplier-single buyer problem","volume":"171","author":"Sucky","year":"2006","journal-title":"Eur J Oper Res"},{"key":"10.3233\/JIFS-169324_ref38","doi-asserted-by":"crossref","first-page":"1450023","DOI":"10.1142\/S0217595914500237","article-title":"Decision analysis for supplier in two-echelon supply chain with discrete demand via dynamic game","volume":"31","author":"Xu","year":"2014","journal-title":"Asia Pac J Oper Res"},{"issue":"2","key":"10.3233\/JIFS-169324_ref39","doi-asserted-by":"crossref","first-page":"372","DOI":"10.1016\/S0377-2217(03)00233-9","article-title":"A game-theoretical cooperative mechanism design for a twoechelon decentralized supply chain","volume":"157","author":"Wang","year":"2004","journal-title":"Eur J Oper Res"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/JIFS-169324","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:40:30Z","timestamp":1777455630000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/JIFS-169324"}},"subtitle":[],"editor":[{"given":"Juan L.G.","family":"Guirao","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]},{"given":"Wei","family":"Gao","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2017,10,27]]},"references-count":37,"journal-issue":{"issue":"5"},"URL":"https:\/\/doi.org\/10.3233\/jifs-169324","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,10,27]]}}}