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含没有开截口的对应的抽象经济的平衡 被引量:1

EQUILIBRIA OF Abstract ECONOMIES WITH CORRESPONDENCES WITHOUT OPEN SECTIONS
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摘要 对具有无限多经纪人,具有无限维非紧策略空间和具有无开图或开下截口性质的选择和约束对应的非紧抽象经济,证明了某些新的平衡存在性定理。作为应用,由放松紧性和泛函的连续性,证明了某些拟变分不等式解的存在性定理。这些定理改进和推广了经济文献中的某些最近结果。 For the noncompact abstract economy with infinitely many agents,with infinitely dimensional noncompact strategy spaces and with preference and constraint correspondences without open graphs or open lower sections,some new equilibrium existence theorems are proved.As applications,some quasivariational inequalities are also obtained by relaxing the compactness and the continuity of functionals.These theorems impiove and generalize some recent results in economic literature.
作者 丁协平
出处 《四川师范大学学报(自然科学版)》 CAS CSCD 1995年第6期5-11,共7页 Journal of Sichuan Normal University(Natural Science)
基金 国家自然科学基金
关键词 抽象经济 平衡 拟变分不等式 Abstract economy,equilibrium,quasivariational inequality
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同被引文献21

  • 1丁协平.抽象经济的平衡和拟变分不等式[J].四川师范大学学报(自然科学版),1994,17(4):29-34. 被引量:3
  • 2吴定平.随机变分不等式和随机相补问题[J].四川师范大学学报(自然科学版),2005,28(5):535-537. 被引量:9
  • 3HARKER P T. Generalized Nash games and quasi - variational inequalities[ J]. Eur J Oper Res, 1991,54( 1 ) ;81 -94.
  • 4KUBOTA K,FUKUSHIMA M. Gap function approach to the generalized Nash equilibrium problem[ J]. J Optim Theory App,2010,144(3):511 -531.
  • 5PANGJS, FUKUSHIMA M. Quasi - variational inequalities, generalized Nash equilibria, and multileader - follower games[ J].Comput Manag Sci,2005,2(1) :21 -56.
  • 6CHEN X J,LIN G H, CVaR - based formulation and approximation method for Stochastic variational inequalities[ J]. NumericalAlgebra,Control and Optimization,2011,1(1) :35 -48.
  • 7LIN G H, FUKUSHIMA M. Stochastic equilibrium problems and stochastic mathematical programs with equilibrium constraints:asurvey[ J]. Pacific J Optimization,2010,6(3) :455 -482.
  • 8LUO M J, LIN G H. Expected residual minimization method for stochastic variational inequality problems[ J]. J Optim TheoryApp,2009,140(1) :103 -116.
  • 9MA H Q, HUANG N J. CVaR - based formulation and approximation method for a class of stochastic variational inequality prob-lemsf J] .Math Inequal Appl,2013,16(4) :981 -998.
  • 10MA H Q, HUANG N J. Neural network smoothing approximation method for stochastic variational inequality problems with mixedCVaR risk measure[ J], J Ind Manag Optim,2015,11(2) :645 -660.

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