Rearrangement inequalities in non-convex insurance models

被引:41
|
作者
Carlier, G [1 ]
Dana, RA [1 ]
机构
[1] Univ Paris 09, CEREMADE, UMR CNRS 7534, F-75775 Paris, France
关键词
rearrangement inequalities; supermodularity; Spence-Mirrlees condition; risk sharing problems;
D O I
10.1016/j.jmateco.2004.12.004
中图分类号
F [经济];
学科分类号
02 ;
摘要
This paper provides an existence theorem for a class of infinite-dimensional non-convex problems arising in symmetric and asymmetric information models. Sufficient conditions for monotonicity of solutions are also given. The proofs are very simple and rely on rearrangement techniques and the concept of supermodularity. Several applications to insurance are given. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:483 / 503
页数:21
相关论文
共 50 条
  • [41] Algebraic signatures of convex and non-convex codes
    Curto, Carina
    Gross, Elizabeth
    Jeffries, Jack
    Morrison, Katherine
    Rosen, Zvi
    Shiu, Anne
    Youngs, Nora
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2019, 223 (09) : 3919 - 3940
  • [42] NON-CONVEX MINIMIZATION PROBLEMS
    EKELAND, I
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 1 (03) : 443 - 474
  • [43] A Non-Convex Zones Identification Method for Non-Linear Non-Convex Constraints Applied to LP
    Huerta Balcazar, Emanuel
    Cerda, Jaime
    Ramirez, Salvador
    2019 IEEE INTERNATIONAL AUTUMN MEETING ON POWER, ELECTRONICS AND COMPUTING (ROPEC 2019), 2019,
  • [44] Evolution by Non-Convex Functionals
    Elbau, Peter
    Grasmair, Markus
    Lenzen, Frank
    Scherzer, Otmar
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2010, 31 (04) : 489 - 517
  • [45] Non-convex scenario optimization
    Garatti, Simone
    Campi, Marco C.
    MATHEMATICAL PROGRAMMING, 2025, 209 (1-2) : 557 - 608
  • [46] AN IRREDUCIBLE NON-CONVEX REGION
    OLLERENSHAW, K
    PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1953, 49 (02): : 194 - 200
  • [47] Non-convex sparse regularisation
    Grasmair, Markus
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 365 (01) : 19 - 28
  • [48] Non-Convex Distributed Optimization
    Tatarenko, Tatiana
    Touri, Behrouz
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (08) : 3744 - 3757
  • [49] Non-Convex Optimization: A Review
    Trehan, Dhruv
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON INTELLIGENT COMPUTING AND CONTROL SYSTEMS (ICICCS 2020), 2020, : 418 - 423
  • [50] Non-convex Representations of Graphs
    Di Battista, Giuseppe
    Frati, Fabrizio
    Patrignani, Maurizio
    GRAPH DRAWING, 2009, 5417 : 390 - 395