Optimal Control Synthesis in a Ramsey-Type Model

被引:0
|
作者
Trusov, N. V. [1 ,2 ]
Shananin, A. A. [1 ,2 ,3 ]
机构
[1] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Moscow 119333, Russia
[2] Lomonosov Moscow State Univ, Moscow Ctr Fundamental & Appl Math, Moscow 119991, Russia
[3] Natl Res Univ, Moscow Inst Phys & Technol, Dolgoprudnyi 141701, Moscow, Russia
基金
俄罗斯科学基金会;
关键词
Ramsey-type model; imperfect consumer loan market; optimal control synthesis; maximum principle; mathematical modeling;
D O I
10.1134/S0965542524701112
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A mathematical description of the economic behavior of a representative household in an imperfect market of consumer loans and deposits is studied. The model is formalized as a finite-horizon optimal control problem. A classification of the behavior of social layers depending on market condition parameters is obtained. An infinite-horizon optimal control synthesis is constructed.
引用
收藏
页码:1939 / 1973
页数:35
相关论文
共 50 条
  • [1] ON A RAMSEY-TYPE PROBLEM
    CHUNG, FRK
    JOURNAL OF GRAPH THEORY, 1983, 7 (01) : 79 - 83
  • [2] RAMSEY-TYPE THEOREMS
    ERDOS, P
    HAJNAL, A
    DISCRETE APPLIED MATHEMATICS, 1989, 25 (1-2) : 37 - 52
  • [3] Resolving singularities in a Ramsey-type growth model
    Dumont, Y
    Goeleven, D
    Poutineau, JC
    Rochdi, M
    JOURNAL OF GLOBAL OPTIMIZATION, 2000, 17 (1-4) : 77 - 95
  • [4] Resolving Singularities in a Ramsey-type Growth Model
    Y. Dumont
    D. Goeleven
    J.-C. Poutineau
    M. Rochdi
    Journal of Global Optimization, 2000, 17 : 77 - 95
  • [5] On metric Ramsey-type phenomena
    Bartal, Y
    Linial, N
    Mendel, M
    Naor, A
    ANNALS OF MATHEMATICS, 2005, 162 (02) : 643 - 709
  • [6] A Ramsey-type topological theorem
    Gerlits, J
    Szentmiklóssy, Z
    TOPOLOGY AND ITS APPLICATIONS, 2002, 125 (02) : 343 - 355
  • [7] A Ramsey-Type Equilibrium Model with Spatially Dispersed Agents
    Frerick, Leonhard
    Mueller-Fuerstenberger, Georg
    Schmidt, Martin
    Spaeth, Max
    NETWORKS & SPATIAL ECONOMICS, 2024, 24 (04): : 869 - 896
  • [8] On metric Ramsey-type dichotomies
    Bartal, Y
    Linial, N
    Mendel, M
    Naor, A
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2005, 71 : 289 - 303
  • [9] A Ramsey-type bound for rectangles
    Toth, G
    JOURNAL OF GRAPH THEORY, 1996, 23 (01) : 53 - 56
  • [10] A Ramsey-type result for the hypercube
    Alon, Noga
    Radoicic, Rados
    Sudakov, Benny
    Vondrak, Jan
    JOURNAL OF GRAPH THEORY, 2006, 53 (03) : 196 - 208