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Volumn 1, Issue 1, 2011, Pages 83-118

A deterministic linear quadratic time-inconsistent optimal control problem

Author keywords

Linear quadratic optimal control problem; Multi person hierarchical differential games; Riccati volterra integral equation system; Time consistent equilibrium strategy; Time inconsistency

Indexed keywords


EID: 84865464613     PISSN: 21568472     EISSN: 21568499     Source Type: Journal    
DOI: 10.3934/mcrf.2011.1.83     Document Type: Article
Times cited : (60)

References (26)
  • 2
    • 0004203368 scopus 로고
    • Optimal Control Theory
    • Springer-Verlag, New York-Heidelberg
    • L. D. Berkovitz, "Optimal Control Theory," Applied Mathematical Sciences, Vol. 12, Springer-Verlag, New York-Heidelberg, 1974.
    • (1974) Applied Mathematical Sciences , vol.12
    • Berkovitz, L.D.1
  • 10
    • 0004088235 scopus 로고
    • First Edition, 1739; Reprint, Oxford Univ. Press, New York
    • D. Hume, "A Treatise of Human Nature," First Edition, 1739; Reprint, Oxford Univ. Press, New York, 1978.
    • (1978) A Treatise of Human Nature
    • Hume, D.1
  • 12
    • 0037276986 scopus 로고    scopus 로고
    • Jr., Consumption and saving decisions with quasi-geometric discounting
    • P. Krusell and A. A. Smith, Jr., Consumption and saving decisions with quasi-geometric discounting, Econometrica, 71 (2003), 366-375.
    • (2003) Econometrica , vol.71 , pp. 366-375
    • Krusell, P.1    Smith, A.A.2
  • 13
    • 0038969032 scopus 로고    scopus 로고
    • Golden eggs and hyperbolic discounting
    • D. Laibson, Golden eggs and hyperbolic discounting, Quarterly J. Econ., 112 (1997), 443-477.
    • (1997) Quarterly J. Econ , vol.112 , pp. 443-477
    • Laibson, D.1
  • 14
    • 84883812930 scopus 로고
    • An essay on the principle of population, (Eds. E. A. Wrigley and D. Souden), 2 and 3, W. Pickering, London
    • A. Malthus, An essay on the principle of population, 1826, "The Works of Thomas Robert Malthus" (Eds. E. A. Wrigley and D. Souden), 2 and 3, W. Pickering, London, 1986.
    • (1826) The Works of Thomas Robert Malthus , pp. 1986
    • Malthus, A.1
  • 15
    • 59349098510 scopus 로고    scopus 로고
    • Non-constant discounting in finite horizon: The free terminal time case
    • J. Marin-Solano and J. Navas, Non-constant discounting in finite horizon: The free terminal time case, J. Economic Dynamics and Control, 33 (2009), 666-675.
    • (2009) J. Economic Dynamics and Control , vol.33 , pp. 666-675
    • Marin-Solano, J.1    Navas, J.2
  • 16
    • 0003736757 scopus 로고
    • 1st ed., 1890; 8th ed., Macmillan, London
    • A. Marshall, "Principles of Economics," 1st ed., 1890; 8th ed., Macmillan, London, 1920.
    • (1920) Principles of Economics
    • Marshall, A.1
  • 17
    • 0002786063 scopus 로고
    • Dynamic games and the time inconsistency of optimal policy in open economics
    • M. Miller and M. Salmon, Dynamic games and the time inconsistency of optimal policy in open economics, The Economic Journal, 95 (1985), 124-137.
    • (1985) The Economic Journal , vol.95 , pp. 124-137
    • Miller, M.1    Salmon, M.2
  • 18
    • 2942526821 scopus 로고    scopus 로고
    • Time-inconsistent preferences in Adam Smith and Davis Hume
    • I. Palacios-Huerta, Time-inconsistent preferences in Adam Smith and Davis Hume, History of Political Economy, 35 (2003), 241-268.
    • (2003) History of Political Economy , vol.35 , pp. 241-268
    • Palacios-Huerta, I.1
  • 20
    • 84959819141 scopus 로고
    • On the existence of a consistent course of action when tastes are changing
    • B. Peleg and M. E. Yaari, On the existence of a consistent course of action when tastes are changing, Review of Economic Studies, 40 (1973), 391-401.
    • (1973) Review of Economic Studies , vol.40 , pp. 391-401
    • Peleg, B.1    Yaari, M.E.2
  • 22
    • 0004110659 scopus 로고
    • First Edition, 1759; Reprint, Oxford Univ. Press
    • A. Smith, "The Theory of Moral Sentiments," First Edition, 1759; Reprint, Oxford Univ. Press, 1976.
    • (1976) The Theory of Moral Sentiments
    • Smith, A.1
  • 23
    • 84963071606 scopus 로고
    • Myopia and inconsistency in dynamic utility maximization
    • R. H. Strotz, Myopia and inconsistency in dynamic utility maximization, Review of Econ. Studies, 23 (1955), 165-180.
    • (1955) Review of Econ. Studies , vol.23 , pp. 165-180
    • Strotz, R.H.1
  • 24
    • 38249041183 scopus 로고
    • Time inconsistency of benevolent government economics
    • L. Tesfatsion, Time inconsistency of benevolent government economics, J. Public Economics, 31 (1986), 25-52.
    • (1986) J. Public Economics , vol.3 , pp. 25-52
    • Tesfatsion, L.1
  • 25
    • 84883792192 scopus 로고    scopus 로고
    • A deterministic time-inconsistent optimal control problem - An essentially cooperative approach
    • o appear
    • [J. Yong, A deterministic time-inconsistent optimal control problem - An essentially cooperative approach, Acta Appl. Math. Sinica, to appear.
    • Acta Appl. Math. Sinica
    • Yong, J.1
  • 26
    • 0345774722 scopus 로고    scopus 로고
    • Stochastic Controls: Hamiltonian Systems and HJB Equations
    • Springer-Verlag, New York
    • J. Yong, and X. Y. Zhou, "Stochastic Controls: Hamiltonian Systems and HJB Equations," Applications of Mathematics (New York), 43, Springer-Verlag, New York, 1999.
    • (1999) Applications of Mathematics (New York) , vol.43
    • Yong, J.1    Zhou, X.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.