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Volumn 2, Issue 3, 2012, Pages 271-329

Time-inconsistent optimal control problems and the equilibrium hjb equation

Author keywords

Equilibrium hamilton jacobi bellman equation; Equilibrium value function; Forward backward stochastic differential equation; Time inconsistent optimal control problem

Indexed keywords


EID: 84883754241     PISSN: 21568472     EISSN: 21568499     Source Type: Journal    
DOI: 10.3934/mcrf.2012.2.271     Document Type: Article
Times cited : (154)

References (37)
  • 1
    • 77954963823 scopus 로고    scopus 로고
    • Dynamic mean-variance asset allocation
    • S. Basak and G. Chabakauri, Dynamic mean-variance asset allocation, Rev. Finan. Stud., 23 (2010), 2970-3016.
    • (2010) Rev. Finan. Stud , vol.2 , pp. 2970-3016
    • Basak, S.1    Chabakauri, G.2
  • 5
    • 33750002528 scopus 로고    scopus 로고
    • The recursive approach to time inconsistency
    • A. Caplin and J. Leahy, The recursive approach to time inconsistency, J. Econ. Theory, 131 (2006), 134-156.
    • (2006) J. Econ. Theory , vol.131 , pp. 134-156
    • Caplin, A.1    Leahy, J.2
  • 6
    • 78650039253 scopus 로고    scopus 로고
    • The golden rule when preferences are time inconsistent
    • I. Ekeland and A. Lazrak, The golden rule when preferences are time inconsistent, Math. Finan. Econ., 4 (2010), 29-55.
    • (2010) Math. Finan. Econ , vol.4 , pp. 29-55
    • Ekeland, I.1    Lazrak, A.2
  • 7
    • 57149095041 scopus 로고    scopus 로고
    • Investment and consumption without commitment
    • I. Ekeland and T. A. Pirvu, Investment and consumption without commitment, Math. Finan. Econ., 2 (2008), 57-86.
    • (2008) Math. Finan. Econ , vol.2 , pp. 57-86
    • Ekeland, I.1    Pirvu, T.A.2
  • 11
    • 84883794399 scopus 로고
    • Review of Economic Studies
    • S. M. Goldman, Consistent plans, Review of Economic Studies, 47 (1980), 533-537.
    • (1980) Consistent Plans , vol.47 , pp. 533-537
    • Goldman, S.M.1
  • 12
    • 33947530848 scopus 로고    scopus 로고
    • Investment under uncertainty and time-inconsistent preferences
    • S. R. Grenadier and N. Wang, Investment under uncertainty and time-inconsistent preferences, J. Finan. Econ., 84 (2007), 2-39.
    • (2007) J. Finan. Econ , vol.84 , pp. 2-39
    • Grenadier, S.R.1    Wang, N.2
  • 13
    • 33749417564 scopus 로고    scopus 로고
    • Time-inconsistent preferences in a general equilibrium model
    • P. J.-J. Herings and K. I. M. Rohde, Time-inconsistent preferences in a general equilibrium model, Econ. Theory, 29 (2006), 591-619.
    • (2006) Econ. Theory , vol.29 , pp. 591-619
    • Herings, P.J.J.1    Rohde, K.I.M.2
  • 15
    • 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
  • 17
    • 0142215470 scopus 로고    scopus 로고
    • Time-consistent policies
    • L. Karp and I. H. Lee, Time-consistent policies, J. Econ. Theory, 112 (2003), 353-364.
    • (2003) J. Econ. Theory , vol.112 , pp. 353-364
    • Karp, L.1    Lee, I.H.2
  • 18
    • 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
  • 19
    • 0344891803 scopus 로고
    • Solving forward-backward stochastic differential equations explicitly-a four-step scheme
    • J. Ma, P. Protter and J. Yong, Solving forward-backward stochastic differential equations explicitly-a four-step scheme, Probab. Theory Related Fields, 98 (1994), 339-359.
    • (1994) Probab. Theory Related Fields , vol.98 , pp. 339-359
    • Ma, J.1    Protter, P.2    Yong, J.3
  • 23
    • 70349464600 scopus 로고    scopus 로고
    • Consumption and portfolio rules for time-inconsistent investors, European
    • J. Marin-Solano and J. Navas, Consumption and portfolio rules for time-inconsistent investors, European J. Operational Research, 201 (2010), 860-872.
    • (2010) J. Operational Research , vol.201 , pp. 860-872
    • Marin-Solano, J.1    Navas, J.2
  • 24
    • 81155139617 scopus 로고    scopus 로고
    • Non-constant discounting and differential games with random time horizon, Automatica
    • J. Marin-Solano and E. V. Shevkoplyas, Non-constant discounting and differential games with random time horizon, Automatica J. IFAC, 47 (2011), 2626-2638.
    • (2011) J. IFAC , vol.47 , pp. 2626-2638
    • Marin-Solano, J.1    Shevkoplyas, E.V.2
  • 25
    • 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
  • 26
    • 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
  • 29
    • 84963066478 scopus 로고
    • Review of Economic Studies
    • R. A. Pollak, Consistent planning, Review of Economic Studies, 35 (1968), 185-199.
    • (1968) Consistent Planning , vol.35 , pp. 185-199
    • Pollak, R.A.1
  • 30
    • 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
  • 32
    • 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.31 , pp. 25-52
    • Tesfatsion, L.1
  • 34
    • 45149113017 scopus 로고    scopus 로고
    • Well-posedness and regularity of backward stochastic Volterra integral equations
    • J. Yong, Well-posedness and regularity of backward stochastic Volterra integral equations, Prob. Theory Rel. Fields, 142 (2008), 21-77.
    • (2008) Prob. Theory Rel. Fields , vol.142 , pp. 21-77
    • Yong, J.1
  • 35
    • 84865464613 scopus 로고    scopus 로고
    • A deterministic linear quadratic time-inconsistent optimal control problem
    • J. Yong, A deterministic linear quadratic time-inconsistent optimal control problem, Math. Control Related Fields, 1 (2011), 83-118.
    • (2011) Math. Control Related Fields , vol.1 , pp. 83-118
    • Yong, J.1
  • 36
    • 83355170525 scopus 로고    scopus 로고
    • Deterministic time-inconsistent optimal control problems-An essentially cooperative approach
    • J. Yong, Deterministic time-inconsistent optimal control problems-An essentially cooperative approach, Acta Math. Appl. Sinica Engl. Ser., 28 (2012), 1-30.
    • (2012) Acta Math. Appl. Sinica Engl. Ser. , vol.28 , pp. 1-30
    • Yong, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.