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  • 1
    Electronic Resource
    Electronic Resource
    On the bellman equation of the overtaking criterion (1990)
    Springer
    Journal of optimization theory and applications 67 (1990), S. 587-600 
    Details
    ISSN: 1573-2878
    Keywords: Bellman's equation ; value function ; overtaking criterion ; upper semicontinuity ; dynamical systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this note, we discuss the properties of solutions to the Bellman's equation of the overtaking criterion and also prove that the optimal trajectory can be represented by a continuous dynamical system.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939651
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  • 2
    Electronic Resource
    Electronic Resource
    On the Bellman equation of the overtaking criterion: Addendum (1993)
    Springer
    Journal of optimization theory and applications 78 (1993), S. 605-612 
    Details
    ISSN: 1573-2878
    Keywords: Bellman's equation ; value function ; overtaking criterion ; dynamical systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In a previous note, we discussed the properties of solutions to the Bellman equation of the Gale overtaking criterion. The purpose of this note is to show that the dynamic programming approach may also be used for the Brock criterion.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939885
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  • 3
    Electronic Resource
    Electronic Resource
    Structure of Pareto optima in an infinite-horizon economy where agents have recursive preferences (1990)
    Springer
    Journal of optimization theory and applications 64 (1990), S. 269-292 
    Details
    ISSN: 1573-2878
    Keywords: Recursive preferences ; Pareto optima ; dynamical systems ; value function
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This article generalizes the one-agent growth theory with discounting to the case of several agents with recursive preferences. In a multi-consumption goods world, we show that, under some regularity conditions, any Pareto optimum can be viewed as a function of a trajectory of a dynamical system. The state space can be chosen to be the product of the space of capitals and the unit simplex. We define and study the properties of generalized value functions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939449
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