Economics - Research Publications

Permanent URI for this collection

Search Results

Now showing 1 - 5 of 5
  • Item
    Thumbnail Image
    Stochastic growth with nonconvexities: the optimal case
    Nishimura, Kazuo ; Rudnicki, Ryszard ; STACHURSKI, JOHN ( 2004-02)
    This paper studies optimal investment and dynamicbehaviour of stochastically growing economies. We assume neitherconvex technology nor bounded support of the productivity shocks.A number of basic results concerning the investment policy and theRamsey–Euler equation are established. We also prove a fundamentaldichotomy pertaining to optimal growth models perturbedby standard econometric shocks: Either an economy is globallystable or it is globally collapsing to the origin.
  • Item
    Thumbnail Image
    Asymptotic statistical properties of the neoclassical optimal growth model
    STACHURSKI, JOHN ( 2004-02)
    The standard one-sector stochastic optimal growthmodel is shown to be not just ergodic but geometrically ergodic.In addition, it is proved that the time series generated by the optimalpath satisfy the Law of Large Numbers and the Central LimitTheorem.
  • Item
    Thumbnail Image
    Parametric continuity of stationary distributions
    VAN, CV ; STACHURSKI, J (Department of Economics, The University of Melbourne, 2004)
  • Item
    Thumbnail Image
    Equivalent conditions for irreducibility of discrete time Markov chains
    Van, Cuong Le ; STACHURSKI, JOHN ( 2004-02)
    We consider discrete time Markov chains on generalstate space. It is shown that a certain property referred to hereas nondecomposability is equivalent to irreducibility, and that aMarkov chain with invariant distribution is irreducible if and only ifthe invariant distribution is unique and assigns positive probabilityto all absorbing sets.
  • Item
    Thumbnail Image
    Stochastic optimal growth when the discount rate vanishes
    Nishimura, Kazuo ; STACHURSKI, JOHN ( 2004-07)
    It has been shown that long-run optimality of thelimit of discounted optima when the discount rate vanishes is impliedby a condition on the value function of the optimal program.We suggest a new method to verify this condition in the contextof one-sector optimal growth. The idea should be more widelyapplicable.