Updated on 2021/12/08

写真a

 
TANAKA, Hisatoshi
 
Affiliation
Faculty of Political Science and Economics, School of Political Science and Economics
Job title
Associate Professor

Concurrent Post

  • Faculty of Political Science and Economics   Graduate School of Economics

  • Faculty of Political Science and Economics   Graduate School of Political Science

  • Faculty of Social Sciences   Graduate School of Social Sciences

Degree

  • 修士

 

Research Interests

  • 経済理論

Research Projects

  • Study of Economic Fluctuations Using the Method of Nonlinear Dynamics

    Project Year :

    1999
    -
    2001
     

     View Summary

    (1) One Dimensional Models
    Chaos occurs in a nonlinear cobweb model with normal demand and supply, naive expectations and adaptive production adjustment. We demonstrates the possibility that chaotic fluctuations may be preferable to a steady state for a simple macro disequilibrium model in which inventory can be chaotically fluctuated.
    (2) High Dimensional Models
    We investigate the global dynamics of two-dimensional Diamond-type overlapping generations model extended to allow for government intervention. We identify conditions under which transverse homoclinic points to the golden rule steady state are generated. We examine by mean of analytical method and numerical simulations the properties of three-dimensional Kaldor-type business cycle models in which a parameter is fluctuated by noise. It is shown that noise may not obscure the underling structures, but also reveal the hidden structures.
    (3) New Numerical Approximation Schemes
    Composition methods for autonomous stochastic differential equations (SDEs) are formulated to produce numerical approximation schemes for the equations. The new schemes are advantageous to preserve the special character of SDEs numerically and are useful for approximations of the solutions to stochastic nonlinear equations
    (4) Alternative Approaches and Models
    We investigate various alternative approaches and models. For example, percolation theory is employed to model stock price fluctuations.

 

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