研究内容
非線型経済動学の見地から、多部門成長モデルをはじめとする、広範囲の動学的一般均衡モデルを、研究対象として、取り扱う。力学系の分岐の理論およびマルコフ過程の理論に依拠しつつ、これらの諸モデルにおいて、均衡の非線型振動・均衡の不決定性・サンスポット均衡、といった現象が、出現する条件を、分析する。
主要成果
1. Tadashi Shigoka (with Kazuo Nishimura), “Hopf Bifurcation and the Existence and Stability of Closed Orbits in Three-Sector Models of Optimal Endogenous Growth,” Studies in Nonlinear Dynamics & Econometrics, De Gruyter, Vol. 23 (4), pp. 1-21, September 2019.
2. Tadashi Shigoka (with Hiromi Murakami and Kazuo Nishimura), “Homoclinic Orbit and Stationary Sunspot Equilibrium in a Three-Dimensional Continuous-Time Model with a Predetermined Variable,” Sunspots and Non-Linear Dynamics: Essays in Honor of Jean-Michel Grandmont, Studies in Economic Theory, Springer, (Kazuo Nishimura, Alain Venditti and Nicholas C. Yannelis, eds.), pp. 175-200, 2016.
3. Tadashi Shigoka (with Paolo Mattana and Kazuo Nishimura), “Homoclinic Bifurcation and Global Indeterminacy of Equilibrium in a Two-Sector Endogenous Growth Model”, International Journal of Economic Theory 5, pp, 25-47, 2009.
4. Tadashi Shigoka (with Jess Benhabib and Kazuo Nishimura), “Bifurcation and Sunspots in the Continuous Time Equilibrium Model with Capacity Utilization”, International Journal of Economic Theory 4, pp. 337-355, 2008.
5. Tadashi Shigoka (with Kazuo Nishimura), “Sunspots and Hopf Bifurcations in Continuous Time Endogenous Growth Models”, International Journal of Economic Theory 2, pp.199-216, 2006.
6. Tadashi Shigoka (with Michele Boldrin, Kazuo Nishimura and Makoto Yano), “Chaotic Equilibrium Dynamics in Endogenous Growth Models”, Journal of Economic Theory 96, pp. 97-132, 2001.
7. Tadashi Shigoka (with Kazuo Nishimura and Makoto Yano), “Interior Optimal Chaos with Arbitrarily Low Discount Rates”, Japanese Economic Review 49, pp. 223-233, 1998.
8. Tadashi Shigoka, “A Note on Woodford’s Conjecture: Constructing Stationary Sunspot Equilibria in a Continuous Time Model”, Journal of Economic Theory, 64, pp. 531-540, 1994.