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    Article

    Global convergence in an overlap** generations model with two-sided altruism

    We study the evolutionary dynamics of an overlap** generations economy with two-sided altruism, where each generation cares about the utilities of its parental generation, its offspring, and its own. We assu...

    Takaaki Aoki, Kazuo Nishimura in Journal of Evolutionary Economics (2017)

  2. Book Series

    Studies in Economic Theory

    Volume 1 / 1991 to Volume 31 / 2017

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    Book

    Sunspots and Non-Linear Dynamics

    Essays in Honor of Jean-Michel Grandmont

    Kazuo Nishimura, Alain Venditti in Studies in Economic Theory (2017)

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    Chapter

    Introduction

    This chapter presents a brief overview of the career and main contributions of Professor Jean-Michel Grandmont. It also provides a summarized description of the 16 papers written in his honor by his friends an...

    Kazuo Nishimura, Alain Venditti, Nicholas C. Yannelis in Sunspots and Non-Linear Dynamics (2017)

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    Chapter

    Sunspot Fluctuations in Two-Sector Models with Variable Income Effects

    We analyze a version of the Benhabib and Farmer (1996) two-sector model with sector-specific externalities in which we consider a class of utility functions inspired from the one considered in Jaimovich and Rebe...

    Frédéric Dufourt, Kazuo Nishimura, Carine Nourry in Sunspots and Non-Linear Dynamics (2017)

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    Chapter

    Homoclinic Orbit and Stationary Sunspot Equilibrium in a Three-Dimensional Continuous-Time Model with a Predetermined Variable

    We treat a three-dimensional continuous-time model that includes one predetermined variable and two non-predetermined variables. We assume (1) that the model has a two-dimensional well-located invariant manifo...

    Hiromi Murakami, Kazuo Nishimura, Tadashi Shigoka in Sunspots and Non-Linear Dynamics (2017)

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    Chapter

    Trade and Indeterminacy in a Dynamic General Equilibrium Model

    This study investigates the dynamic behavior of multiple countries’ economic activities in a two-good, two-factor model in which factors are internationally immobile and countries’ technologies are subject to ...

    Kazuo Nishimura, Koji Shimomura in Nonlinear Dynamics in Equilibrium Models (2012)

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    Chapter

    Indeterminacy Under Constant Returns to Scale in Multisector Economies

    Recently there has been a renewed interest in indeterminacy, or alternatively put, in the existence of a continuum of equilibria in dynamic economies that exhibit some market imperfections. One of the primary ...

    Jess Benhabib, Qinglai Meng, Kazuo Nishimura in Nonlinear Dynamics in Equilibrium Models (2012)

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    Chapter

    Chaotic Solutions in Dynamic Linear Programming

    Chaotic phenomena have been observed in various fields of sciences. We are concerned with linear programming (LP) and demonstrate that chaos may emerge as a solution to a dynamic LP problem. For this purpose, ...

    Kazuo Nishimura, Mokoto Yano in Nonlinear Dynamics in Equilibrium Models (2012)

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    Chapter

    Global Externalities, Endogenous Growth and Sunspot Fluctuations

    Over the last decade, a large literature has focussed on the existence of local indeterminacy, i.e. a continuum of equilibrium paths converging toward a steady state, and sunspot fluctuations in endogenous gro...

    Kazuo Nishimura, Harutaka Takahashi in Nonlinear Dynamics in Equilibrium Models (2012)

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    Chapter

    On the Least Upper Bound of Discount Factors that are Compatible with Optimal Period-Three Cycles

    In this study, we derive, in the standard class of optimal growth models, the least upper bound of discount factors of future utilities for which a cyclical optimal path of period 3 may emerge.1 On the one han...

    Kazuo Nishimura, Makoto Yano in Nonlinear Dynamics in Equilibrium Models (2012)

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    Chapter

    A Complete Characterization of Optimal Growth Paths in an Aggregated Model with a Non-Concave Production Function

    The convexity of technology has played a crucial role in economic analyses of optimal one-sector growth problems. For example, two of the key results on the traditional model of Ramsey (1928) that have relied ...

    W. Davis Dechert, Kazuo Nishimura in Nonlinear Dynamics in Equilibrium Models (2012)

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    Chapter

    Stability of Stochastic Optimal Growth Models: A New Approach

    Many economic models are now explicitly dynamic and stochastic. Their state variables evolve in line with the decisions and actions of individual economic agents. These decisions are identified in turn by impo...

    Kazuo Nishimura, John Stachurski in Nonlinear Dynamics in Equilibrium Models (2012)

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    Chapter

    Homoclinic Bifurcation and Global Indeterminacy of Equilibrium in a Two-Sector Endogenous Growth Model

    If for a given endogenous growth model, there exists a continuum of equilibria in a small neighborhood of a balanced growth path (BGP) that continues to stay in this neighborhood, it is said that equilibrium i...

    Paolo Mattana, Kazuo Nishimura, Tadashi Shigoka in Nonlinear Dynamics in Equilibrium Models (2012)

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    Chapter

    The Hopf Bifurcation and Existence and Stability of Closed Orbits in Multisector Models of Optimal Economic Growth

    The local and global stability of multisector optimal growth models has been extensively studied in the recent literature. Brock and Scheinkman (1976), Cass and Shell (1976), McKenzie (1976), and Scheinkman (1...

    Jess Benhabib, Kazuo Nishimura in Nonlinear Dynamics in Equilibrium Models (2012)

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    Chapter

    Interlinkage in the Endogenous Real Business Cycles of International Economies

    International trade interlinks the business cycles of trading countries, as it relates economic activities of agents in one country to those in another. In some cases, as a result of trade, a country’s busines...

    Kazuo Nishimura, Makoto Yano in Nonlinear Dynamics in Equilibrium Models (2012)

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    Chapter

    Intertemporal Complementarity and Optimality: A Study of a Two-Dimensional Dynamical System

    The theory of optimal intertemporal allocation has been developed primarily for the case in which the objective function of the planner or representative agent can be written as

    Tapan Mitra, Kazuo Nishimura in Nonlinear Dynamics in Equilibrium Models (2012)

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    Chapter

    Stochastic Optimal Growth with Nonconvexities

    The stochastic optimal growth model (Brock and Mirman 1972) is a foundation stone of modern macroeconomic and econometric research. To accommodate the data, however, economists are often forced to go beyond th...

    Kazuo Nishimura, Ryszard Rudnicki in Nonlinear Dynamics in Equilibrium Models (2012)

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    Chapter

    Indeterminacy and Sunspots with Constant Returns

    Recently there has been a renewed interest in the possibility of indeterminacy and sunspots, or alternatively put, in the existence of a continuum of equilibria that arises in dynamic economies with some marke...

    Jess Benhabib, Kazuo Nishimura in Nonlinear Dynamics in Equilibrium Models (2012)

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    Chapter

    Indeterminacy in Discrete-Time Infinite-Horizon Models with Non-linear Utility and Endogenous Labor

    Over the last decade, a large number of papers have established the fact that locally indeterminate equilibria and sunspots fluctuations may arise in infinite-horizon growth models with external effects in pro...

    Kazuo Nishimura, Alain Venditti in Nonlinear Dynamics in Equilibrium Models (2012)

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