KAMIHIGASHI Takashi | ![]() |
Center for Computational Social Science (CCSS) | |
Professor | |
Business / Economics |
Oct. 2020 Kobe University, 令和2年度神戸大学学長表彰 財務貢献者
Oct. 2019 神戸大学, 令和元年度神戸大学学長表彰 財務貢献者
Others
Oct. 2018 神戸大学, 平成30年度神戸大学学長表彰 財務貢献者
Others
Oct. 2017 神戸大学, 平成29年度神戸大学学長表彰 財務貢献者, -
Others
May 2015 International Economics and Finance Society Japan, IEFS Japan Koji Shimomura Award 2015, -
Japan society
Mar. 2011 (財)村尾育英会, 第28回村尾育英会学術賞, 資産バブルと景気変動に関する経済理論
Sep. 2010 日本経済学会, 中原賞, -
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A policy change that involves a redistribution of income or wealth is typically controversial, affecting some people positively but others negatively. In this paper we extend the “robust comparative statics” result for large aggregative games established by Acemoglu and Jensen (2010) to possibly controversial policy changes. In particular, we show that both the smallest and the largest equilibrium values of an aggregate variable increase in response to a policy change to which individuals' reactions may be mixed but the overall aggregate response is positive. We provide sufficient conditions for such a policy change in terms of distributional changes in parameters.
Academic Press Inc., 01 Mar. 2018, Journal of Economic Theory, 174, 288 - 299, English[Refereed]
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We establish a simple no-bubble theorem that applies to a wide range of deterministic sequential economies with infinitely lived agents. In particular, we show that asset bubbles never arise if at least one agent can reduce his asset holdings permanently from some period onward. Our no-bubble theorem is based on the optimal behavior of a single agent, requiring virtually no assumption beyond the strict monotonicity of preferences. The theorem is a substantial generalization of Kocherlakota's (1992) result on asset bubbles and short sales constraints.
Elsevier B.V., 01 Jan. 2018, Mathematical Social Sciences, 91, 36 - 41, English[Refereed]
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We study the international transmission of bubble crashes by analyzing stationary sunspot equilibria in a two-country overlapping generations exchange economy with stochastic bubbles. We consider two cases of sunspot shocks. In the first case, we assume that only the foreign country receives a sunspot shock, while in the second, we assume that both countries independently receive sunspot shocks. In the first case, a bubble crash in the foreign country is always accompanied by a bubble crash in the home country. In the second case, a bubble crash in the foreign country can have a positive or negative effect on the home bubble. We also show that there exists a unique locally isolated stationary sunspot equilibrium, and that it is locally unstable. (C) 2016 Elsevier B.V. All rights reserved.
ELSEVIER SCIENCE SA, Jan. 2017, JOURNAL OF MATHEMATICAL ECONOMICS, 68, 115 - 126, English[Refereed]
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Given a sequence {f(n)}(n epsilon N) of measurable functions on a sigma-finite measure space such that the integral of each fn as well as that of lim sup(n up arrow infinity) f(n) exists in (R) over bar, we provide a sufficient condition for the following inequality to hold: lim sup (n up arrow infinity) integral f(n) d mu <= integral lim sup (n up arrow infinity) f(n) d mu. Our condition is considerably weaker than sufficient conditions known in the literature such as uniform integrability (in the case of a finite measure) and equi-integrability. As an application, we obtain a new result on the existence of an optimal path for deterministic infinite-horizon optimization problems in discrete time.
SPRINGER INTERNATIONAL PUBLISHING AG, Jan. 2017, JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017 (24), 1 - 15, English[Refereed]
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The discrete time "bomber problem" has been one of the longest standing open problems in operations research. In particular, the validity of one of the natural monotonicity conjectures-known as property (B)-has been an unresolved issue since 1968. In this paper we report 41 counterexamples to property (B) of this problem. We have found them by computing the exact solutions for nearly one million pairs of parameter values utilizing the GNU multiple precision arithmetic library. All our counterexamples can readily be verified using a simple Mathematica program included in this paper.
SPRINGER, Jan. 2017, ANNALS OF OPERATIONS RESEARCH, 248 (1-2), 579 - 588, English[Refereed]
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In this paper we introduce a technique for perfect simulation from the stationary distribution of a standard model of industry dynamics. The method can be adapted to other, possibly non-monotone, regenerative processes found in industrial organization and other fields of economics. The algorithm we propose is a version of coupling from the past. It is straightforward to implement and exploit the regenerative property of the process in order to achieve rapid coupling. (C) 2014 Elsevier B.V. All rights reserved.
ELSEVIER SCIENCE SA, Jan. 2015, JOURNAL OF MATHEMATICAL ECONOMICS, 56, 9 - 14, English[Refereed]
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We establish some elementary results on solutions to the Bellman equation without introducing any topological assumption. Under a small number of conditions, we show that the Bellman equation has a unique solution in a certain set, that this solution is the value function, and that the value function can be computed by value iteration with an appropriate initial condition. In addition, we show that the value function can be computed by the same procedure under alternative conditions. We apply our results to two optimal growth models: one with a discontinuous production function and the other with "roughly increasing" returns.
SPRINGER, Jun. 2014, ECONOMIC THEORY, 56 (2), 251 - 273, English[Refereed]
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This paper extends a family of well known stability theorems for monotone economies to a significantly larger class of models. We provide a set of general conditions for existence, uniqueness, and stability of stationary distributions when monotonicity holds. The conditions in our main result are both necessary and sufficient for global stability of monotone economies that satisfy a weak mixing condition introduced in the paper. Through our analysis, we develop new insights into the nature and causes of stability and instability.
ECONOMETRIC SOCIETY, May 2014, THEORETICAL ECONOMICS, 9 (2), 383 - 407, English[Refereed]
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Production takes time, and labor supply and profit maximization decisions that relate to current production are typically made before all shocks affecting that production have been realized. In this paper we re-examine the problem of stochastic optimal growth with aggregate risk where the timing of the model conforms to this information structure. We provide a set of conditions under which the economy has a unique, nontrivial and stable stationary distribution. In addition, we verify key optimality properties in the presence of unbounded shocks and rewards, and provide the sample path laws necessary for consistent estimation and simulation. (C) 2013 Elsevier B.V. All rights reserved.
ELSEVIER SCIENCE SA, Jan. 2014, JOURNAL OF MATHEMATICAL ECONOMICS, 50, 167 - 176, English[Refereed]
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This paper studies wealth distribution dynamics in a small open economy with a continuum of consumers indexed by initial wealth. Each of them solves a discrete-choice problem whose optimal policy function exhibits ergodic chaos. We show that for any initial distribution of wealth given by a density, the wealth distribution converges to a unique invariant distribution, and aggregate wealth converges to the corresponding value. Thus ergodic chaos leads to aggregate stability rather than instability. These results are illustrated with various numerical examples.
WILEY-BLACKWELL, Mar. 2013, INTERNATIONAL JOURNAL OF ECONOMIC THEORY, 9 (1), 45 - 56, English[Refereed]
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This note provides a simple proof of the necessity of the transversality condition for the differentiable reduced-form model. The proof uses only an elementary perturbation argument without relying on dynamic programming. The proof makes it clear that, contrary to common belief, the necessity of the transversality condition can be shown in a straightforward way.
SPRINGER, Sep. 2002, ECONOMIC THEORY, 20 (2), 427 - 433, English[Refereed]
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This paper studies necessity of transversality conditions for the continuous time, reduced form model. By generalizing Benveniste and Scheinkman's (1982) "envelope" condition and Michel's (1990) version of the squeezing argument, we show a generalization of Michel's (1990, Theorem 1) necessity result that does not assume concavity. The generalization enables us to generalize Ekeland and Scheinkman's (1986) result as well as to establish a new result that does not require the objective functional to be finite. The new result implies that homogeneity of the return function alone is sufficient for the necessity of the most standard transversality condition. Our results are also applied to a nonstationary version of the one-sector growth model. It is shown that bubbles never arise in an equilibrium asset pricing model with a nonlinear constraint.
BLACKWELL PUBL LTD, Jul. 2001, ECONOMETRICA, 69 (4), 995 - 1012, English[Refereed]
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This paper studies a life-cycle model in which the consumption good is assumed to be indivisible. This assumption requires the number of units of the good purchased in each period to be an integer. It is shown that, if the discount factor (B) is sufficiently small, the policy function takes the form of a pseudo-random number generator or, more precisely a linear congruential generator. It is also shown that optimal plans are almost always asymptotically non-periodic regardless of the discount factor. Various numerical examples of the value function and the policy function are provided. JEL Classification Numbers: C61, D91, E32.
BLACKWELL PUBL LTD, Mar. 2000, JAPANESE ECONOMIC REVIEW, 51 (1), 51 - 71, English[Refereed]
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Ekeland and Scheinkman (1986) prove the necessity of a standard transversality condition under certain technical conditions. Their result is one of the most powerful on the necessity of a transversality condition currently available in the literature, and their proof involves numerous estimations and relies on Ekeland's variational principle and Fatou's lemma. This note relaxes some of their assumptions and provides a simple proof that uses neither Ekeland's principle nor a convergence result like Fatou's lemma.
SPRINGER VERLAG, Mar. 2000, ECONOMIC THEORY, 15 (2), 463 - 468, English[Refereed]
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For infinite-horizon models with recursive preferences the condition known as increasing marginal impatience is often adopted, but the condition is not fully understood in the literature. This paper shows that increasing marginal impatience is equivalent to the intuitive property that the substitutability between the consumption levels in two different periods is a decreasing function of the distance between the periods.
SPRINGER-VERLAG WIEN, 2000, JOURNAL OF ECONOMICS-ZEITSCHRIFT FUR NATIONALOKONOMIE, 72 (1), 67 - 79, English[Refereed]
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By a dynamical system, we mean a system of N is an element of N equations that depend on x(t-mu),..., x(t+v) is an element of R-N, where mu, v is an element of N. We define a static system as a dynamical system that depends only on x(t). We define a quasi-static system as a dynamical system that is in a certain sense relatively close to a static system. We show that under additional conditions, a quasi-static system is chaotic in a generalized sense of Li and Yorke. This result provides easy-to-verify sufficient conditions for chaos for general multidimensional dynamical systems, including maps. We show that these conditions are stable under small C-1 perturbations. We apply these results to two types of growth models with externalities. We show that the models display chaotic dynamics for certain parameter values. WB also construct a numerical example in which utility is logarithmic and the dynamics are chaotic (and the discount rate is small). Our conditions for chaos are particularly useful in analyzing dynamic versions of static models with multiple equilibria, as well as dynamic models with multiple steady states. (C) 1999 Elsevier Science S.A. All rights reserved.
ELSEVIER SCIENCE SA, Mar. 1999, JOURNAL OF MATHEMATICAL ECONOMICS, 31 (2), 183 - 214, English[Refereed]
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This paper points out that real business cycle models are observationally equivalent to externality models, which we define as models with externalities and sunspots but without productivity shocks. As far as standard first-order systems are concerned, however, externality models turn out to be more flexible than RBC models. This explains, at least partly, why previous studies have found that externality models perform better than standard RBC models at generating realistic business cycle behavior. Our results cast doubt on the arguments of Farmer and Guo (1994) and Caballero and Lyons (1992).
ELSEVIER SCIENCE BV, Feb. 1996, JOURNAL OF MONETARY ECONOMICS, 37 (1), 105 - 117, English[Refereed]
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