Updated on 2024/07/03

写真a

 
TANAKA, Hisatoshi
 
Affiliation
Faculty of Political Science and Economics, School of Political Science and Economics
Job title
Associate Professor
Degree
Ph.D. in Economics ( 2013 University of Wisconsin-Madison )

Research Experience

  • 2008.04
    -
    Now

    Waseda University   Faculty of Political Science and Economics

Education Background

  • 2002.09
    -
    2013.05

    University of Wisconsin-Madison  

  • 1997.04
    -
    2008.03

    Waseda University   Graduate School of Economics  

  • 1993.04
    -
    1997.03

    Waseda University   School of Political Science and Economics  

Research Areas

  • Economic theory   Econometrics / Applied mathematics and statistics

Research Interests

  • Information geometry

  • 計量経済学

  • 数理経済学

 

Papers

  • Dually flat structure of binary choice models

    Hisatoshi Tanaka

    Information Geometry    2024.05  [Refereed]

    　View Summary

    Abstract

    In this study, we consider parametric binary choice models from the perspective of information geometry. The set of models is a dually flat manifold with dual connections, naturally derived from the Fisher information metric. Under the dual connections, the canonical divergence and the Kullback–Leibler divergence of the binary choice model coincide if and only if the model is a logit model.

    DOI

    Scopus

  • Geometry of Parametric Binary Choice Models

    Hisatoshi Tanaka

    Lecture Notes in Computer Science     157 - 166  2023.08  [Refereed]

    DOI

    Scopus

  • Differential geometry for the optimal design of the contingent valuation method

    Hisatoshi Tanaka

    Information Geometry    2023.05  [Refereed]

    　View Summary

    Abstract

    The contingent valuation method (CVM) is a widely used experimental method to measure the monetary value of goods. However, CVM estimates are sensitive to experiment design. In this study, we formulated the optimal design problem as a minimization problem of the Fisher information metric of a gradient vector field generated by using the statistical model of the CVM. Furthermore, a necessary and sufficient condition of the optimal design was proven.

    DOI

    Scopus

  • A Necessary Condition for Semiparametric Efficiency of Experimental Designs

    Hisatoshi Tanaka

    Lecture Notes in Computer Science     718 - 725  2021.07  [Refereed]

    DOI

    Scopus

  • 一様大数法則とその応用について

    田中久稔

    数理経済学の源流と展開    2015.08  [Invited]

  • Local consistency of the iterative least-squares estimator for the semiparametric binary choice model

    Hisatoshi Tanaka

    Advances in Mathematical Economics     139 - 161  2013.03  [Refereed]

    DOI

  • Kriström推定量の漸近的性質

    早稻田政治經濟學雑誌   ( 377 )  2010

  • On the Uniform Convergence Rate of a Nonparametric Maximum Likelihood Estimator of Binary Response Probability Functions

    Hisatoshi Tanaka

    The Waseda Journal of Political Science and Economics   ( 375 )  2009

  • UNDERSTANDING REGRESSION VERSUS VARIANCE TESTS FOR SOCIAL INTERACTIONS

    STEVEN N. DURLAUF, HISATOSHI TANAKA

    Economic Inquiry   46 ( 1 ) 25 - 28  2008.01  [Refereed]

    　View Summary

    This article considers the relationship between the use of regressions and the use of variance contrast methods to uncover social interactions. We illustrate how these methods employ different identifying assumptions and are therefore complementary approaches. We also provide formal identification results that extend existing ones for the two methods. (JEL C12, C21, C23, Z13)

    DOI

    Scopus

    8
    Citation
    (Scopus)

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Books and Other Publications

  • Rによる実証分析 : 回帰分析から因果分析へ

    星野, 匡郎, 田中, 久稔, 北川, 梨津

    オーム社  2023.01 ISBN: 9784274230028

  • 大学の人気講義でよく分かる「ミクロ経済学」超入門

    田中, 久稔

    SBクリエイティブ  2022.09 ISBN: 9784815608026

  • 計量経済学のための数学

    田中, 久稔

    日本評論社  2019.08 ISBN: 9784535559295

  • 経済数学入門の入門

    田中, 久稔

    岩波書店  2018.02 ISBN: 9784004317074

  • Rによる実証分析 : 回帰分析から因果分析へ

    星野, 匡郎, 田中, 久稔

    オーム社  2016.11 ISBN: 9784274219474

  • Rによる実証分析 : 回帰分析から因果分析へ

    星野, 匡郎, 田中, 久稔

    [オーム社]  2016.11 ISBN: 9784274802782

  • 経済学入門

    金子, 昭彦, 田中, 久稔, 若田部, 昌澄

    東洋経済新報社  2015.04 ISBN: 9784492314562

  • 経済数学

    永田, 良, 田中, 久稔

    培風館  2012.02 ISBN: 9784563062538

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Research Projects

  • Study of Economic Fluctuations Using the Method of Nonlinear Dynamics

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research

    Project Year :

    1999
    -
    2001
     

    INABA Toshio, TANAKA Hisanori, WARAGAI Tomoki, SASAKURA Kazuyuki, MISAWA Tetsuya, MATSUMOTO Akio

    　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.

 

Syllabus

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Sub-affiliation

  • 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