Name

TODA, Manabu

Official Title

Professor Professor

Affiliation

(School of Social Sciences)

Profile

Economic Theory, Game Theory, Matching Theory

Contact Information

Mail Address

Mail Address
mtoda@waseda.jp

Address・Phone Number・Fax Number

Address
1-6-1, Nishi-Waseda, Shinjuku, 169-8050, Tokyo, Japan
Phone Number
03-3204-8224

URL

Web Page URL

http://www.f.waseda.jp/mtoda/

Grant-in-aids for Scientific Researcher Number
30217509

Sub-affiliation

Sub-affiliation

Faculty of Social Sciences(Graduate School of Social Sciences)

Faculty of Political Science and Economics(Graduate School of Economics)

Faculty of Science and Engineering(Graduate School of Creative Science and Engineering)

Affiliated Institutes

現代政治経済研究所

兼任研究員 1989-

Educational background・Degree

Educational background

1976/04 -1980/03 St. Paul's University Faculty of Economics Economics
1980/04 -1989/03 Hitotsubashi University Graduate School, Division of Economics Economic Theory
1983/09 -1988/08 University of Rochester Department of Economics

Degree

Ph. D. in Economics Coursework University of Rochester Economic theory

Career

1989/04-1993/03Tokyo Keizai University, Lecturer
1993/04-2000/03Tokyo Keizai University, Assistant Professor
2000/04-2007/03Waseda UniversitySchool of Social SciencesAssociate Professor

Academic Society Joined

Japan Economic Association

The Association of Behavioral Economics and Finance

Research Field

Keywords

Economic Theory,Matching Theory

Grants-in-Aid for Scientific Research classification

Social sciences / Economics / Economic theory

Research interests Career

Game Theoretic Matching Problems

Current Research Theme Keywords:Matching Problems, Game Theory

Individual research allowance

Paper

Consistency in Two-sided Matching Problems and a Characterization of the Core.

Hiroo Sasaki and Manabu Toda

Journal of Economic Theory 56(1) p.93 - 1081992/01-

link

Consistency and its converse in assignment games

Manabu Toda

International Journal of Mathematics, Game Theory and Algebra/Nova Science Publishers 13(1) p.1 - 142003-

link

Core and Equilibria in Non-convex Economies

Manabu Toda

数理解析研究所講究録/京都大学数理解析研究所 1264p.91 - 1032002/05-

link

Axiomatization of the Core of Assignment Games

Manabu Toda

Games and Economic Behavior 53(2) p.248 - 2612005-

link

Motonicity and Consistency in Matching Markets

Manabu Toda

International Journal of Game Theory 34(1) p.13 - 312006-

link

Implementable Stable Solutions to Pure Matching Problems

Koichi Tadenuma and Manabu Toda

Mathematical Social Sciences/Elsevier 35(2) p.121 - 1321998/03-

link

Two-sided Matching Problems with Externalities

Hiroo Sasaki and Manabu Toda

Journal of Economic Theory/Academic 70(1) p.93 - 1081996/07-

Implementability and Characterization of the Competitive Solution with Indivisibilities

Decenteralizaiton Conference in Japan 1997/09-

Consistency of Social Welfare Functions and Dictatorship

Decentralization Conference in Japan 1996/09-

Monotonicity Properties and Characterization of the Core of Matching Problems

理論計量経済学会 1996/09-

Equilibrium Existence in Large Economies with Non-convexities

理論計量経済学会西部部会 1996/05-

Excess Demand Functions and Approximating Economies

理論計量経済学会 1995/09-

Equilibrium Existence and Fixed Point Theorems, Equivalence Theorems

7th World Congress of Econometric Society 1995/08-

"Population Monotonicity and Characterization of the Core of Matching Problems"

理論計量経済学会西部部会 1995/06-

On the fair allocations in the two-sided matching problems

Manabu Toda

Journal of Tokyo Keizai University : Economics 271p.29 - 422011/11-2011/11

Lecture And Oral

Equilibrium Existence and Fixed Point Theorems: Equivalence Theorems

The 7th World Congress of Econometric Society1995/08

Detail

Oral presentation(general)

Excess Demand Functions and Approximating Economices

Japan Economic Society1995/09

Detail

Oral presentation(general)

Work ・Software ・ Teaching Material ・ Field Work etc.

Characterizations of the Walrasian Solution from Equal Division

2004/08-

On Equilibrium Existence in Graham's Model and Walrasian Markets

2004/02-

Equilibrium Existence and Fixed Point Tneorems ; Eqnivalene Tneorems, Working Paper # 9404

1994-

Excess Demand on the Boundary and Approximating Economies, Working Paper # 9406

1994-

Population Morotonicity and Characterization of the Core of Matching Problems, Working Paper # 9501
Consistency and its Converse in Assignment ProblemsWorking Paper #9401 privately circulated

1993-

Characterization of the Core of Two-sided Matching Problems which allow self-matchingsWorking Paper #9402, privately circulated.

1993-

Another Characterization of the Core of Two-sided Matching ProblemsWorking Paper #9403 privately circulated.
"Consistercy of Social Welfare Functions and Dictatorship", Working Paper #9601, privately circulated

1996-

"Monotonicity Properties and Charaeterization of the Core of Matching Problems", Working Paper #9602, privately circulated

1996-

Implementaion and Characterization of the Competitive Solution with Indivisibility, Working Paper privately circulated

1997-

Implementability and Consistercy in Matching Problems, working paper privately civculated.

1998-

"The Existence and Comparative Statics of Residential Equilibrium with Cortinuouo Types of Indiuiduals"Working Paper.

1999-

Axiomatization of the core of assignment games

2001-

Research Grants & Projects

Grant-in-aids for Scientific Research Adoption Situation

Research Classification:

Allocation Method of environmental protection Cost by Cooperative Game Theory

Allocation Class:¥3300000

Research Classification:

Game theoretic Analysis for Cost Allocation of Cooperative Projects of Local Governments

Allocation Class:¥2500000

Research Classification:

An application of cooperative game theory

2007-2009

Allocation Class:¥4290000

Research Classification:

Improvement of healthcare in rural areas by reforming the residency matching program

2016/04-2019/03

Allocation Class:¥3510000

Research Classification:

Game Theoretic Approach to Cost Allocation Method and Coalition Formation in Environmental Cooperation Problem

2010/-0-2013/-0

Allocation Class:¥3900000

Research Classification:

An application of cooperative game theory

Allocation Class:¥4290000

On-campus Research System

Special Research Project

マッチング問題のコアに関する理論的研究

2000

Research Results Outline: 本研究はマッチング問題のコアの持つ数学的及び経済学的な性質を抽出し、それらが逆にコア自体を特徴づけることを示すことが目的である。マッチング問題とは2 本研究はマッチング問題のコアの持つ数学的及び経済学的な性質を抽出し、それらが逆にコア自体を特徴づけることを示すことが目的である。マッチング問題とは2種類のタイプの主体が存在するような状況で何らかの取引関係が異なるタイプの主体間のみにおいて行われる... 本研究はマッチング問題のコアの持つ数学的及び経済学的な性質を抽出し、それらが逆にコア自体を特徴づけることを示すことが目的である。マッチング問題とは2種類のタイプの主体が存在するような状況で何らかの取引関係が異なるタイプの主体間のみにおいて行われるようなモデルのことである。具体的には労働市場、オークション、結婚市場などを考えればよい。マッチング問題にはその構造において、数種類の差違が存在する。すなわち、取引が1対1で行われるのか、1対多で行われるのか、2タイプの主体の人数が等しいか否か、取引を行わないという選択を含めるか否か、選好順序が強順序であるか、弱順序を許容するのか、である。これに応じてマッチング問題は合計16クラスに分類される。それぞれのクラスにおいてコアの持つ性質は微妙に異なり、これが分析を複雑にしている。そこで本研究は、次の結果を示した。取引が1対1で2タイプの人数が一般に異なり取引を行わない選択が可能であり、弱順序を許容しない場合において、(1)コアはパレート最適性、人口単調性、マスキン単調性を満たす唯一の解である、(2)コアはパレート最適性、人口単調性、整合性を満たす唯一の解である、(3)したがって、パレート最適性と人口単調性の下でマスキン単調性と整合性は同値である、(4)コアはパレート最適性、相互最適性、マスキン単調性を満たす唯一の解である、(5)コアはパレート最適性、相互最適性、整合性を満たす唯一の解である、(6)したがって、パレート最適性と相互最適性の下でマスキン単調性と整合性は同値である、(7)よって、同様の条件下でナッシュ遂行可能性は整合性と同値である。さらに、本研究では通常の整合性に加えて Davis-Maschler タイプの整合性の条件を初めてマッチング問題において定式化した。それを用いて、次の結果を導いている。(7)コアは個別合理性、パレート最適性、マスキン単調性、Davis-Maschler 整合性を満たす唯一の解である。したがって、(8)パレート最適性とマスキン単調性の下で、解が人口単調性を満たすことは、それが個別合理性と Davis-Maschler 整合性を満たすことと同値である。本研究は、選好関係が弱順序となる可能性を考慮すると、次のような結果が得られることも示した。(9)コアは個別合理性、パレート最適、マスキン単調性、整合性を満たす唯一の解である。さらに、以上の結果を取引が1対多であるような場合に拡張した。具体的には、(10)この場合のコアは、パレート最適性、人口単調性、マスキン単調性を満たす唯一の解である、(11)コアは、パレート最適、人口単調性、整合性を満たす唯一の解である、(12)よって、1対多であるような取引が行われる場合でも、(13)パレート最適性と人口単調性の下で、マスキン単調性と整合性は同値である、したがって、(14)同様の条件の下でナッシュ遂行可能性は整合性と同値である。(なお、本研究の結果は学術雑誌に投稿中である。)

Lecture Course

Course TitleSchoolYearTerm
Basics of Game Theory ASchool of Social Sciences2019spring semester
Basics of Game Theory BSchool of Social Sciences2019fall semester
Mathematics for Economics 1School of Social Sciences2019spring semester
Mathematics for Economics 2School of Social Sciences2019fall semester
Microeconomics ISchool of Social Sciences2019spring semester
Microeconomics IISchool of Social Sciences2019fall semester
SeminarI (Theory of Games and Economics/fall semester)School of Social Sciences2019fall semester
SeminarII (Theory of Games and Economics/spring semester)School of Social Sciences2019spring semester
SeminarII (Theory of Games and Economics/fall semester)School of Social Sciences2019fall semester
SeminarIII (Theory of Games and Economics/spring semester)School of Social Sciences2019spring semester
SeminarIII (Theory of Games and Economics/fall semester)School of Social Sciences2019fall semester
Freshman Seminar (Spring) ASchool of Social Sciences2019spring semester
Freshman Seminar (Spring) BSchool of Social Sciences2019spring semester
Economics of Markets I (Jpn)(TODA, Manabu)Graduate School of Economics2019spring semester
Economics of Markets II (Jpn)Graduate School of Economics2019fall semester
Economics of Markets I(spring semester)Graduate School of Social Sciences2019spring semester
Economics of Markets I(fall semester)Graduate School of Social Sciences2019fall semester
Economics of Markets II(spring semester)Graduate School of Social Sciences2019spring semester
Economics of Markets II(fall semester)Graduate School of Social Sciences2019fall semester
Economics of Markets IGraduate School of Social Sciences2019spring semester
Economics of Markets IIGraduate School of Social Sciences2019fall semester
Utility TheoryGraduate School of Creative Science and Engineering2019fall semester

Education Content And Method Device

Lecture notes made downloadable through internet.

Detail

Outline:The lecture note of introductory mathematics for economists made downloadablerin pdf format.

The contents of lectures made accessible through internet.

Detail

Outline:All materials used in the lecture of microeconomics are available in html format.

Created Textbook And Teaching Material And Reference Book

"First Stelp Microeconomics"

Detail

Outline:Introductory Textbook of micoeconomics.

Others Educational Activity

Checking students attendance in lectures using e-mails.