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Theoretical and Empirical Studies on Economic Models with Discrete Structure

Research Project

Project/Area Number 06630011
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 経済理論
Research InstitutionWaseda University

Principal Investigator

SASAKI Hiroo  Waseda University, School of Commerce, Professor, 商学部, 教授 (30196175)

Project Period (FY) 1994 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1996: ¥300,000 (Direct Cost: ¥300,000)
Fiscal Year 1995: ¥200,000 (Direct Cost: ¥200,000)
Fiscal Year 1994: ¥600,000 (Direct Cost: ¥600,000)
KeywordsAssignment Problem / Matching / Indivisible Goods / Consistency / Strategy-Proofness / Externality / Competitive Equilibrium / Game Theory / マッチング問題 / 協力ゲーム / 離散モデル / アサインメント・ゲーム / コア / 分割不可能性 / 離散的経済モデル
Research Abstract

In this research project, we study economic models with indivisible goods. There are two kinds of models : one-sided models and two-sided models. This research project consists of two parts : theoretical part and empirical part. In the theoretical research part, we have five papers. In the first paper, we study a one-sided model with indivisible good and asymmetric information. In the research we show that there exists a certain kind of equilibrium that cannot exists in models with infinitely divisible good. In the second paper, we give a complete characterization of the core of assignment problems by using some axioms including a consistency axiom. This characterization can be interpreted as a characterization of a set of competitive equilibria of a general equilibrium model with indivisible goods. In the third paper, we study matching problems with externalities. We give an appropriate definition of stability in this setting and investigate some properties of the set of stable matchinges Although a stable matching in not necessarily Pareto-optimal, we prove that there exists a stable and Pareto-optimal matching. In the fourth paper, we study a fixed-price economy with indivisible good. We show that there is only one resource allocation mechanism that satisfies the strategy-proofness, Pareto-optimality, and anonymity. In the fifth paper, we study a matching problem with one-sided externalities. For the empirical research, we study a college admission problems and we find some empirical evidences which indicate that recommendation by some high school is determined by the Gale-Shapley Algorithm. We discuss some merits of the mechanism.

Report

(4 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • 1994 Annual Research Report
  • Research Products

    (14 results)

All Other

All Publications (14 results)

  • [Publications] HIROO SASAKI: "Consistency and Monotonicity in Assignment Problems" International Journal of Game Theory. 24. 373-397 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 佐々木宏夫: "情報の偏在と分割不可能性がある経済における均衡の性質と存在条件について" 早稲田商学. 365. 83-130 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] HIROO SASAKI: "Two-Sicled Matching Problems with Externalities" Journal of Economic Theory. 70. 93-108 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Hiroo Sasaki: "Consistency and Monotonicity in Assignment Problems" International Journal of Game Theory. 24. 373-397 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Hiroo Sasaki: "Equilibria of an Economy with Asymmetric Information and Indivisible Goods : Existence Problems and Properties of Equilibria" The Waseda Commercial Review. 365. 83-130 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Hiroo Sasaki: "Two-Sided Matcing Problems with Externalities" Journal of Economic Theory. 70. 93-108 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] HIROO SASAKI: "Consistency and Monotonicity in Assignment Problems" International Journal of Game Theory. 24. 373-397 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] 佐々木宏夫: "情報の偏在と分割不可能財がある経済における均衡の性質と存在条件について" 早稲田商学. 365. 83-130 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] HIROO SASAKI: "Two-Sided Matching Problems with Externalities" Journal of Economic Theory. 70. 93-108 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 佐々木宏夫: "片側だけに外部性のあるマッチング問題について" 現政研叢書. (掲載予定).

    • Related Report
      1996 Annual Research Report
  • [Publications] HIROO SASAKI: "Consistency and Monotonicity in Assignment Problems" International Journal of Game heory. 24. 373-397 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 佐々木 宏夫: "情報の偏在と分割不可能財がある経済における均衡の性質と存在条件について" 早稲田商学. 365. 83-130 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] HIROO SASAKI: "Two-Sided Matching Problems with Externalities" Journal of Economic Theory. (掲載予定).

    • Related Report
      1995 Annual Research Report
  • [Publications] 佐々木 宏夫: "Consistency and Monotonicity in Assignment Problems" Iuternational Journal of Game Theory. (発売予定).

    • Related Report
      1994 Annual Research Report

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Published: 1994-04-01   Modified: 2016-04-21  

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