氏名

ヨコテ コウジ

横手 康二

職名

講師(任期付)

所属

(高等研究所)

外部研究資金

科学研究費採択状況

研究種別:

経済学・ゲーム理論と離散凸解析の総合的研究

2017年-0月-2019年-0月

配分額:¥1690000

学内研究制度

特定課題研究

ゲーム理論、離散凸解析を用いた望ましい分配方法の理論研究

2017年度

研究成果概要:    The purpose of this research is to analyze allocation rules that describe how to distribute limi...    The purpose of this research is to analyze allocation rules that describe how to distribute limited resources among agents. We explain two results obtained in this research.     First, we identify desirable allocation rules in the framework of cooperative games. The is a joint work with Professor Andre Casajus at HHL Leipzig Graduate School of Management.  We introduce a new axiom, termed weak differential monotonicity. This axiom requires monotonicity of the difference of final rewards between two specific players. We prove that this axiom characterizes the class of egalitarian Shapley values. I presented this result at East Asian Game Ttheory Conference 2017 held in Singapore.     Second, we apply discrete separation theorem to an auction model. Discrete convex analysis is a branch of mathematics that studies convexity in discrete settings. In an auction model, a non-equilibrium situation induces the discrepancy between aggregate demand and supply. Applying the discrete separation theorem to this situation, we obtain a new characterization of competitive price vectors. This result enables a unified understanding of existing auctions. I summarized this result in a working paper, which is accesible through Munich Personal Repec Archive.

現在担当している科目

科目名開講学部・研究科開講年度学期
ゲーム理論 II(横手康二)大学院経済学研究科2019秋学期