Structures of empirical probability spaces associated with convex games

Research Project

Project/Area Number	15K13459
Research Category	Grant-in-Aid for Challenging Exploratory Research
Allocation Type	Multi-year Fund
Research Field	Foundations of mathematics/Applied mathematics
Research Institution	Osaka University
Principal Investigator	Fujiwara Akio 大阪大学, 理学研究科, 教授 (30251359)
Project Period (FY)	2015-04-01 – 2018-03-31
Project Status	Completed (Fiscal Year 2017)
Budget Amount *help	¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000) Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000) Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000) Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords	経験確率 / 凸性 / 情報幾何学 / 量子情報 / 同時凸性 / 単調性 / 情報幾何 / 凸ゲーム / 意見収斂
Outline of Final Research Achievements	Aiming at establishing empirical probability structure and/or information geometrical structure associated with convex games, we studied the following: 1) metric structure and dualistic affine connection structure induced from the Sandwiched quantum Renyi α-divergence are studied, 2) Chentsov's characterization is complemented to clarify the structure of Markov invariant (r,s) tensor fields.

Report

(4 results)