Characteristic Sets and Characteristic Numbers of Matrix Two-Person Games
Người báo cáo: Nguyễn Đông Yên (Viện Toán học)

Thời gian: 9:00-11:00 AM thứ 4 ngày 1.6.2022

Link seminar: meet.google.com/gaq-qqdn-wzh

Tóm tắt báo cáo: Focusing on the extreme points of the solution sets of matrix two-person games, we propose the notions of characteristic sets and characteristic numbers. These concepts allow us to look deeper into the games. Among other things, upper bounds for the characteristic numbers are obtained and a novel geometric construction is given. The construction leads us to useful descriptions of the optimal strategy set of each player of a game given by any nonsingular square matrix. Several open problems are formulated.

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