Nash Social Welfare, Logic, and Inductive Game Theory: An Application on the Russian Invasion of Ukraine

Abstract

In this lecture, I introduce the theory of Nash social welfare (NSW) function, and discuss its implications for peace and justice, particularly, in the context of the Russian invasion of Ukraine. We face many other devastating events in the present world. Because the NSW theory aims to consider such events, the theory consists of extreme postulates from the viewpoint of extant socia l thoughts. As expected, it involves various conundrums at the foundational levels in the socio-economic and philosophical senses, in particular , the problems of small communities versus those at the level of the whole world. To understand such contrast, here, we discuss the subjects listed in the title of the lecture, that is, the NSW theory, logic and inductive game theory. These help us consider managements of the world, as well as their applications to the Russian invasion of Ukraine. The main text describes how these seemingly independent subjects are connected in my research development and have important implications for devastating events.