3 papers
math.OC2019
Advertising in an oligopoly with differentiated goods under general demand and cost functions: A differential game approach
Masahiko Hattori, Yasuhito Tanaka
We present an analysis of advertising activities in a dynamic oligopoly with differentiated goods by differential game approach under general demand and cost functions. Mainly we s…
math.OC2019
A differential game analysis of R&D in oligopoly with differentiated goods under general demand and cost functions: Bertrand vs. Cournot
Masahiko Hattori, Yasuhito Tanaka
We study a dynamic oligopoly with differentiated goods by differential game approach under general demand and cost functions. We show that the steady state value of the R&D investm…
q-fin.MF2018
Minimax theorem and Nash equilibrium of symmetric multi-players zero-sum game with two strategic variables
Masahiko Hattori, Atsuhiro Satoh, Yasuhito Tanaka
We consider a symmetric multi-players zero-sum game with two strategic variables. There are players, . Each player is denoted by . Two strategic variables are …