Toward the late 1990s, several research groups independently began developing new, related theories in mathematical finance. These theories did away with the standard stochastic geometric diffusion "Samuelson" market model (also known as the Black-Scholes model because it is used in that most...

We will show by means of an example that, stated this way, this assertion is in general not correct. Therefore, we reconsider in this paper first the conditions under which the finite-planning- horizon linear-quadratic differential game has an open-loop Nash equilibrium solution. We present both...