The development of a differential game related to terrorism: Min-Max differential game

A Differential Oligopoly Game with Sticky Prices and Environmental Externality

Min–max game theory and nonstandard differential Riccati equations for abstract hyperbolic-like equations

Weconsider the abstract dynamical framework of Lasiecka and Triggiani (2000) [1, Chapter 9], which models a large variety of mixed PDE problems (see specific classes in the Introduction) with boundary or point control, all defined on a smooth, bounded domain Ω ⊂ Rn, n arbitrary. This means that the input → solution map is bounded on natural function spaces. We then study min–max game theory pro...

Game Tree Searching by Min/Max Approximation

We present an iterative method for searching minlmax game trees based on the idea of approximating the “min” and “max” operators by generalized mean-valued operators. This approximation is useci to guide the selection of the next leaf node to expand, since the approximations allow one to select ejficiently that leaf node upon whose value the (approximate) value at the root most highly depends. ...

A mathematical model of the effect of subsidy transfer in cooperative advertising using differential game theory

This work deals with subsidy transfer from a manufacturer to a retailer through the distributor in cooperative advertising. While the retailer engages in local advertising, the manufacturer indirectly participates in retail advertising using advertising subsidy which is given to the distributor, who in turn transfers it to the retailer. The manufacturer is the Stackelberg game leader; the distr...

Differential Approximation of min sat, max sat and Related Problems

We present differential approximation results (both positive and negative) for optimal satisfiability, optimal constraint satisfaction, and some of the most popular restrictive versions of them. As an important corollary, we exhibit an interesting structural difference between the landscapes of approximability classes in standard and differential paradigms.