Multicriterion differential games with applications to combat problems (Q912774)

The dynamics of the considered two-person zero-sum differential game is described by the equation \(\dot x=f(x,u,v,t)\), \(u\in U\), \(v\in V\); the components of the vector criterion are of Bolza type. Two types of strategies are dealt with: open-loop programs and feedback strategies. Various solution concepts using Pareto optimality and an equilibrium property are considered. The determination of these solutions is discussed. Bicriterion games, and in particular, two-target or combat games, are investigated in detail. Reviewer's remark. The authors impose no restrictions on the function f and the function-strategies u(t,x) and v(t,x) so that it is not quite clear in what way a trajectory generated by a pair of strategies (and hence a value of vector criterion) is determined.