TIGHT AND EFFECTIVELY RECTANGULAR GAME FORMS - A NASH SOLVABLE CLASS

We introduce a new class of game forms called effectively rectangular game forms. An effectively rectangular game form is one that has the s ame effectivity function as some rectangular game form. Actually we ex tend this class a little more: We define a superdeterminate game form as one that has an effectivity function which is finer than that of a rectangular game form. We prove that a tightly superdeterminate game f orm, hence a tight effectively rectangular game form, is Nash solvable . (C) 1998 Academic Press.