M. Dufwenberg et al., The consistency principle for set-valued solutions and a new direction fornormative game theory, MATH M O R, 54(1), 2001, pp. 119-131
We extend the consistency principle for strategic games (Peleg and Tijs (19
96)) to apply to solutions which assign to each game a collection of produc
t sets of strategies. Such solutions turn out to satisfy desirable properti
es that solutions assigning to each game a collection of strategy profiles
lack. Our findings lead us to propose a new direction for normative game th
eory.