This paper extends the concepts of proper equilibria, protective behaviour and prudent behaviour to multicriteria games. Three types of proper equilibria based on different types of domination are introduced. It is shown that protective behaviour coincides with prudent behaviour. Possible...

Some new axiomatic characterizations and recursive formulas of the Shapley value are presented. In the results, dual games and the self-duality of the value implicitly play an important role. A set of non-cooperative games which implement the Shapley value on the class of all games is given