A generalization of the Harsanyi NTU value to games with incomplete information

A Value for Cephoidal NTU-Games

The NTU-Value of Stochastic Games

The MC-value for monotonic NTU-games

The MC-value is introduced as a new single-valued solution concept for monotonic NTU-games. The MC-value is based on marginal vectors, which aze extensions of the well-known marginal vectors for TU-games and hyperplane games. As a result of the definition it follows that the MC-value coincides with the Shapley value for TU-games and with the consistent Shapley value for hyperplane games. It is ...

Axiomatizing the Harsanyi solution, the symmetric egalitarian solution and the consistent solution for NTU-games

The validity of the axiomatization of the Harsanyi solution for NTU-games by Hart (1985) is shown to depend on the regularity conditions imposed on games. Following this observation, we propose two related axiomatic characterizations, one of the symmetric egalitarian solution (Kalai and Samet, 1985) and one of the consistent solution (Maschler and Owen, 1992). The three axiomatic results are st...

Games with Incomplete Information

1. Game theory and classical economics. Game theory is a theory of strategic interaction. That is to say, it is a theory of rational behavior in social situations in which each player has to choose his moves on the basis of what he thinks the other players’ countermoves are likely to be. After preliminary work by a number of other distinguished mathematicians and economists, game theory as a sy...