This paper exhibits to any noncooperative game in strategic or normal form a 'canonical' game in extensive form that preserves all symmetries of the former one. The operation defined this way respects the restriction of games to subgames and yields a minimal total rank of the tree involved....

A Cephoid is a Minkowski sum of finitely many prisms in R^n. We discuss the concept of duality for Cephoids. Also, we show that the reference number uniquely defines a face. Based on these results, we exhibit two graphs on the outer surface of a cephoid. The first one corresponds to a maximal...

Within this paper we compute the Minkowski sum of prisms ("Cephoids") in a finite-dimensional vector space. We provide a representation of a finite sum of prisms in terms of inequalities.

We discuss linear production games or market games with a continuum of players which are represented as minima of finitely many nonatomic measures. Within this contex we consider vNM-Stable Sets according to von Neumann and Morgenstern. It is shown that we can classify or characterize all...

A Fee Game is a cooperative game with incomplete information the ex post realizations of which show side payment character. The game appears in coalitional function form depending on the 'types' of the players which are randomly chosen and about which the players have private information. We...