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....

This paper constitutes the third part in a series dealing with vNM-Stable Sets, see J. Rosenmüller, "Convex vNM-Stable Sets for a Semi Orthogonal Game. Part I" [IMW Working Paper no. 483 (2013)], "Convex vNM-Stable Sets for a Semi Orthogonal Game. Part II" [IMW Working Paper no. 498 (2014)]. We...

This paper constitutes the second part in a series dealing with vNM-Stable sets for (cooperative) linear production games with a continuum of players, see J. Rosenmüller, "Convex vNM-Stable Sets for a Semi Orthogonal Game. Part I" [IMW Working Paper no. 483 (2013)]. The coalitional function is...

We consider (cooperative) linear production games with a continuum of players. The coalitional function is generated by r + 1 “production factors” that is, non atomic measures defined on an interval. r of these are orthogonal probabilities which, economically, can be considered as...

Within this paper we establish the existence of a vNM-Stable Set for (cooperative) linear production games with a continuum of players. The coalitional function is generated by r+1 "production factors" (non atomic measures). r factors are given by orthogonal probabilities ("cornered" production...

We characterize convex vNM-Stable Sets according to von Neumann and Morgenstern for orthogonal linear production games with a continuum of players. The results of [Rosenmüller & Shitovitz, International Journal of Game Theory 29 (2000)] are thereby substantially improved. Simultaneously, this...

A Cephoid is an algebraic ("Minkowski") sum of finitely many prisms in R^n. A cephoidal game is an NTU-game the feasible sets of which are cephoids. We provide a version of the Shapley NTU value for such games based on the bargaining solution of Maschler-Perles.

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.