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Within this paper we conclude the treatise of vNM-Stable Sets for (cooperative) linear production games with a continuum of players. The paper resumes a series of presentations of this topic, for Part I, II, III, IV, see IMW 483, IMW 498, IMW 500, IMW 534. The framework has been outlined...
Persistent link: https://www.econbiz.de/10011432733
This paper continues the treatise of vNM Stable Sets for totally balanced (cooperative) games with a continuum of players. We generalize and extend the results obtained by a series of presentations of this topic (Part I, II, III, IV see [5], [6], [7], [8], [9]). Thus, the coalitional function is...
Persistent link: https://www.econbiz.de/10011822775
Game Theory describes human interaction involving conflict, cooperation and competition, the term Interpersonal Decision Theory is synonymous. The term reflects the fact that most essential features of this field are manifested in parlor games. This topic-level treatment covers large parts of...
Persistent link: https://www.econbiz.de/10001671143
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), pp. 39-61] are thereby substantially improved....
Persistent link: https://www.econbiz.de/10003771279
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 "cornered"...
Persistent link: https://www.econbiz.de/10009749480
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. -- Cephoids ; Bargaining theory ;...
Persistent link: https://www.econbiz.de/10003730893