N-person games in partition function form

✍ Scribed by R. M. Thrall; W. F. Lucas

• Publisher: John Wiley and Sons
• Year: 1963
• Tongue: English
• Weight: 761 KB
• Volume: 10
• Category: Article
• ISSN: 0894-069X
• DOI: 10.1002/nav.3800100126

✦ Synopsis

This paper gives a formulation of a theory of n-person cooperative games with side payments in t e r m s of a partition function which i s defined on the s e t of all partitions of the s e t of players. The r e s u l t s for all games with n 5 3 a r e presented. This development generalizes the von Neumann-Morgenstern theory of games in characteristic function form.

* This r e s e a r c h w a s supportedin part by the National Science Foundation under Grant No. NSF - GI8914 at the University of Michigan.

t W e will use the t e r m "partition function" h e r e i n place of "generalized c h a r a c t e r i s t i c function"

i n [4], since the latter t e r m h a s been used by o t h e r s in a different sense.