The core and competitive equilibria of a large exchange economy on the commodity space ℓ∞ will be discussed. We define the economy as a measure on the space of consumers’ characteristics following Hart and Kohlberg (1974), and prove the existence of competitive equilibria and their...

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...

We prove here the existence of a value (of norm 1) on the spaces 'NA and even 'AN, the closure in the variation distance of the linear space spanned by all games f o \mu, where \mu is a non-atomic, non-negative finitely additive measure of mass 1 and f a real-valued function on [0, 1] which...

We prove here the existence of a value (of norm 1) on the spaces ′N A and even ′A N, the closure in the variation distance of the linear space spanned by all games f∘μ, where μ is a non-atomic, non-negative finitely additive measure of mass 1 and f a real-valued function on [0,1] which...

This is a survey and discussion of work covering both formal game theory and experimental gaming prior to 1991. It is a useful preliminary introduction to the considerable change and emphasis which has taken place since that time where dynamics, learning, and local optimization have challenged...

This chapter studies the theory of value of games with infinitely many players.Games with infinitely many players are models of interactions with many players. Often most of the players are individually insignificant, and are effective in the game only via coalitions. At the same time there may...