Game theoretical optimization inspired by information theory

Inspired by previous work on information theoretical optimization problems, the basics of an axiomatic theory of certain special two–person zero–sum games is developed. One of the players, ‘Observer’, is imagined to have a mind, the other, ‘Nature’, not. These ideas lead to un–symmetric modeling as the two players are treated quite differently. Basic concavity– and convexity results as well as a general minimax theorem are derived from the axioms.