Quantum-like approach to financial risk: quantum anthropic principle

We continue the analysis of quantum-like description of market phenomena and economics. We show that it is possible to define a risk inclination operator acting in some Hilbert space that has a lot of common with quantum description of the harmonic oscillator. The approach has roots in the recently developed quantum game theory and quantum computing. A quantum anthropic principle is formulated 1 Noncommutative quantum mechanics The term noncommutative quantum mechanics is misleading as it suggest there might exists something like commutative quantum mechanics. In fact quantum theory has built in various types of noncommutativity since its infancy. Nowadays the adjective noncommutative reflects the possibility that the space variables x̂ might not commute. This sort of generalizations has it roots in M-theory (branes), deformation quantization, Weyl quantization and curiosity [1]. This is of course connected with the A. Connes program