Give definitions and illustrative examples for the following terms:
Attainability set Reflexion
First-kind reflexion
Second-kind reflexion Informational reflexion Strategic reflexion
Reflexive game Awareness structure Informational equilibrium
Stable informational equilibrium Unstable informational equilibrium True informational equilibrium False informational equilibrium
Observation function Informational regulation Reflexive control
Active forecast
Axiom of self-awareness Phantom agent
Complexity of awareness structure Depth of awareness structure Reflexion rank
Graph of reflexive game Bipolar choice equilibrium