Collusion

Principal P : no information, $W = S(q) - t - s$

$\rightarrow$ Supervisor ： bridge the gap between P and A, monitoring technology T, gain signal $\sigma \in \Sigma$

$\rightarrow$ Agent: profit $U = t - \theta q$

Information structure: $\theta$ binary with probabilities $\nu, 1-\nu$

P observes $\sigma$