Table 3 Payoff matrix.
 | Strategy | Supervisors | |
---|---|---|---|
Strict regulation y | Collusion \(1-y\) | ||
Subordinates | Compliance with rules x | \({I_{1}}{ - }{T_1}\), \({I_{2}}{ - }{T_{2}}\) | \(H-\frac{1}{3} \theta R\), \(-T_{2} -\frac{1}{3} \theta F\) |
Non-compliance with rules \(1-x\) | \(-T_{1} -\frac{2}{3} \theta R\), \(-T_{3} +(1-r)W-\frac{2}{3} \theta F\) | \(H{ + }{P_{1}} - \theta R\), \((1 - r)W + {P_2} - \theta F\) |