Optimal

Optimal Prices

Strategy

Condition

Period 1

Period 2

Induce Evaluation

$0\le \kappa \le \widehat{\kappa }$

$1+\frac{R}{2}-\frac{\phi -\sqrt{{\phi }^2-2A\phi \left(1-\phi \right)\kappa }}{A\phi \left(1-\phi \right)}$

$v_L$

Prevent Evaluation

$\widehat{\kappa }\le \kappa \le \tilde{\kappa }$

$1+\frac{R}{2}-\frac{1}{A\phi }+\frac{\sqrt{\left(1-\phi \right)\left(A\left(1-\phi \right)\kappa R+{1)}^2+2A\phi \kappa \right)}}{A\phi \left(1-\phi \right)}$

n/a

$\kappa \ge \tilde{\kappa }$

$1+\frac{2\phi -1}{2}R-\frac{A\phi \left(1-\phi \right)R^2}{2}$

n/a