Contracts, Biases and Consumption of Access Services Online Appendix

نویسندگان

  • Stephen Leider
  • Stephen M. Ross
  • Özge Şahin
چکیده

≥ 0 which implies J is increasing in q. Therefore, q∗ =min(q(k, t), p) = q(k, t, p). iii) Note that E(V |V > q) = q + E(V −q) + F̄(q) , then the optimal utility is given by J(k, t) = J(k, t, q∗) = E(V |V > q∗)min(tF̄ (q∗), k)+E(V −p) (tF̄(q )−k) F̄(q) = [q∗ + E(V −q ) F̄(q) ]min(tF̄ (q∗), k)+E(V −p) (tF̄(q )−k) F̄ (q) . If q∗ = q(k, t) then F̄ (q(k, t)) = k/t and J(k, t, q(k, t)) = [q(k, t)+ tE(V −q(k,t)) + k ]k+E(V − p).0 = tE(V − q(k, t))+kq(k, t). The derivative with respect to t is E(V − q(k, t)) ≥ 0, and the derivative with respect to k is q(k, t). On the other hand, if q∗ = p then J(k, t) = [p+ E(V−p) + F̄ (p) ]min(tF̄ (p), k)+E(V − p) (tF̄ (p)−k) + F̄ (p) =

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تاریخ انتشار 2014