Productive signals. What are the separating and pooling ICE in the following cases? (a) The productivity of a qi type is qisa with a  (0, 1) and the marginal costs of signalling are ci  1/qi (i  1,...

Productive signals. What are the separating and pooling ICE in the following cases? (a) The productivity of a qi type is qisa with a  (0, 1) and the marginal costs of signalling are ci  1/qi (i  1, 2). (b) Assume that there is a continuum of types q uniformly distributed over [1, 2], the productivity of type q is qsa with a  0 and that the marginal signalling cost and type q is 1/q. (c) As in (b) but now a  (0, 1).