B. Now consider the more general case where you and I both value the street light at $V, it costs $C, and

$1 tomorrow is worth $d , 1 today. Assume throughout that the equilibrium is subgame perfect.

a. Suppose, as in A(a), that we will have collected enough pledges on day T when individual i puts in the last pledge. What is xT i

in terms of d and V?

b. What is xT21 j

? What about xT22 i

?

c. From your answers to (b), can you infer the pledge amount xT2t for t ranging from 1 to 1T 2 12?