Some questions on microeconomics asked below, try and answer all of these

\f4. Beatrice has initial wealth of wo and suffers from quasi-hyperbolic discounting. At any date s, her utility from a consumption stream a = (ro, 21, .. .) is U (x|s) = In(z.) + 8) 8 In(1+k). where 8, 6 E (0, 1). She gets return of r > 1 from her savings so that her wealth at t + 1 is wy+1 = " (14 - It) if her wealth at t is wy and she consumes r, at t. (b) Find a sophisticated-optimal consumption strategy for her in which the self at any given date s consumes yu's. Compute the constant y and briefly verify that this is indeed a subgame-perfect equilibrium of the multi-agent game. (c) For #