Hi Maahi.. :)
23) Refer the following link:
http://economicsentrance.weebly.com/forum.html25) Find the market demand.And then equate market demand with market supply.
27) Agent1 is a first mover. So, maximise his utility wrt to his budget constraint. Then, after that whatever is left will be consumed by Agent 2 as his utility is increasing in both the arguments. That point will be PE.
28) Clearly, the above allocation is PE because there is a bound on Agent's1 ability to consume.
29)Equate the MRS and substitute the values to allocations you got in 27.
30) Now, Agent 2 is a first mover. Do, maximise his utility first and then, check for Agent 1.
36) Just total differentiate Y=C+I+G. Divide it by (∂Y).Plug the value of (∂i/∂Y). You'll get ∂Y/∂G.
:)