If u join the competitve eqm allocation and the endowment in the 1st ques by a line then the slope of that line is the price ratio vch is equal to -1....so px=py
Akshay Jain
Masters in Economics
Delhi School of Economics
2013-15
The common budget line passes thru the endowment and the comp eqm allocation...so its just the slope,of the budget line......try to draw the box nd ICs...it will b clear....
Akshay Jain
Masters in Economics
Delhi School of Economics
2013-15
@ akshay .. i m not getting ur point in first part u used utilty function to derive endwmnts but utility functns are used to check pareto efficiency and to competitive aur endowment it must satisfy budgt constraint or demand function and secondly if px=py then mrs >px/py then he has perfect substitutes so he should consume only one and if he is consuming both then mrs=price ratio..