34...An allocation is non enevy if an agent prefers his own allocation/endowment den that of the other's allocation endowment
consider the utility of agent A....UA(own allocation)= 4*alpha
and UA(B's allocation)= alpha+5
for non envy.....UA(own allocation)>=UA(B's allocation)
4*alpha>=alpha+5
3*alpha>=5
so alpha>=5/3
Similarly agent B prefers his own allocation as from A allocation UB=0
so alpha=>5/3 for non envy...
Akshay Jain
Masters in Economics
Delhi School of Economics
2013-15