Why Union make things worse in this case?# Economics - 经济
w*u
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In a market with transferable utility there are 5 agents.
Two are holding 2 left gloves each and three are holding 1
right gove each.
The worth of a coalition is the maximum number of proper
pairs of gloves the
coalition possesses. Find a core allocation. Suppose people
with right gloves
form a union. Does the core predict that the union benefits
its memebers?
Without union, the game (v, N) N={L,L,R,R,R} is:
v(L,R)=1 v(L,L,R)=1 v(L,R,R)=2 v(L,L,R,R)=2 v(N)=3
otherwise v(S)=0
It is easy to prove
Two are holding 2 left gloves each and three are holding 1
right gove each.
The worth of a coalition is the maximum number of proper
pairs of gloves the
coalition possesses. Find a core allocation. Suppose people
with right gloves
form a union. Does the core predict that the union benefits
its memebers?
Without union, the game (v, N) N={L,L,R,R,R} is:
v(L,R)=1 v(L,L,R)=1 v(L,R,R)=2 v(L,L,R,R)=2 v(N)=3
otherwise v(S)=0
It is easy to prove
