This question will concern Nash Bargaining.
(a) Show that when two agents are splitting a surplus X and agent i
agent has bargaining parameter ?, the share ?i of the surplus that
agent i gets will be equal to ?.
(b) Consider a problem of Nash Bargaining in which an employer
bargains with a worker. The worker has outside wage offer w^0 from
another firm, is paid wage w by the firm bargaining, and produces
profit ? for the firm that’s bargaining. The firm has bargaining
power ? and the worker has bargaining power 1 ? ?. What is the
solution of the Nash Bargaining problem?
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