Consider the bargaining problem of splitting a pie of size 1 with utility u(x1) = x1 for player 1 and v(x2) = 2x2 − x22
Posted: Thu Apr 28, 2022 11:41 am
Consider the bargaining problem of splitting a pie of size 1
with
utility u(x1) = x1 for
player 1
and v(x2) = 2x2 − x22 for
player 2,
where x1 and x2 denote
the share of the pie for player 1 and 2 respectively.
Draw (approximately) the utility
function v(x2) for player 2.
Is v(x2) strictly
increasing?
Is v(x2) concave? (Provide a
formal argument if possible).
Ref: Game Theory ( No other information is given)
with
utility u(x1) = x1 for
player 1
and v(x2) = 2x2 − x22 for
player 2,
where x1 and x2 denote
the share of the pie for player 1 and 2 respectively.
Draw (approximately) the utility
function v(x2) for player 2.
Is v(x2) strictly
increasing?
Is v(x2) concave? (Provide a
formal argument if possible).
Ref: Game Theory ( No other information is given)