Suppose that the share of total production consumed by player i is x / x+(n1)y, where x is player i's level of conflict and y is the level of conflict chosen by the other n 1 players. Thus, utility to player 1 is u = (x / x +(n1)y) A[nw-x-(n-1)y], where w > 0 the endowment of each player and A >1 is a technology parameter. q: Assume that each player's equilibrium production is Ak = A(w - x*). Show your equilibrium utility u* varies with n %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 24EQ: Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry...
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Suppose that the share of total production
consumed by player i is x / x+(n1)y, where x
is player i's level of conflict and y is the level
of conflict chosen by the other n 1 players.
Thus, utility to player 1 is u = (× / x +(n1)y)
A[nw-x-(n-1)y], where w > 0 the
endowment of each player and A >1 is a
technology parameter.
q: Assume that each player's equilibrium
production is Ak = A(w - x*). Show your
equilibrium utility u* varies with n
Transcribed Image Text:Suppose that the share of total production consumed by player i is x / x+(n1)y, where x is player i's level of conflict and y is the level of conflict chosen by the other n 1 players. Thus, utility to player 1 is u = (× / x +(n1)y) A[nw-x-(n-1)y], where w > 0 the endowment of each player and A >1 is a technology parameter. q: Assume that each player's equilibrium production is Ak = A(w - x*). Show your equilibrium utility u* varies with n
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