3 The payoff functions for Curly and Shemp are, respectively, c(x, y) = xy² = x², s(x, y) = 8y = xy2, with x = [1, 3], y = [1, 3]. Curly chooses x and Shemp chooses-y. (a) Find and graph the rational reaction sets for each player. Recall that the best response for Curly is BR. (y) E arg max c(x, y) and the rational reaction set for Curly is the graph of BR, (y). Similarly for Shemp. (b) Find a pure Nash equilibrium.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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3 The payoff functions for Curly and Shemp are, respectively,
c (x, y) = xy² – x²,
s'(x, y) = 8y – xy²,
%3D
with x e [1, 3], y e [1, 3]. Curly chooses x and Shemp chooses-y.
(a) Find and graph the rational reaction sets for each player. Recall that the best response
for Curly is BR, (y) E arg max c (x, y) and the rational reaction set for Curly is the
graph of BR,(y). Similarly for Shemp.
(b) Find a pure Nash equilibrium.
Transcribed Image Text:3 The payoff functions for Curly and Shemp are, respectively, c (x, y) = xy² – x², s'(x, y) = 8y – xy², %3D with x e [1, 3], y e [1, 3]. Curly chooses x and Shemp chooses-y. (a) Find and graph the rational reaction sets for each player. Recall that the best response for Curly is BR, (y) E arg max c (x, y) and the rational reaction set for Curly is the graph of BR,(y). Similarly for Shemp. (b) Find a pure Nash equilibrium.
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