. Consider a sequential continuum game with two players, in which Player 1 first chooses a continuous variable £₁, and then Player 2 selects 22, with payoff functions ₁ and 7₂. Find the best response for P2, as the function 2₂ = BR₂(x₁), for each given #₂: (a) (b) (c) T₂(x1, x2) = (1400 – x1 − x2)x2 – 13.x²2 T₂(x1, x2) = T₂(X₁, X₂) = 100x2 + 3x1x2 − 14x₁ −30x1x² 15x2 x² + x² +1

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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1. Consider a sequential continuum game with two players, in which Player 1 first chooses
a continuous variable £₁, and then Player 2 selects £2, with payoff functions ₁ and 7₂.
Find the best response for P2, as the function î2 = BR₂(x1), for each given #₂:
(a)
(b)
(c)
T₂(x1, x₂) ) = (1400 — x1 — x2)x2 − 13x²
T₂(x1, x₂)
T₂(X1, X2₂)
=
: 100x2 + 3x1x2 − 14x1 – 30x1x²
=
15x2
x² + x² +1
Transcribed Image Text:1. Consider a sequential continuum game with two players, in which Player 1 first chooses a continuous variable £₁, and then Player 2 selects £2, with payoff functions ₁ and 7₂. Find the best response for P2, as the function î2 = BR₂(x1), for each given #₂: (a) (b) (c) T₂(x1, x₂) ) = (1400 — x1 — x2)x2 − 13x² T₂(x1, x₂) T₂(X1, X2₂) = : 100x2 + 3x1x2 − 14x1 – 30x1x² = 15x2 x² + x² +1
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