2. (Problem 9U4 in the textbook) Return to the Tudor-Fordor problem of Section 6.C, when Tudor's low cost is c₁ = 10. Let z be the probability that Tudor actually has a low unit cost. (UT.Up) (56+25,25-40) TudorL X, Low price XPX Out-q] C-10: Tudor's low cost (56+56,0) Prob z Naturexo CH-15: Tudor's high cost Prob-z Fordor (19+3,45-40) Low price[p TudorHX Out(1-a] High price 1-pl (19+25,0) Fordor (25+3,45-40) Out[1-9] (25+25,0)

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2. (Problem 9U4 in the textbook) Return to the Tudor-Fordor problem of Section 6.C, when Tudor's low cost is c = 10. Let z be the
probability that Tudor actually has a low unit cost.
(UT,UF)→(56+25,25-40)
Tudorl X Low price
Outfl-q)
C=10: Tudors low cost
► (56+56,0)
Prob z
Nature
Х
Fordor
Cy=15: Tudor's high cost
● (19+3,45–40)
Inial
Prob 1-z
Low price[p
TudorH X
Out1-q)
High price(1-p)
• (19+25,0)
X Fordor
(25+3,45-40)
Out[1-g)
(25+25,0)
(a) How many pure-strategy equilibria are there when z = 0? What type of equilibrium (separating, pooling, or semi-separating)
occurs when z = 0 ? Explain.
(b) How many pure-strategy equilibria are there wnen z = 1? What type of equilibrium (separating, pooling, or semi-separating)
occurs when z = 1? Explain.
(c) What is the lowest value of z such that there is a pooling equilibrium?
(d) Explain intuitively why the pooling equilibrium cannot occur when the value of z is too low.
Transcribed Image Text:2. (Problem 9U4 in the textbook) Return to the Tudor-Fordor problem of Section 6.C, when Tudor's low cost is c = 10. Let z be the probability that Tudor actually has a low unit cost. (UT,UF)→(56+25,25-40) Tudorl X Low price Outfl-q) C=10: Tudors low cost ► (56+56,0) Prob z Nature Х Fordor Cy=15: Tudor's high cost ● (19+3,45–40) Inial Prob 1-z Low price[p TudorH X Out1-q) High price(1-p) • (19+25,0) X Fordor (25+3,45-40) Out[1-g) (25+25,0) (a) How many pure-strategy equilibria are there when z = 0? What type of equilibrium (separating, pooling, or semi-separating) occurs when z = 0 ? Explain. (b) How many pure-strategy equilibria are there wnen z = 1? What type of equilibrium (separating, pooling, or semi-separating) occurs when z = 1? Explain. (c) What is the lowest value of z such that there is a pooling equilibrium? (d) Explain intuitively why the pooling equilibrium cannot occur when the value of z is too low.
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