Now suppose that United and American play this game for an indeterminate number of periods so that neither American nor United know when the game will effectively end. Each will play a Grim Trigger strategy. In this case the payoff table will become:

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Chapter1: Making Economics Decisions
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)
S
a high
price
(continu
es to coo
perate)
America
n charge
S
a low
price
(deviates
from co
operatio
n)
future.
United receives
$15 billion in profit today
and in every period in
future.
American receives $25
billion profit today and $0
profit in every future period.
United receives $5 billion
loss today and $0 profit in
every future period.
profit in every future
period.
United receives $20 billion
profit today and $0 profit in
every future period.
American receives $0 profit
today and in every period
in future.
United receives $0 profit
today and in every period
in future
c. Identify the Nash equilibrium or equilibria for this game with an indeterminate number of periods.
American charges a high price and United charges a high price.
American charges a high price and United charges a low price.
American charges a low price and United charges a low price.
American charges a low price and United charges a high price.
Transcribed Image Text:) S a high price (continu es to coo perate) America n charge S a low price (deviates from co operatio n) future. United receives $15 billion in profit today and in every period in future. American receives $25 billion profit today and $0 profit in every future period. United receives $5 billion loss today and $0 profit in every future period. profit in every future period. United receives $20 billion profit today and $0 profit in every future period. American receives $0 profit today and in every period in future. United receives $0 profit today and in every period in future c. Identify the Nash equilibrium or equilibria for this game with an indeterminate number of periods. American charges a high price and United charges a high price. American charges a high price and United charges a low price. American charges a low price and United charges a low price. American charges a low price and United charges a high price.
Now suppose that United and American play this game for an indeterminate number of periods so that neither American nor
United know when the game will effectively end. Each will play a Grim Trigger strategy. In this case the payoff table will
become:
America
n charge
S
a high
price
(continu
es to coo
perate)
America
n charge
S
a low
price
(deviates
from co
operatio
n)
United charges
a high price
(continues to cooperate)
American receives
$20 billion in profit today
and in every period in
future.
United receives
$15 billion in profit today
and in every period in
future.
American receives $25
billion profit today and $0
profit in every future period.
United receives $5 billion
loss today and $0 profit in
every future period.
United charges
a low price
(deviates from cooperatio
n)
American receives
$5 billion loss today and $0
profit in every future
period.
United receives $20 billion
profit today and $0 profit in
every future period.
American receives $0 profit
today and in every period
in future.
United receives $0 profit
today and in every period
in future
Transcribed Image Text:Now suppose that United and American play this game for an indeterminate number of periods so that neither American nor United know when the game will effectively end. Each will play a Grim Trigger strategy. In this case the payoff table will become: America n charge S a high price (continu es to coo perate) America n charge S a low price (deviates from co operatio n) United charges a high price (continues to cooperate) American receives $20 billion in profit today and in every period in future. United receives $15 billion in profit today and in every period in future. American receives $25 billion profit today and $0 profit in every future period. United receives $5 billion loss today and $0 profit in every future period. United charges a low price (deviates from cooperatio n) American receives $5 billion loss today and $0 profit in every future period. United receives $20 billion profit today and $0 profit in every future period. American receives $0 profit today and in every period in future. United receives $0 profit today and in every period in future
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