In an ongoing price war between Burger Haven (locally owned) and MacArches (a chain), both restaurant managers plan to change the price of a hamburger by 10¢. If they both raise their prices, there will be no change in their market shares, but if they both lower their prices, the chain's national advertising will ensure that MacArches gains 4% of the market. Again because of advertising, if Burger Haven lowers their price and MacArches raises their price, Burger Haven will gain only 2% of the market, but if Burger Haven raises their price and MacArches lowers their price, MacArches will gain 5% of the market. Use this information to decide what the managers should do. MacArches R

Managerial Economics: A Problem Solving Approach
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Chapter15: Strategic Games
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In an ongoing price war between Burger Haven (locally owned) and MacArches (a chain), both restaurant managers plan to change the price of a hamburger by 10¢. If
they both raise their prices, there will be no change in their market shares, but if they both lower their prices, the chain's national advertising will ensure that
MacArches gains 4% of the market. Again because of advertising, if Burger Haven lowers their price and MacArches raises their price, Burger Haven will gain only 2%
of the market, but if Burger Haven raises their price and MacArches lowers their price, MacArches will gain 5% of the market. Use this information to decide what the
managers should do.
MacArches
R
%
%
Burger Haven
What does L represent?
O L represents lowering the price by 10¢.
O L represents raising the price by 10¢.
What does R represent?
R represents lowering the price by 10¢.
OR represents raising the price by 10¢.
The saddle point is the
in row
and column
What should the managers do?
O Both restaurants should raise the price.
Both restaurants should lower the price.
Burger Haven should lower its prices, while MacArches raises its prices.
MacArches should lower its prices, while Burger Haven raises its prices.
O O
Transcribed Image Text:In an ongoing price war between Burger Haven (locally owned) and MacArches (a chain), both restaurant managers plan to change the price of a hamburger by 10¢. If they both raise their prices, there will be no change in their market shares, but if they both lower their prices, the chain's national advertising will ensure that MacArches gains 4% of the market. Again because of advertising, if Burger Haven lowers their price and MacArches raises their price, Burger Haven will gain only 2% of the market, but if Burger Haven raises their price and MacArches lowers their price, MacArches will gain 5% of the market. Use this information to decide what the managers should do. MacArches R % % Burger Haven What does L represent? O L represents lowering the price by 10¢. O L represents raising the price by 10¢. What does R represent? R represents lowering the price by 10¢. OR represents raising the price by 10¢. The saddle point is the in row and column What should the managers do? O Both restaurants should raise the price. Both restaurants should lower the price. Burger Haven should lower its prices, while MacArches raises its prices. MacArches should lower its prices, while Burger Haven raises its prices. O O
Determine the optimal strategy for the situation by representing it as a game and finding the saddle point. State your final answer in the terms of the original
question.
In an ongoing price war between Burger Haven (locally owned) and MacArches (a chain), both restaurant managers plan to change the price of a hamburger by 10¢. If
they both raise their prices, there will be no change in their market shares, but if they both lower their prices, the chain's national advertising will ensure that
MacArches gains 4% of the market. Again because of advertising, if Burger Haven lowers their price and MacArches raises their price, Burger Haven will gain only 2%
of the market, but if Burger Haven raises their price and MacArches lowers their price, MacArches will gain 5% of the market. Use this information to decide what the
managers should do.
MacArches
R
%
%
Burger Haven
%
%
What does L represent?
L represents lowering the price by 10¢.
O L represents raising the price by 10¢.
What does R represent?
R represents lowering the price by 10¢.
OR represents raising the price by 10¢.
The saddle point is the
in row
and column
What should the managers do?
Both restaurants should raise the price.
Both restaurants should lower the price.
Burger Haven should lower its prices, while MacArches raises its prices.
Transcribed Image Text:Determine the optimal strategy for the situation by representing it as a game and finding the saddle point. State your final answer in the terms of the original question. In an ongoing price war between Burger Haven (locally owned) and MacArches (a chain), both restaurant managers plan to change the price of a hamburger by 10¢. If they both raise their prices, there will be no change in their market shares, but if they both lower their prices, the chain's national advertising will ensure that MacArches gains 4% of the market. Again because of advertising, if Burger Haven lowers their price and MacArches raises their price, Burger Haven will gain only 2% of the market, but if Burger Haven raises their price and MacArches lowers their price, MacArches will gain 5% of the market. Use this information to decide what the managers should do. MacArches R % % Burger Haven % % What does L represent? L represents lowering the price by 10¢. O L represents raising the price by 10¢. What does R represent? R represents lowering the price by 10¢. OR represents raising the price by 10¢. The saddle point is the in row and column What should the managers do? Both restaurants should raise the price. Both restaurants should lower the price. Burger Haven should lower its prices, while MacArches raises its prices.
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