Imagine that you are at dinner with an acquaintance and that you are each independently choosing what to order for dinner: a burger (which costs $8), or a chicken ($12). In terms of enjoyment, you each have the same preferences: you value the burger at $14, chicken at $17. In other words, if you were dining alone and ordered a burger, your payoff would equal $14- $8 = $6. In this case, however, you will split the bill equally with your companion and thus your payoff depends both on your own order and the order of your acquaintance. Specifically, each diner's payoff is equal to the value of their own meal minus half the cost of the total bill. They also get a payoff of $2 when both of them choose the same meal. (a) Write down the normal form representation of the game in which both players are independently choosing between the actions Burger, Chicken. (b) What are pure and mixed Nash equilibria? Draw best response graphs according to beliefs.

Imagine that you are at dinner with an acquaintance and that you are each independently choosing what to order for dinner: a burger (which costs $8), or a chicken ($12). In terms of enjoyment, you each have the same preferences: you value the burger at $14, chicken at $17. In other words, if you were dining alone and ordered a burger, your payoff would equal $14- $8 = $6. In this case, however, you will split the bill equally with your companion and thus your payoff depends both on your own order and the order of your acquaintance. Specifically, each diner's payoff is equal to the value of their own meal minus half the cost of the total bill. They also get a payoff of $2 when both of them choose the same meal. (a) Write down the normal form representation of the game in which both players are independently choosing between the actions Burger, Chicken. (b) What are pure and mixed Nash equilibria? Draw best response graphs according to beliefs.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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