Exercise 4.1 Amy and Bill simultaneously write a bid on a piece of paper. The bid can only be either 2 or 3. A referee then looks at the bids, announces the amount of the lowest bid (without revealing who submitted it) and invites Amy to either pass or double her initial bid. -The outcome is determined by comparing Amy's final bid to Bill's bid: if one is greater than the other then the higher bidder gets the object and pays his/her own bid; if they are equal then Bill gets the object and pays his bid. Represent this situation by means of two alternative extensive frames. Note: (1) when there are simultaneous moves we have a choice as to which player we select as moving first: the important thing is that the second player does not know what the first player did; (2) when representing, by means of information sets, what a player is uncertain about, we typically assume that a player is smart enough to deduce relevant information, even if that information is not explicitly given to him/her.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Exercise 4.1 Amy and Bill simultaneously write a bid on a piece of paper. The bid
can only be either 2 or 3. A referee then looks at the bids, announces the amount of
the lowest bid (without revealing who submitted it) and invites Amy to either pass or
double her initial bid.
-
The outcome is determined by comparing Amy's final bid to Bill's bid: if one is
greater than the other then the higher bidder gets the object and pays his/her own bid;
if they are equal then Bill gets the object and pays his bid.
Represent this situation by means of two alternative extensive frames.
Note: (1) when there are simultaneous moves we have a choice as to which player we
select as moving first: the important thing is that the second player does not know what
the first player did;
(2) when representing, by means of information sets, what a player is uncertain about,
we typically assume that a player is smart enough to deduce relevant information, even
if that information is not explicitly given to him/her.
Transcribed Image Text:Exercise 4.1 Amy and Bill simultaneously write a bid on a piece of paper. The bid can only be either 2 or 3. A referee then looks at the bids, announces the amount of the lowest bid (without revealing who submitted it) and invites Amy to either pass or double her initial bid. - The outcome is determined by comparing Amy's final bid to Bill's bid: if one is greater than the other then the higher bidder gets the object and pays his/her own bid; if they are equal then Bill gets the object and pays his bid. Represent this situation by means of two alternative extensive frames. Note: (1) when there are simultaneous moves we have a choice as to which player we select as moving first: the important thing is that the second player does not know what the first player did; (2) when representing, by means of information sets, what a player is uncertain about, we typically assume that a player is smart enough to deduce relevant information, even if that information is not explicitly given to him/her.
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