Consider a game with three players, Bob, John, and Mark. Bob moves first and cho

Q: Consider a game with three players, Bob, John, and Mark. Bob moves first and cho

e) Bob’s Strategies: 5 strategies- Top or Middle or bottom, In or out f) John’s Strategies: 2 strategies - Up or Down g) Mark’s Strategies: 2 strategies - High or Low

ID: 1139449 • Letter: C

Question

Consider a game with three players, Bob, John, and Mark. Bob moves first and chooses either top or middle or bottom. John moves after Bob and observes what Bob has chosen. John chooses either Up or Down but his choice can depend on what Bob has done. Mark makes the next move, observing John's choice but not Bob's choice. So he knows that John has chosen Up or Down but not whether it followed top, middle, or bottom. Mark has two choices at each of his information sets, say H(igh) or L(ow). Finally, Bob moves again; he remembers, of course, what he has chosen but does not know what John or Mark has chosen. He has two choices in each of his information sets at this move, in or out. e) How many strategies does Bob have? What are they? f) How many strategies does John have? What are they? g) How many strategies does Mark have? What are they?

Explanation / Answer

e) Bob’s Strategies:

5 strategies- Top or Middle or bottom, In or out

f) John’s Strategies:

2 strategies - Up or Down

g) Mark’s Strategies:

2 strategies - High or Low

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Consider a game with three players, Bob, John, and Mark. Bob moves first and cho

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