After Neo and Morpheus saved the Matrix, they decided to do some investments. After researching, they found that investment on properties is very popular nowadays.
After looking through the market, there is one property which has risen their interests. However, only one of them can be the new owner of this property. The original owner’s expectation of this property is $120.
The real-estate agent will hold the bidding of this property on Sunday while Neo and Morpheus are the only two potential buyers who will attend this bid. They will take turns placing down a $10, $20, or $50 notes.
Whoever places the note that makes the total $120 is the winner and gets the chance to purchase this property.
1.
Draw the state graph showing the allowable states and moves. (3 marks)
2.
Label the states as winning or losing positions. Explain your notation. (2 marks)
3.
If Neo goes first, who will win? Please explain your answer. (2 marks)
4.
How many different
combinations
of legal bids adding to $120 are there and how does it relates to the state graph you draw in Q1? (2 marks)
5.
Neo doesn’t know this, but Morpheus has $10 and $20 notes, will this change your answer? Please explain your answer. (1 mark)