two buyers bid in an auction for a single object.each can bid any integer from 0$ to 10$. the two bids are made simultaneously and independently of each other.the buyers' respective values are v1=5 and v2=10 . the bidder with the higher bid wins( obtains the object) and plays the amount of his own bid.however, the bidder who does not win the auction and thus does not get the object is also obligated to pay half of his own bid. in case of a tie in the bids bidder 2 wins