# Games theory problem

Anonymous

Question description

Consider a game in which there is a prize worth \$30. There are three contestants, A, B, and C. Each can buy a ticket worth \$15 or \$30 or not buy a ticket at all. They make these choices simultaneously and independently. Then, knowing the ticket-purchase decisions, the game organizer awards the prize. If no one has bought a ticket, the prize is not awarded. Otherwise, the prize is awarded to the buyer of the highest-cost ticket if there is only one such player or is split equally between two or three if there are ties among the highest-cost ticket buyers.

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