Consider a game in which there is a prize worth $30. There are three contestants, Larry, Curly, and Moe. Each can buy a ticket worth $15 or $30 or not buy a ticket at all. They make these choices...

Consider a game in which there is a prize worth $30. There are three contestants, Larry, Curly, and Moe. 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. Show this game in strategic form, using Larry as the row player, Curly as the column player, and Moe as the page player. Find all pure-strategy Nash equilibria.