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.