Game Theory Problem Of The Week

[jay_shark]

For this week's game theory problem we will take a look at another situation .

There are two players who pick numbers from 1-100 without replacement . Each player posts a $1 ante but player one must always check even though he's first to act . Player two has the option of betting the pot or checking behind . Given this knowledge , what strategy must player two employ to maximize his EV ?

We may make the assumption that player one and two are playing optimally aside from the stipulation placed on player one .