Game Theory Problem Of The Week

[mykey1961]

[ QUOTE ]
If player 1 checks with [12-78] , then there is nothing player 2 can do to increase his EV . So I don't see a point in player 1 check-calling with [57-100] since he should be indifferent to betting or checking with [12-78] .

[/ QUOTE ]

The point is P1 [57,100] is optimal against the whole range of P2 opponents that are, or are not optimal.

Optimal does not mean maximal.

The question is how to prove it.