Tic tac toe varients

My form of tic tac toe plays very similar to the original game, but with more chance and mind games involved.

Each player gets a set number of dice to play with: we play tested with 6 each, but think there should be as many as 10. You can gamble any number of these dice on a square, but you don't get more dice than you start out with. After you run out of dice, you roll half rolls, or a 3 sided die.

When you want to claim a space on the board, you state which space you want. You and your opponent (defender) then secretly choose how many dice you are going to roll. You reveal them at the same time, and then roll for the square. Ties result in the "attacking" player to win. 

To win you get 3 in a row.

 Because of the element of chance that dice bring to the game, games vary drastically. Sometimes the board can be filled with one lucky opponents symbols. Sometimes a 3 dice bet can lose to a 1 dice bet. sometimes you can try to make your opponent think you want a square, and trick them into gambling their dice, when in fact you just want them to waste their dice so you can claim the one you really want without opposition. 

We played with the idea of winning dice back, but were unable to decide in a fair way to do this