Dividing 5 Stones playing the games ABABA, ABABB, and ABBAB.

Five stones, shown in the middle row, are to be divided between two players, Ann and Beth. The values Ann and Beth assign to the stones are shown above, respectively below the stones. In the "00" version, Ann's and Beth's values add up to 100, in the "0000" version they add up to 10000. The upper (initially empty) row shows stones that Ann got, and the lower row shows stones Beth got.

Values are created (randomly) by clicking the buttons "random00" respectively "random0000" (for the two versions explained above. But you can also input 10 numbers into the values fields and click the "read0000" or "read0000" button. The values are automatically rescaled for the two versions. You can also choose 3 sets of predefined values with the other three buttons.

On the left, the red background indicates the player who is supposed to take the next stone from the middle row. A stone is taken by clicking on it. The sums of the stone's values for Ann and Beth they presently have are shown as "total".

You can play one of the three games "ABABA", "ABABB", or "ABBAB" by clicking these buttons. If the player supposed to move needs a hint from the (clever) computer, click the "hint" button to the left. If you want to play again with the same values, click the game buttons ("ABABA" ...) again.

Game played:

Ann
chooses:
total:
Ann's values
Beth's values
Beth
chooses:
total:

Erich Prisner, 2012