This puzzle also exists in a transfinite version, where the two players converge on the correct solution but require longer than infinity for the process: http

This puzzle also exists in a transfinite version, where the two players converge on the correct solution but require longer than infinity for the process: http://jdh.hamkins.org/cheryls-rational-gifts/ http://jdh.hamkins.org/cheryls-rational-gifts/