This is the second in the series.
Rhymester and Vaknso play a game, assisted by one Red Hot Ted. First, it should be mentioned that if Red Hot Ted exhibits any favouritism, his neck will be royally wrung like a chicken. Thank you
. First, Rhymester and Red Hot Ted each secretly bet some percentage of their hard-won moves (>0). Now, Red Hot Ted writes down an integer between 1 and six inclusive, and does not show it to the other players. Rhymester than rolls one fair 6-sided die, and writes down his result, which is unknown to Vaknso. Vaknso, with no information, now has the option of eith rolling the same die, or abstaining from rolling. If he rolls, then his number is compared to Rhymester's, and the closest one wins all of the bet moves. If they tie, they each take HALF of the total. If Vaknso abstains, they each take HALF of the total. (Note that there is a subtle advantage to betting less than one's opponent, but bets are SECRET.) What is the optimum strategy for Vaknso, and what results does it yield in a large number of rounds?