Foxholer
Blackballed
Since starting this thread I have read opinions with interest and see valid points on both sides of the argument. What I don't understand is how agreeing to play each other in a strokeplay format is not in the spirit of the game but a coin toss is. Surely the spirit of the game is only served by playing the game.
As I stated earlier, if it's purely to get a result - and the Conditions of Competition allow it - then any method - including picking which slug will make the longest trail, tossing a coin or who has the best score in the Strokeplay comp - is acceptable. But that's different from what was described in the OP - playing Strokeplay and Matchplay in the 1 round! That is specifically prohibited by Rules of Golf (33/1) - Matchplay result being null and void and both competitors being DQ-ed from the Strokeplay comp.
