Based on the given information, we can determine that the defense man is Mats. Let's break down the clues:

1. The winger lives halfway between Cornwall and Delhi.
2. The winger's nearest neighbour, and one of his teammates, earns exactly three times as much as the winger.
3. Mats beats the goalie at bocce.
4. The teammate, whose name is the same as the winger, lives in Cornwall.

From clue 1, we know that the winger lives in a city that is the average of the distances between Cornwall and Delhi. 
This means the winger lives in a city that is 185 kilometers away from both Cornwall and Delhi.

From clue 2, we know that the winger's nearest neighbour earns three times as much as the winger. 
Since Jason earns $20,000 per game, his nearest neighbour earns $60,000 per game.

From clue 3, we know that Mats beats the goalie at bocce. 
This means that Mats is not the goalie.

From clue 4, we know that the teammate, whose name is the same as the winger, lives in Cornwall. 
This means that the winger's nearest neighbour lives in Cornwall.

Combining all of this information, we can conclude that the winger lives in Cornwall, and his nearest neighbour is Andrew, who lives in Delhi and earns $60,000 per game. 
Since Mats is not the goalie and is not the winger, he must be the defense man.

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