The type of a player determines that player's payoff function and the probability associated with the type is the probability that the player for whom the type is specified is that type.
The probability associated with a type is the probability that the player, for whom the type is specified, is that type. The type of a player determines that player's payoff function.
The type of a player determines that player's payoff function. The probability associated with a type is the probability that the player, for whom the type is specified, is that type.
The type of a player determines that player's payoff function. The probability associated with a type is the probability that the player, for whom the type is specified, is that type.