Before revision: represents the payoffs player i receives Player i's kindness to player j is given by: , where is player j's highest payoff and is player j's lowest payoff among points that are Pareto efficient is the worst possible payoff in the matrix for player j Player i's belief about how kind player j is being to him is given by: is player i's worst possible payoff , where is player j 's highest payoff and is player i's lowest payoff among points that are Pareto efficient The two functions above can now specify player's preferences.
After revision: represents the payoffs player i receives Player i's kindness to player i is given by: , where is player j's highest payoff and is player j's lowest payoff among points that are Pareto efficient is the worst possible payoff in the matrix for player j Player i's belief about how kind player j is being to him is given by: is player i's worst possible payoff , where is player j 's highest payoff and is player i's lowest payoff among points that are Pareto efficient The two functions above can now specify player's preferences.