! ! ! ! ! Ned Stark’s and Littlefinger’s Dilemma Concepts: Trust in the Prisoner’s Dilemma Illustration: Game of Thrones, season 1 (2011); episode 7: You win or you die ! When King Robert Baratheon died, his young son Joffrey hurried to claim the vacant throne before the King’s brother Stannis Baratheon returns from Dragonstone. Eddard Stark, who was Robert Baratheon’s hand and the Protector of the Realm, wanted to stop Joffrey and secure the throne for Lord Stannis. ! Ned Stark was approached by Littlefinger, Master of Coin (the literature’s expression for today’s minister of finance), who proposed him to support Joffrey because he would be easy to manipulate. This would ensure a government wherein the Starks could rule together with the Lannisters, but in which Littlefinger would have an influential position. ! Ned Stark turned down this proposal, explaining that the throne is reserved for the rightful hair—Lord Stannis. He then suggested Littlefinger to help him remove Joffrey who already captured the throne by employing Golden Cloaks, a city watch troops which are financed by Littlefinger. Littlefinger accepted the proposal, and he and Ned found themselves in a Prisoner’s Dilemma. (The whole scene can be viewed here.) ! The situation can be presented in the following matrix: ! ! ! ! ! 1 ! ! ! ! ! ! ! ! ! ! Littlefinger Ned Stark cooperates defects cooperates 2, 2 0, 3 defects 3, 0 1, 1 The payoffs are expressed in ordinal values: • 3 stands for getting closer to the throne by way of eliminating the other player; • 2 stands for mutual cooperation in which case both would not be as close to the throne as in the case of unilateral defection; • 1 stands for having to live under the ruler who does not like you; • 0 stands for death. ! This dilemma ended in a different way than usual, though. Usually, Prisoner’s Dilemma ends in an suboptimal position in which both players receive less than optimal payoffs ([1, 1] in this case). This happens because players are assumed to be instrumentally rational and aware of each other’s rationality. Same kind of rationality helps them avoid the sucker payoff ([0, 3] or [3, 0] in our example). They can also avoid both the suboptimal outcome and sucker payoffs. ! In our case situation is different because Ned is driven by different kind of rationality— honor and vengeance (components of die Wertrationalität in Max Weber’s vocabulary.) In contrast, Littlefinger is instrumentally rational (zweckrational). He knew that under Stannis he would have received smaller prize than under the Lannisters. Toward the end of episode 7, Littlefinger set Lord Stark up by paying the Golden Cloaks to kill his men and turn him to Joffrey. Joffrey ulitimately rewarded Littlefinger by naming him the Lord of Harrenhal, the biggest Castle in the Realm, with all the attendant lands and incomes. ! This version of Prisoner’s Dilemma underlines not only the importance of trust between players, but also the importance of, as it were, the same kind of trust. Players can make Pareto improvement only if they trust each other about the same thing. Littlefinger had no interest to support Stark’s plan because he was rational in a different way. To him, Stark was fair game—he had to trust Littlefinger because he was loyal to the late king and had no army to remove Joffrey by himself. When the other player cannot be trusted, the first player receives sucker payoff, which is exactly what happened to Eddard Stark in the end of the season. ! ! Copyright © 2014 Equilibrium outcome studio, inc. All rights reserved. 2
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