Solving a Game when Rationality Is Common Knowledge Man in Black: All right: where is the poison? The battle of wits has begun. It ends when you decide and we both drink and find out who is right and who is dead. Vizzini: But it’s so simple. All I have to do is divine from […]
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Experimental Results in the Boxed-Pigs Game Experimental Results in the Boxed-Pigs Game. The Graphs Record the Average Number of Presses of the Lever (After 10 Trials) During a 15-Minute Period by Dominant and Subordinate Animals After 24 Hours Without Food when Tested (a) Separately and (b) Together 0 1 5 10 105 Tests (a) (b)
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The large pig does not have a dominant strategy. The large pig does not have a dominant strategy. It prefers to wait at the dis- penser if the small pig is going to press the lever, but it prefers to press the lever if the small pig is going to wait at the dispenser. If
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SITUATION: BOXED-PIGS GAME While this book aims to show how game theory can be used to understand human behavior, it can explain the behavior of lesser animals as well (which we explore more fully in Chapters 16 and 17). Let’s consider an experiment in which two pigs—one large and one small—are placed in a cage.
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There is no dominant strategy for Man. If God intends to reveal Her existence, then Man wants to believe in God. If God does not intend to reveal Her existence, then Man doesn’t want to believe in God. Knowing that Man is rational isn’t enough to tell us what Man will do. In contrast, God
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What will God do and what will Man do in that instance? There have been many critiques of Pascal’s wager. Can one really “choose” one’s beliefs? Does God reward beliefs as opposed to actions? Should belief in God be based, not on faith or love, but on the cold, calculating logic of wagers? But this
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Should belief in God be based, not on faith or love, but on the cold, calculating logic of wagers? There have been many critiques of Pascal’s wager. Can one really “choose” one’s beliefs? Does God reward beliefs as opposed to actions? Should belief in God be based, not on faith or love, but on the
Does God reward beliefs as opposed to actions? There have been many critiques of Pascal’s wager. Can one really “choose” one’s beliefs? Does God reward beliefs as opposed to actions? Should belief in God be based, not on faith or love, but on the cold, calculating logic of wagers? But this is not a text
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SITUATION: EXISTENCE-OF-GOD GAME It is as impossible for man to demonstrate the existence of God as it would be for Harry Potter to demonstrate the existence of J. K. Rowling. —AN UPDATING OF A QUOTE BY FREDERICK BUECHNER Philosophers have wrestled with the issue of whether God exists for a very long time. One of
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Team-Project Game with a Nerd and a Frat Boy 0,1 2,2 1,2 2,3 3,4 4,3Frat boy Nerd Low Moderate High Low Moderate High 6,3 3,5 5,4 FIGURE 3.12 Team-Project Game with a Frat Boy and a Sorority Girl 0,0 2,1 1,2 2,6 3,5 4,4Frat boy Sorority girl Low Moderate High ModerateLow High 6,2 3,3 5,3
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