## Superior Beings. If They Exist, How Would We Know?: Game-Theoretic Implications of Omnipotence, Omniscience, Immortality, and IncomprehensibilityThe same is true of applications of game theory to history, philosophy religion, and the other humanities. In particular, I know of no attempts to apply game theory to the kinds of p- losophy-of-religion and theology questions that I explored in Superior Beings, By contrast; the nexus between science and religion has been thoroughly analyzed using other methods of inquiry as evidenced by Charles L. Harper Jr (ed. ), Spiritual Information: 100 Perspectives on Science and Religion (West Conshohocken, PA: Templeton Foundation Press, 2006), a huge collection put together in honor of Sir John Templeton's ninetieth birthday Sir John, through the Templeton Foundation, is the primary propo nent and the major benefactor of studies in science and religion today How science and religion are (or are not) connected is, of course, an old subject. It is also a controversial one, extending at least from Galileo's trial in 1633 to the teaching of evolution today. While game theory is a mathematical theory, Superior Beings is emphatically not a scientific work, wherein a theory is tested. Rather, it is an attempt to interpret and explain important philo sophical, religious, and theological questions in terms of the rational choices of ordinary human beings, who are assumed to play games with a superior being. The game theory I use is nonstandard. |

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assumptions behavior believe beneﬁt best outcome better outcome Brams Chapter Chicken choice rule choose his second column Commitment Game compromise conditional cooperation conﬁrmed cycling deception deﬁned deﬁnition deterrent threat Dilemma dominant strategy ensure expected payoff expected utility ﬁgure ﬁnal outcome ﬁrst strategy fourth Knowability Game Game Fig Game in Fig game of total game theory game tree game-theoretic goals God's immortality implement incentive induce inﬁnite initial outcome kind of power M-power mixed strategy moves and countermoves Nash equilibrium Newcomb’s problem nonmyopic equilibrium obtain his best omnipotence ordinal games Outcome Matrix paradox of omniscience Pareto-superior Pascal's wager payoff matrix predict preferences Prisoners problem of evil Punishment Game rank rational choices Rational Termination repeated play Revelation Game rules of play S-power outcome SB's existence SB’s second strategy sequential game Speciﬁcally strat strategy choices superior symmetrical game Testing Game theory of moves threat outcome Truth Game two-person game undecidable unknowable worst outcome