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Synthese

, Volume 86, Issue 2, pp 197–208 | Cite as

Some versions of Newcomb's Problem are Prisoners' Dilemmas

  • Jordan Howard Sobel
Article

Abstract

I have maintained that some but not all prisoners' dilemmas are side-by-side Necomb problems. The present paper argues that, similarly, some but not all versions of Newcomb's Problem are prisoners' dilemmas in which Taking Two and Predicting Two make an equilibrium that is dispreferred by both the box-chooser and predictor to the outcome in which only one box is taken and this is predicted. I comment on what kinds of prisoner's dilemmas Newcomb's Problem can be, and on opportunities that results reached may open for kinds of ‘cooperative reasoning’ in versions of Newcomb's Problem.

Keywords

Cooperative Reasoning 
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References

  1. Campbell, R. and L. Sowden: 1985, Paradoxes of Rationality and Cooperation: Prisoner's Dilemma and Newcomb's Problem, Vancouver University Press, Vancouver.Google Scholar
  2. Gardner, M.: 1973, ‘Mathematical Games: Free Will Revisited, with a Mind-bending Prediction Paradox by William Newcomb’, Scientific American, July. For a report by Robert Nozick on letters to Scientific American about this column, see ‘Mathematical Games’ for March 1974.Google Scholar
  3. Gibbard, A. and W. L. Harper: 1978, ‘Counterfactuals and Two Kinds of Expected Utility’, in Hooker et al. (eds.), Foundations and Applications of Decision Theory 1, 125–62. (Reprinted with abridgement in Campbell and Sowden 1985: pp. 133–58.)Google Scholar
  4. Hurley, S. L.: 1989, Natural Reasons: Personality and Polity, Oxford University Press, New York.Google Scholar
  5. Jeffrey, R. C.: 1981, ‘The Logic of Decision Defended’, Synthese 48, 473–92.Google Scholar
  6. Jeffrey, R. C.: 1983, The Logic of Decision, second edition, Chicago University Press, Chicago.Google Scholar
  7. Luce, R. D. and H. Raiffa: 1957, Games and Decisions: Introduction and Critical Survey, Wiley, New York.Google Scholar
  8. Lewis, D.: 1979, ‘Prisoners' Dilemma Is a Newcomb Problem’, Philosophy and Public Affairs 8, 251–55 (reprinted in Campbell and Sowden 1985: pp. 251–55).Google Scholar
  9. Nozick, R.: 1969, ‘Newcomb's Problem and Two Principles of Choice’, in N. Rescher et al. (eds.) Essays in Honor of Carl G. Hempel, Reidel, Dordrecht, pp. 114–46 (reprinted with abridgment in Campbell and Sowden 1985, pp. 107–33).Google Scholar
  10. Setlen, R. and Leopold, U.: 1982, ‘Subjective Conditionals in Decision and Game Theory’, in W. Stegmüller, W. Balzer, and W. Spohn (eds.), Studies in Contemporary Economics, Volume 2: Philosophy and Economics, pp. 191–200.Google Scholar
  11. Sobel, J. H.: 1985a, ‘Not Every Prisoner's Dilemma Is a Newcomb Problem’, in Campbell and Sowden, pp. 263–74.Google Scholar
  12. Sobel, J. H.: 1985b, ‘Circumstances and Dominance in a Causal Decision Theory’, Synthese 63, 167–202.Google Scholar
  13. Sobel, J. H.: 1985c, ‘Utilitarianism and Cooperation’, Dialogue 24, 137–52 [a critical notice of Donald Regan's Utilitarianism and Cooperation (Oxford, 1980)].Google Scholar
  14. Sobel, J. H.: 1985d, ‘Everyone's Conforming to a Rule’, Philosophical Studies 48, 375–87.Google Scholar
  15. Sobel, J. H.: 1987, ‘Kant's Moral Idealism’, Philosophical Studies 52, 277–87.Google Scholar
  16. Sobel, J. H.: 1988a, ‘Newcomb's Problem and Two Forms of Decision Theory’, in B. R. Munier (ed.), the appendix to “Metatickles, Ratificationism, and Newcomb-like Problems without Dominance”, Risk, Decision and Rationality, Reidel, Dordrecht, pp. 438–501.Google Scholar
  17. Sobel, J. H.: 1988b, ‘Maximizing, Optimizing, and Prospering’, Dialogue 27, 233–62.Google Scholar
  18. Sobel, J. H.: 1988c, ‘Infallible Predictors’, Philosophical Review 97, 3–24.Google Scholar
  19. Sobel, J. H.: forthcoming. ‘Newcomb Problems’, Midwest Studies: The Philosophy of the Human Sciences 15.Google Scholar
  20. Talbott, W. J.: 1987, ‘Standard and Non-standard Newcomb Problems’, Synthese 70, 415–58.Google Scholar

Copyright information

© Kluwer Academic Publishers 1991

Authors and Affiliations

  • Jordan Howard Sobel
    • 1
  1. 1.Scarborough CollegeUniversity of TorontoScarboroughCanada

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