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Part of the book series: Theory and Decision Library ((TDLU,volume 37))

Abstract

Classical game theory used only objective probabilities (for characterizing random moves and mixed strategies). Subjective probabilities were first introduced in modelling Cames with incomplete information. More recently, Reinhard Selten and the present writer have used subjective probabilities in our solution theory for noncooperative games. The paper will discuss some of the methodological problems associated with this work. It will also comment on the economic meaning of von Neumann-Morgenstern utility functions.

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References

  • Anscombe, F.J. and R.J. Aumann: 1963, ‘A Definition of Subjective Probability’, Annals of Mathematical Statistics 34, 199–205.

    Article  Google Scholar 

  • de Finetti, B.: 1937, ‘La prévision: ses lois logiques, ses sources subjectives’, Annals de l’Institut Henri Poincaré 7, 1–68.

    Google Scholar 

  • Engelbrecht-Wiggans, R.: 1980, ‘Auctions and Bidding: A Survey’, Management Science 26, 119–142.

    Google Scholar 

  • Harsanyi, J.C.: 1967–68, ‘Games with Incomplete Information Played by “Bayesian” Players’, Parts I-III,Management Science 14, 159–182, 320–334 and 486–502.

    Google Scholar 

  • Harsanyi, J.C.: 1975, ‘The Tracing Procedure’, International Journal of Game Theory 4, 61–94.

    Article  Google Scholar 

  • Harsanyi, J.C.: 1977, Rational Behavior and Bargaining Equilibrium in Games and Social Situations, Cambridge University Press, Cambridge, England.

    Google Scholar 

  • Harsanyi, J.C.: 1978, ‘Bayesian Decision Theory and Utilitarian Ethics’, American Economic Review 68, 223–228.

    Google Scholar 

  • Harsanyi, J.C.: 1981, ‘Solution for Some Bargaining Games Under the Harsanyi-Selten Solution Theory’, Parts I-II, Working Papers CP-431 and 432, Center for Research in Management, University of California, Berkeley, California 94720, U.S.A.

    Google Scholar 

  • Luce, R.D. and H. Raiffa: 1957, Games and Decisions, Wiley, New York.

    Google Scholar 

  • Nash, J.F.: 1951, ‘Non-cooerative Games’, Annals of Mathematics 54, 286–295.

    Article  Google Scholar 

  • Ramsey, F.P.: 1931, The Foundations of Mathematics and Other Logical Essays, Kegan Paul, London.

    Google Scholar 

  • Savage, L.J.: 1954, The Foundations of Statistics, Wiley, New York.

    Google Scholar 

  • Selten, R.: 1975, ‘Reexamination of the Perfectness Concept for Equilibrium Points in Extensive Games’, International Journal of Game Theory 4, 25–55.

    Article  Google Scholar 

  • von Neumann, J. and O. Morgenstern: first edition 1944, second edition 1947, Theory of Games and Economic Behavior, Princeton University Press, Princeton; N.J..

    Google Scholar 

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© 1983 Springer Science+Business Media Dordrecht

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Harsanyi, J.C. (1983). Use of Subjective Probabilities in Game Theory. In: Stigum, B.P., Wenstøp, F. (eds) Foundations of Utility and Risk Theory with Applications. Theory and Decision Library, vol 37. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1590-4_16

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  • DOI: https://doi.org/10.1007/978-94-017-1590-4_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-8364-7

  • Online ISBN: 978-94-017-1590-4

  • eBook Packages: Springer Book Archive

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