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2014 | 12(18) | 285-312

Article title

Racjonalność, konflikty i teoria gier w życiu i pracy Roberta J. Aumanna (Nagroda Imienia Nobla w Dziedzinie Ekonomii, 2005)

Content

Title variants

EN
Rationality, conflicts and game theory in the life and career of Robert J. Aumann (Nobel Prize in Economic Sciences, 2005)

Languages of publication

PL EN

Abstracts

EN
Robert J. Aumann received the Nobel Prize in Economic Sciences in 2005 for his work on conflict and cooperation through game-theory analysis. The best known of his achievements is the concept of correlated equilibrium. He is also famous, not only among scientists, for his attempts to apply mathematical results to real political conflicts. The paper presents the sketch of main ideas of Aumann’s, including common knowledge and rationality, theorem considering Nash equilibria in iterated games, correlated equilibrium and theorem related to “agreeing to disagree”. There is also mentioned a very interesting problem of “how the Talmud divides an estate among creditors”, solved by Aumann. Moreover, the personal profile of Aumann is presented, as a man and as a political figure.

Contributors

References

  • Anscombe F.J., Aumann R.J., A definition of subjective probability, „Annals of Mathematical Statistics” 1963, Vol. 34, s. 199–205.
  • Aumann R.J., Markets with a continuum of traders, „Econometrica” 1964, Vol. 32, s. 39–50.
  • Aumann R.J., Subjectivity and correlation in randomized strategies, „Journal of Mathematical Economics” 1974, Vol. 1, s. 67–96.
  • Aumann R.J., Agreeing to disagree, „The Annals of Statistics” 1976, Vol. 4, s. 1236–1239.
  • Aumann R.J., Correlated equilibrium as an expression of Bayesian rationality, „Econometrica” 1987, Vol. 55, s. 1–18.
  • Aumann R.J., Letter from Robert Aumann to Leonard Savage, 8 January 1971, [w:] R.J. Aumann, Collected Papers, Vol. 1, MIT Press, Cambridge, MA, 1997, s. 305–306.
  • Aumann R.J., Maschler M., Game theoretic analysis of a bankruptcy problem from the Talmud, „Journal of Economic Theory” 1985, Vol. 36, s. 195–213.
  • Aumann R.J., Maschler M., Repeated Games with Incomplete Information, MIT Press, 1995.
  • Aumann R.J., Maschler M., Stearns R., Repeated games of incomplete information: an approach to the non-zero sum case, [w:] Report of the U.S. Arms Control and Disarmament Agency ST-143 1968, Chapter IV, s. 117–216.
  • Axelrod R., The Evolution of Cooperation, Basic Books, New York 1984.
  • Dunbar R., The Human Story, Faber and Faber, London 2004.
  • Hart S., An Interwiev with Robert Aumann, [w:] P.A. Samuelson, W.A. Barnett (red.) Inside the Economist’s Mind: Conversations with Eminent Economists, John Wiley & Sons, 2009.
  • Kahneman D., Pułapki myślenia. O myśleniu szybkim i wolnym, Media Rodzina, Poznań 2012.
  • Luce R.D., Raiffa H., Games and Decisions: Introduction and Critical Survey, Courier Dover Publications, 1957.
  • Malawski M., Wieczorek A., Sosnowska H., Konkurencja i kooperacja. Teoria gier w ekonomii i naukach społecznych, Wydawnictwo Naukowe PWN, Warszawa 2004.
  • Monko-Ejgenberg T., Prof. Aumann i polityka zagraniczna Izraela, 2007, http://www.jewish.org.pl/index.php/pl/opinie-komentarze-mainmenu-62/3007-prof-aumann-ipolityka-zagraniczna-izraela-.html.
  • Nasar S., Piękny umysł, MUZA, Warszawa 2002.
  • Savage L., The Foundations of Statistics, Dover, Mineola, NY, 1954.
  • Schecter S., How the Talmud divides an estate among creditors, [w:] T. Bourama i in., Bridging Mathematics, Statistics, Engineering and Technology, Springer, New York 2012, s. 29–42.
  • Trivers R., The Folly of Fools: The Logic of Deceit and Self-Deception in Human Life, Basic Books, New York 2011.
  • Tversky A., Kahneman D., Judgment under uncertainty: Heuristics and biases, „Science” 1974, Vol. 185, s. 1124–1131.

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.desklight-a155dbca-14d2-4543-afee-44985ab84499
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