Solution of Traveler’s Dilemma

Autor

DOI:

https://doi.org/10.29015/cerem.502

Słowa kluczowe:

game theory, Traveler's dilemma, perfectly rational player, backward induction

Abstrakt

In game theory The Traveler’s Dilemma (TD), devised by Kaushik Basu, is a paradox, inter alia, because the solution considered in theory as rational turns out worse than the results achieved in experiments. Perfectly rational players should apply a backward induction in their reasoning.

This paper aims to:

1) prove that backward induction cannot be applied in TD, as in this case it is bad reasoning,

2)  present the reasoning which perfectly rational players should adopt and define a rational decision in TD. It will turn out that this is no longer different from the decisions resulting from experiments. This paper addresses the problem to the players who:

1)                           are perfectly rational in striving for the best possible  result for themselves,

2)                           both know that they are playing against with a perfectly rational player,

3)                           play the game only once with a particular player.

Bibliografia

Basu K. On the Nonexistence of Rationality Definition for Extensive Games. International Journal of Game Theory” 1990, vol 19. 33-44

Basu K. The Traveler Dilemma: Paradoxes of Rationality In Game Theory. “American Economic Review”. 1994, 84(2), 391-395.

Basu K. Dylemat podróżnika. “Świat Nauki” (polish edytion “Scientific American”) VII 2007, 7(191). 72-77.

Becker T.,Carter M., Naeve J. Experts Playing the Traveler’s Dilemma. Working Paper 2005, nr 252, Institute for Economics, Hohenheim Uniwersity. ftp://ftp.repec.org/opt/ReDIF/RePEc/hoh/papers/252.pdf

Capra M., Goeree J., Gomez R., and Holt C.. Anomalous Behavior in a Traveler’s Dilemma? “American Economic Review” 1999 89(3), 678-690.

Rubinstein A. „Instinctive and Cognitive Reasoning : A Study of Response Times.” http://www.arielrubinstein.tau.ac.il/papers/Response.pdf

Wolpert, D, Jamison J., Newth D., Harre M. Strategic Choice of Preferences: The Persona Model. “Santa Fe Institute Working Paper” 2011. http://www.santafe.edu/media/workingpapers/11-08-030.pdf

Opublikowane

2018-09-27

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