Uncertainty in the Traveler's Dilemma
The paper analyzes a perturbation on the players’ knowledge of the game in the traveler’s dilemma, by introducing some uncertainty about the range of admissible actions. The ratio between changes in the outcomes and the size of perturbation is shown to grow exponentially in the range of the given game. This is consistent with the intuition that a wider range makes the outcome of the traveler’s dilemma more paradoxical. We compare this with the growth of the elasticity index (Bavly (2011)) of this game.
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- Gilad Bavly, 2011. "Elasticity of Games," Discussion Paper Series dp592, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
- Abraham Neyman, 1999. "Cooperation in Repeated Games when the Number of Stages is Not Commonly Known," Econometrica, Econometric Society, vol. 67(1), pages 45-64, January.
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