John Nash

mathematician · 6 mentions across 1 reading

In this course

John Nash, the mathematician who formulated Nash equilibrium in game theory, appears here as a baseline predictive model against which cognitive hierarchy approaches are measured. The readings use Nash's equilibrium concept as a touchstone for evaluating how well formal game-theoretic predictions match actual human behavior in experimental settings, with cognitive hierarchy models often outperforming or approximating Nash's predictions depending on the complexity of the game. His work anchors the quantitative comparison between rationality-based theory and bounded rationality models in strategic interaction.

Mentioned in 1 reading

Colin F. Camerer, Teck-Hua Ho, et al.

A Cognitive Hierarchy Theory of Games

A COGNITIVE HIERARCHY MODEL 879 TABLE IV MODEL FIT (LOG-LIKELIHOOD LL AND MEAN SQUARED DEVIATION MSD) | Data set | Stahl and Wilson | Cooper and Van Huyck | Costa-Gomes et al. | Mixed | Entry | | :--- | :---: | :---: | :---: | :---: | :--…A graphical comparison of how much the theories’ predictions deviate from the data gives a quick snapshot of how accurate they are. Each point in Figures II–III represents a distinct strategy in Caption: FIGURE II Mean Absolute Deviation fo…The graphs enable us to answer an important question visually: when the Nash predictions are good approximations, is Poisson-CH almost as accurate? The answer appears to be yes, because there are few points with low Nash deviations and high…

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Appears alongside

People mentioned in the same passages — sorted by co-occurrence weight.

Miguel Costa-Gomes 3 Robert Wilson 3 Siméon Denis Poisson 2 John B. Van Huyck 2 Russell Cooper 2 Dale Stahl 2 Georg Wilhelm Friedrich Hegel 1 Plato 1 Dale O. Stahl 1 David Cooper 1 John Van Huyck 1 Costa-Gomes, Crawford, and Broseta 1