Research in experimental economics has cogently challenged the fundamental precept of neoclassical economics that economic agents optimize. The last two decades have seen elaboration of boundedly rational models that try to move away from the optimization approach, in ways consistent with experimental findings. Nonetheless, the collection of alternative models has made little headway supplanting the dominant paradigm. We delineate key ways in which neoclassical microeconomics holds continuing and compelling advantages over bounded-rationality models, and suggest, via a few examples, the sorts of further, difficult pushes that would be needed to redress this state of affairs. Closer collaboration between theoretic modeling and experiments is clearly seen to be necessary.

Five stationary concepts for completely mixed 2x2-games are experimentally compared: Nash equilibrium, quantal response equilibrium, action-sampling equilibrium, payoff-sampling equilibrium (Martin J. Osborne and Ariel Rubinstein 1998), and impulse balance equilibrium. Experiments on 12 games, 6 constant sum games, and 6 nonconstant sum games were run with 12 independent subject groups for each constant sum game and 6 independent subject groups for each nonconstant sum game. Each independent subject group consisted of four players 1 and four players 2, interacting anonymously over 200 periods with random matching. The comparison of the five theories shows that the order of performance from best to worst is as follows: impulse balance equilibrium, payoff-sampling equilibrium, action-sampling equilibrium, quantal response equilibrium, Nash equilibrium.

Game theory, Duopoly supergame, Asymmetric Cournot duopoly

This is a reply to “Stationary Concepts for Experimental 2 X 2 Games: Comment” by Brunner, Camerer, and Goeree which corrects some computational errors in Selten and Chmura (2008) and extends the comparison of five stationary concepts to data from previous experimental studies. We critically discuss their new findings and relate them to the data of Selten and Chmura (2008). We conclude that the parametric concepts of action-sampling equilibrium and payoff-sampling equilibrium perform better than quantal response equilibrium, and that the non-parametric concept of impulse-balance equilibrium performs at least as well as quantal response equilibrium.