Brown and von Neumann introduced a dynamical system that converges to saddle points of zero sum games with finitely many strategies. Nash used the mapping underlying these dynamics to prove existence of equilibria in general games. The resulting Brown--von Neumann--Nash dynamics are a benchmark...

Recently there has been much work on learning in games. However, learning usually means learning about behavior of opponents rather than learning about the game as such. Here we test in an experiment whether players in a repeated encounter can learn the payoff structures of their opponents by...

This experiment was designed to test various learning theories in the context of a Cournot oligopoly. We derive theoretical predictions for the learning theories and test these predictions by varying the information given to subjects. The results show that some subjects imitate successful...

We report results of a series of experiments designed to test the stability of the best reply process. With linear demand and cost functions, the process is stable if and only if there are less than three firms in the market. However, we find no experimental evidence of such instability in a...

In this note we apply the notion of absent-mindedness (see Piccione and Rubinstein, 1994), which is a form of imperfect recall, to Rosenthal's (1981) centipede game. We show that for standard versions of the centipede game a subgame perfect equilibrium exists in which play is continued almost to...

Recently there has been much work on learning in games. However, learning usually means "learning about behavior of opponents" rather than "learning about the game" as such. Here we test in an experiment whether players in a repeated encounter can learn the payoff structures of their opponents...

The study of evolutionary dynamics was so far mainly restricted to finite strategy spaces. In this paper we show that this unsatisfying restriction is unnecessary. We specify a simple condition under which the continuous time replicator dynamics are well defined for the case of infinite strategy...

We show that for many classes of symmetric two-player games, the simple decision rule "imitate if-better'' can hardly be beaten by any strategy. We provide necessary and sufficient conditions for imitation to be unbeatable in the sense that there is no strategy that can exploit imitation as a...

Two partners try to dissolve a partnership that owns an asset of ambiguous value, where the value is determined ex post by a draw from an Ellsberg urn. In a within-subject experiment, subjects make decisions in three different bargaining mechanisms: unstructured bargaining, the Texas shoot-out,...

Robo-advisors are novel tools in financial markets that provide investors with low-cost financial advice, usually based on individual characteristics like risk attitudes. In a portfolio choice experiment running over 10 weeks, we study how much investors benefit from robo advice. We also study...