Reinhard Selten and Game Theory

Reinhard Selten

Reinhard Selten

On October 5, 1930German economist and Nobel Laureate Reinhard Selten was born. Selten is well known for his work in bounded rationality and can be considered as one of the founding fathers of experimental economics. For his work in game theory, Selten won the 1994 Nobel Memorial Prize in Economic Sciences (shared with John Harsanyi and John Nash).

Reinhard Selten was born in Breslau and after a brief family exile in Saxony and Austria, Selten returned to Hesse, Germany after the war. It is believed that there he read an article in the Fortune magazine on game theory by John D. McDonald. At Goethe University Frankfurt, Selten began to study mathematics and earned his degree in 1957. After his studies, Selten worked as scientific assistant to Heinz Sauermann and Selten received his doctorate in Frankfurt in mathematics with a thesis on the evaluation of n-person games.

At the Berkeley, Free University of Berlin and the University of Bielefeld Selten became visiting professor and he later was appointed professor at the University of Bonn. In Bonn, Selten established the BonnEconLab, a laboratory for experimental economic research. There he built the BonnEconLab, a laboratory for experimental economic research, on which he has been active even after his retirement.

It is believed that the earliest efforts in game theory were made during the 18th century by Charles Waldegrave. Later on, James Madison created what is now recognized as a game-theoretic analysis of the ways states can be expected to behave under different systems of taxation. In 1838, Antoine Augustin Cournot considered a duopoly and presents a solution that is a restricted version of the Nash equilibrium. Ernst Zermelo’s work on optimal chess strategies from 1913 then paved the way for more general theorems.

However, until John von Neumann published a paper on the topic in 1928, game theory had not really been a unique field. In 1944, he published his book Theory of Games and Economic Behavior which was co-authored by Oskar Morgenstern. The second edition of this book provided an axiomatic theory of utility, which reincarnated Daniel Bernoulli’s old theory of utility as an independent discipline. The prisoner’s dilemma was discussed mathematically for the first time in 1950 and an experiment was undertaken by notable mathematicians Merrill M. Flood and Melvin Dresher. Back then also John Nash developed a criterion for mutual consistency of players’ strategies, known as Nash equilibrium, applicable to a wider variety of games than the criterion proposed by von Neumann and Morgenstern. He proved that every n-player, non-zero-sum non-cooperative game has what is now known as a Nash equilibrium.

In 1965, Reinhard Selten managed to introduce his solution concept of subgame perfect equilibria, which further refined the Nash equilibrium. For his work, Selten won the 1994 Nobel Memorial Prize in Economic Sciences, it was shared with John Harsanyi and John Nash. Reinhard Selten was Germany’s first and, at the time of his death in 2016, only Nobel winner for economics.

Selten is further known for his work in bounded rationality, and can be considered as one of the founding fathers of experimental economics. Along with the psychologist Gerd Gigerenzer he edited the 2001 book Bounded Rationality: The Adaptive Toolbox. His last work was Impulse Balance Theory and its Extension by an Additional Criterion.

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