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Portrait of Reinhard Selten
Photo: Tohma (talk), Own work · CC BY-SA 4.0 via Wikimedia Commons

Sveriges Riksbank Prize in Economic Sciences · 1994

Reinhard Selten

He gave economists a test for spotting empty threats, and helped make the laboratory a place to study how real people decide.

The Nobel citation: “for their pioneering analysis of equilibria in the theory of non-cooperative games”
Born
October 5, 1930, Breslau, Germany (now Wroclaw, Poland)
Died
August 23, 2016, Poznan, Poland
Shared with
John C. Harsanyi, John F. Nash Jr.
Affiliation at the time
Rheinische Friedrich-Wilhelms-Universität, Germany

Economics prize

1994

Shared with 2 other laureates.

Age that year

64years

Born in 1930.

Sources cited

21

Fact-checked September 24, 2026.

  • Classed as half-Jewish under the Nazis, he was forced out of high school at 14 and barred from learning a trade; only unskilled work was open to him.
  • Subgame perfection, the idea at the heart of his Nobel, was first defined in a 1965 oligopoly paper; he later wrote he never suspected it would be quoted almost only for that.
  • In 1984 he founded the BonnEconLab, which the University of Bonn describes as the oldest laboratory for experimental economics in Europe.
  • When he died in 2016, he was still the only German ever to have won the Nobel prize in economics.
  • The day his Nobel was announced, he came home from grocery shopping to a crowd of reporters and first helped his wife, a wheelchair user, into the house.

The breakthrough

Ruling out empty threats: subgame perfection and the trembling hand (1965, 1975)

Game theory studies situations where what is best for you depends on what others do, such as firms setting prices or governments making policy. John Nash had defined an equilibrium: a set of choices in which no player can do better by changing course alone. The trouble is that many games have several such equilibria, and some rest on bluffs. Imagine the only shop in town telling a would-be rival: open next door and I will slash my prices until we both lose money. If the rival believes this and stays away, the threat never has to be carried out, so on paper it works. But if the rival did open, a price war would hurt the shop too, so it would likely back down. The threat is empty. In a 1965 paper on competition among a few firms, Selten proposed a test called subgame perfection: a sound prediction must still make sense at every later stage of the game, including stages reached only if someone calls the bluff. It is like checking a chess plan by looking ahead and then reasoning backward from the end, instead of trusting a threat you would never actually carry out. In 1975 he added a sharper test, the trembling hand: a good strategy should still hold up if players now and then make small mistakes. Together these ideas let economists weed out predictions built on threats and promises that no one would keep.[1],[3],[4],[10],[14]

“My situation as a member of an officially despised minority forced me to pay close attention to political matters very early in my life.”
Reinhard Selten, On growing up half-Jewish in Nazi Germany, in the autobiography he wrote for the Nobel Foundation in 1994.[1]

What it meant for humanity

Selten's ideas work behind the scenes. They did not cure a disease or build a machine; they changed how experts reason about situations in which credibility matters. The Royal Swedish Academy of Sciences called subgame perfection the most fundamental refinement of Nash equilibrium and pointed to its direct use in debates about whether economic policy is credible, in the study of markets with only a few sellers, and in the economics of information. When economists ask whether a government's policy promise will be believed, or whether a dominant firm's threat to crush newcomers is real, they apply his test. His 1978 chain store paradox showed that, by strict logic, a chain should not be able to scare off rivals with price wars; the Academy's 2020 prize explanation describes how later work built on that puzzle to model reputations in predatory pricing and price wars. Selten also helped build a second field, experimental economics. When he and Heinz Sauermann ran their oligopoly experiment in the late 1950s, he wrote, no such field yet existed. In 1984 he founded the Bonn Laboratory for Experimental Economics, which the university describes as the oldest of its kind in Europe. Lab tests now help check how rules will work before they are used: before Britain's record 3G mobile-licence auction in 2000, Selten and colleagues tested the government's proposed designs for one of the bidders. The Nobel laureate Alvin Roth wrote that no one else had made such important and sustained contributions to both game theory and experimental economics. Selten's work also reached biology, where he studied evolutionary stability and, with a botanist, how bees pollinate flowers.

  • The Royal Swedish Academy of Sciences called subgame perfection the most fundamental refinement of Nash equilibrium, with direct use in judging whether economic-policy promises are credible.[3]
  • His 1975 paper introducing trembling-hand perfection has been cited more than 2,000 times in works indexed by Crossref.[14],[20]
  • In 1984 he founded the Bonn Laboratory for Experimental Economics (BonnEconLab), which the university describes as the oldest institution of its kind in Europe.[11],[21]
  • Nobel laureate Alvin Roth wrote in 1999 that no one else had made such important or sustained contributions to both game theory and experimental economics.[7]
  • Before Britain's 2000 auction of 3G mobile licences, which raised more than 22 billion pounds, Selten and colleagues tested the government's proposed auction designs in the laboratory.[12]
  • Talks with biologists at Bielefeld led him into biological game theory, including evolutionary stability and, with botanist Avi Shmida, models of how bees pollinate flowers.[1]

Impact in numbers

Selten's contribution is a way of reasoning, so we record no quantified impact claim. Subgame perfection became the standard test for whether threats and promises are credible, used in the study of competition among a few large firms and of whether economic policy will be believed, and his laboratory work helped make experiments a normal part of economics. But no published study measures lives, people or dollars that can be traced to his refinements rather than to game theory as a whole and to the many people who applied it. The closest measurable outcome, government spectrum auctions, rests mainly on auction theory built on John Harsanyi's model of games with incomplete information, as the Academy explained in 2020; Selten's direct part was a lab test of British auction designs for one bidder and advice to a bidder in Germany. Crediting him with a share of that revenue would be guesswork. His lasting legacy is the Bonn laboratory he founded, which the university calls Europe's oldest for experimental economics, the students he trained, and his insistence that theories of rational choice be checked against how people really behave.

EconomyFundamental scienceMathematics

No number is given here on purpose. Some contributions cannot be counted honestly, and we would rather describe them than invent a figure.

The double edge

No direct harm is documented from Selten's work, which was mathematical theory and laboratory research. Three points deserve honest mention. First, game theory grew up partly around nuclear strategy: in the 1960s Selten belonged to a group of game theorists hired by the research firm MATHEMATICA for the US Arms Control and Disarmament Agency and worked on models of nuclear deterrence, though by his own account the group's work was of no practical use to the agency. Second, the auction economics his field made possible has critics. Germany's August 2000 auction of 3G mobile licences, in which Selten advised one of the bidding companies, raised about 50 billion euros; by 2002 two of the buyers, Quam and Mobilcom, had dropped their 3G plans, and the Badische Zeitung called the auction ruinous. Selten said the firms, like the whole market, had been very optimistic about the new technology. Third, his refinements assume perfectly rational players. Selten himself came to doubt that real people reason this way and argued that how people actually decide must be studied by experiment, not worked out from an armchair.

  • Minor

    Advice to a bidder in Germany's costly 3G auction

    In August 2000 mobile firms paid about 50 billion euros for German 3G licences. Selten advised one of the bidding companies. By late 2002 two buyers, Quam and Mobilcom, had abandoned their 3G plans, and the Badische Zeitung called the auction ruinous. Selten said the firms had shared the whole market's very optimistic view of the technology. His role was that of an adviser; he did not design the auction.[13]

  • Minor

    Cold War work on nuclear deterrence

    In the 1960s Selten joined game theorists hired by the research firm MATHEMATICA to work for the US Arms Control and Disarmament Agency, and he worked on models of nuclear deterrence. By his own account the agency got no practical use out of the group, though its members made real advances in theory.[1]

  • Minor

    Theory built on perfect rationality

    Subgame perfection and trembling-hand perfection describe how perfectly rational players would act. Selten called himself a 'methodic dualist' and spent much of his later career on bounded rationality, arguing that the way real people make economic decisions has to be discovered through experiments rather than reasoned out from an armchair.[1],[11]

Against the odds

Selten grew up in Breslau, home to about 20,000 Jews in 1933, a number that had halved by 1939. Under Nazi rule the community was destroyed: most of its synagogues and its schools were wrecked in November 1938, and from 1941 its members were forced into crowded 'Jew houses' and then deported, via camps in Silesia and directly to Auschwitz, Sobibor, Riga and Theresienstadt. By 1943 the community had shrunk to little more than Jews married to non-Jews and a few children. His father, blind since youth and with only three years of schooling, had built a magazine-lending business, but he had to sell it in the mid-1930s because Nazi rules shut Jews out of press-related trades. Nazi race law put people with one or two Jewish grandparents into a separate category, 'Mischlinge' ('mixed-race'), neither German nor Jewish, and Selten's parents had him baptized because of the political climate. His father died of illness in 1942, before the worst of the terror, but several other relatives became victims of the Holocaust. At 14 Selten was forced out of high school and barred from learning a trade. In 1945 the family escaped Breslau on one of the last trains out as Soviet troops advanced, and lived as refugees in Saxony, Austria and Hesse, where he worked as a farmhand until schools reopened. He later wrote that belonging to an officially despised minority taught him to trust his own judgment over propaganda and public opinion.

  • 1938

    Persecution

    In November 1938 most of Breslau's synagogues and its Jewish schools were destroyed. From 1941 the city's Jews were deported, and by 1943 the community had shrunk to little more than Jews married to non-Jews and a few children.[18]

  • —

    Discrimination

    In the mid-1930s his father was forced to sell his magazine-lending business because Nazi rules shut Jews out of press-related trades.[1],[6],[17]

  • —

    Persecution

    Under Nazi race law he was treated as half-Jewish, a 'Mischling'; his parents had him baptized a Protestant because of the political situation, but this did not protect him.[1],[6],[16]

  • —

    Family killed

    Several of his relatives were victims of the Holocaust. His father escaped that fate only because he died of a serious illness in 1942.[1]

  • 1944

    Discrimination

    At 14 he had to leave high school and was denied the chance to learn a trade; the only work open to him was unskilled labor.[1],[7]

  • 1945

    War

    With his mother and siblings he fled Breslau on one of the last trains as Soviet troops advanced, then lived as a refugee in Saxony, Austria and Hesse, working as a farm boy until schools reopened in 1946.[1],[6],[7]

Jewish background

Jewish fatherDistant from Jewish identity

Selten's father, Adolf Selten, was of Jewish origin but belonged to no religious community; his mother, Käthe Luther, was Protestant. His parents meant to let him choose a religion for himself, but under Nazi rule they had him baptized a Protestant. As a young man he left the church and stayed unattached to any religion. The Nazi state still treated him as half-Jewish, and he later described his youth as that of a member of an officially despised minority. Several of his relatives were victims of the Holocaust.[1],[6],[7]

Key dates

  1. October 5, 1930

    Born in Breslau, Germany (now Wrocław, Poland), to a Jewish father and a Protestant mother.[1],[2],[7]

  2. 1942

    His father, Adolf Selten, dies after a serious illness.[1],[7]

  3. 1944

    Treated as half-Jewish, he is forced out of high school at 14 and barred from learning a trade.[1],[7]

  4. 1945

    Escapes Breslau with his family on one of the last trains out; they live as refugees in Saxony, Austria and Hesse.[1],[6],[7]

  5. 1951

    Finishes high school in Melsungen, Hesse, and begins studying mathematics at the University of Frankfurt.[1]

  6. 1959

    Publishes an early economics laboratory experiment on oligopoly with Heinz Sauermann; marries Elisabeth Langreiner, whom he met through the Esperanto movement.[1],[11]

  7. 1961

    Earns a PhD in mathematics at Frankfurt, then attends a game theory conference at Princeton at Oskar Morgenstern's invitation.[1]

  8. 1965

    Defines subgame perfection in a paper on an oligopoly model; meets John Harsanyi at a game theory workshop in Jerusalem.[1],[3]

  9. 1975

    Introduces trembling-hand perfection in the International Journal of Game Theory.[3],[14]

  10. 1978

    Publishes 'The Chain Store Paradox', a puzzle about whether threats of price wars can deter rivals.[5],[15]

  11. 1984

    Joins the University of Bonn and founds the BonnEconLab, which the university calls Europe's oldest laboratory for experimental economics.[1],[11],[21]

  12. 1988

    Publishes A General Theory of Equilibrium Selection in Games with Harsanyi, after about 18 years of joint work.[1]

  13. October 11, 1994

    Shares the Nobel memorial prize in economic sciences with John Harsanyi and John Nash; reporters are waiting when he gets home from grocery shopping.[2],[3],[19]

  14. August 23, 2016

    Dies in Poznań, Poland, aged 85.[2],[8],[9]

Sources

  1. 1.Reinhard Selten – Biographical (Nobel autobiography) · NobelPrize.org (Nobel Prize Outreach), 1995
  2. 2.Reinhard Selten – Facts · NobelPrize.org (Nobel Prize Outreach)
  3. 3.The Prize in Economics 1994 – Press release · Royal Swedish Academy of Sciences, via NobelPrize.org, 1994
  4. 4.Award ceremony speech, Prize in Economic Sciences 1994 · NobelPrize.org (Nobel Prize Outreach), 1994
  5. 5.Improvements to auction theory and inventions of new auction formats: Scientific background on the 2020 Prize in Economic Sciences · Committee for the Prize in Economic Sciences, Royal Swedish Academy of Sciences, 2020
  6. 6.Reinhard Selten (1930 - 2016) - Biography · MacTutor History of Mathematics, University of St Andrews, 2010
  7. 7.Reinhard Selten, Whose Strides in Game Theory Led to a Nobel, Dies at 85 · The New York Times (Sam Roberts), 2016
  8. 8.Wirtschaftsnobelpreisträger Reinhard Selten gestorben · Frankfurter Allgemeine Zeitung (Philip Plickert), 2016
  9. 9.Nobel-winning game theorist Reinhard Selten dies at 85 · Associated Press, via Phys.org, 2016
  10. 10.Reinhard Selten (1930–2016), The Concise Encyclopedia of Economics · Library of Economics and Liberty (Econlib), 2008
  11. 11.Prof. em. Dr. Dr. h. c. mult. Reinhard Selten · BonnEconLab, Department of Economics, University of Bonn
  12. 12.An Experimental Test of Design Alternatives for the British 3G / UMTS Auction (Abbink, Irlenbusch, Pezanis-Christou, Rockenbach, Sadrieh and Selten) · London Economics working paper, 2001
  13. 13."Telekom-Unternehmen haben Chancen von UMTS überschätzt" (interview with Reinhard Selten) · Badische Zeitung (Markus Hofmann), 2002
  14. 14.Reexamination of the perfectness concept for equilibrium points in extensive games, International Journal of Game Theory 4: 25-55 · Springer (International Journal of Game Theory), 1975
  15. 15.The chain store paradox, Theory and Decision 9: 127-159 · Springer (Theory and Decision), 1978
  16. 16.The Nuremberg Race Laws · United States Holocaust Memorial Museum, Holocaust Encyclopedia
  17. 17.Antisemitic Legislation 1933–1939 · United States Holocaust Memorial Museum, Holocaust Encyclopedia
  18. 18.Breslau (Encyclopaedia Judaica entry) · Jewish Virtual Library (American-Israeli Cooperative Enterprise)
  19. 19.Interview mit Reinhard Selten: "So schwierig ist das Leben mit dem Nobelpreis auch nicht" · Der Spiegel (Spiegel Online), 2009
  20. 20.Crossref metadata record for DOI 10.1007/BF01766400 (citation count) · Crossref
  21. 21.BonnEconLab: Laboratory for Experimental Economics (about the lab) · BonnEconLab, Department of Economics, University of Bonn

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