Alvin E. Roth

Verified Timeline

Lore & Background

Alvin Roth was born in the New York City borough of Queens to Ernest and Lillian Roth, both public high school teachers and Jewish. He followed his brother Ted Roth in attending the Science Honors Program at Columbia University, which offered classes to junior high and high school students on Saturdays, and entered Columbia's engineering school in the Fall of 1968 when he was 16, without having graduated from high school. Roth graduated from Columbia University's School of Engineering and Applied Science in 1971 with a bachelor's degree in Operations Research. He then moved to Stanford University, receiving both his Master's and PhD also in Operations Research there in 1973 and 1974 respectively. After leaving Stanford, Roth went on to teach at the University of Illinois at Urbana–Champaign, which he left in 1982 to become the Andrew W. Mellon professor of economics at the University of Pittsburgh. While at Pittsburgh, he also served as a fellow in the university's Center for Philosophy of Science and as a professor in the Katz Graduate School of Business. In 1998, Roth left to join the faculty at Harvard where he remained until deciding to return to Stanford in 2012. In 2013 he became a full member of the Stanford faculty and took emeritus status at Harvard. Roth is an Alfred P. Sloan fellow, a Guggenheim fellow, and a fellow of the American Academy of Arts and Sciences. He is also a member of the National Bureau of Economic Research (NBER) and the Econometric Society. In 2013, Roth, Shapley, and David Gale won a Golden Goose Award for their work on market design. A collection of Roth's papers is housed at the Rubenstein Library at Duke University.

Reader's Guide

Alvin Roth's significance lies in his application of game theory and market design to solve practical allocation problems. His Nobel-recognized work, alongside Lloyd Shapley, demonstrated that stable allocations—where no participants prefer to trade among themselves—are key to successful market institutions. Roth substantiated this through empirical studies and laboratory experiments, then redesigned real-world markets such as the matching of new doctors with hospitals, students with schools, and organ donors with patients. His reforms, based on the Gale-Shapley algorithm, addressed specific constraints like the prohibition of side payments. Roth's work on kidney exchange, including the New England Program for Kidney Exchange and global kidney exchange, has enabled transplants that otherwise could not occur, overcoming biological obstacles. His contributions to school choice in New York City and Boston improved fairness by eliminating incentives for strategic misrepresentation. Roth's legacy is that of a theorist who translated abstract economic principles into functioning systems that directly affect lives, from medical matching to education.

Did You Know?

• Roth entered Columbia's engineering school in Fall 1968 at age 16 without having graduated from high school.
• He earned both his Master's and PhD in Operations Research from Stanford University in 1973 and 1974 respectively.
• Roth co-founded the New England Program for Kidney Exchange, a registry and matching program that pairs compatible kidney donors and recipients.
• In 2013, Roth, Shapley, and David Gale won a Golden Goose Award for their work on market design.
• A collection of Roth's papers is housed at the Rubenstein Library at Duke University.

An Academic Odyssey from Queens to Stanford

Alvin Eliot Roth's intellectual journey began in Queens, New York, where he was born in 1951 to Ernest and Lillian Roth, both public high school teachers of Jewish heritage. Following his older brother Ted's path, a young Alvin enrolled in Columbia University's Science Honors Program, a Saturday class open to junior high and high school students. At just sixteen, he entered Columbia's engineering school in the fall of 1968 without having completed high school. He earned his bachelor's degree in Operations Research from Columbia's School of Engineering and Applied Science in 1971, then moved to Stanford for his master's and doctorate in the same field, completing them in 1973 and 1974. His teaching career carried him through the University of Illinois at Urbana–Champaign, the University of Pittsburgh (where he held the Andrew W. Mellon professorship and served in both the Center for Philosophy of Science and the Katz Graduate School of Business), Harvard (joined 1998), and a return to Stanford in 2012. He served as president of the American Economic Association in 2017 and holds fellowships from the Sloan Foundation, the Guggenheim Foundation, and the American Academy of Arts and Sciences.

Nobel Recognition and the Theory of Stable Allocations

In October 2012, the Royal Swedish Academy of Sciences awarded Roth the Nobel Memorial Prize in Economic Sciences, shared with Lloyd Shapley, for what the citation described as the theory of stable allocations and the practice of market design. The Academy highlighted that Roth recognized Shapley's purely theoretical results could illuminate how critical real-world markets actually function. Through a series of empirical investigations, Roth and his collaborators demonstrated that stability serves as the central principle behind the success of particular market institutions. He then validated this insight through systematic laboratory experiments. Perhaps most significantly, Roth helped redesign existing matching institutions: pairing new doctors with hospitals, connecting students with schools, and linking organ donors with patients. These reforms all draw on the Gale-Shapley algorithm, adapted with modifications that respect specific circumstances and ethical constraints, including the prohibition of side payments. In 2013, Roth, Shapley, and David Gale received a Golden Goose Award for their collective work in market design.

Kidney Exchange and the New England Program

Roth's most tangible real-world contribution may be his foundational work on kidney exchange, conducted with Tayfun Sonmez and Utku Unver, and later with Itai Ashlagi and other co-authors. The team recognized the structural similarity between kidney exchange and the one-sided matching problem described by Shapley and Herbert Scarf. They adapted David Gale's top-trading-cycle algorithm to accommodate one-sided matching with waiting-list options and proposed efficient, incentive-compatible chain selection rules. They further demonstrated that efficient outcomes with strong incentive properties could be found in computationally efficient ways when limited to pairwise exchanges. Roth co-founded the New England Program for Kidney Exchange, a registry and matching program pairing compatible donors and recipients. The program was designed around two pairs of incompatible donors: each donor could not give to their own partner but could give to another. Because the National Organ Transplant Act forbids binding contracts for organ transplant, surgical steps had to occur roughly simultaneously, requiring four operating rooms and four surgical teams acting in concert. Hospitals felt three pairwise exchanges would be too burdensome, so the program limited itself to pairs. A twelve-party exchange involving six donors and six recipients was performed in April 2008.

A Philosophy of Practical Economics and Enduring Legacy

Roth has consistently emphasized applying economic theory to solve practical, real-world problems, a philosophy that permeates his work across game theory, market design, and experimental economics. He has described the dynamism of market design with the observation that as market conditions shift, people's behavior changes, causing old rules to be discarded and new ones to be created. His contributions since the 1990s span kidney exchange, school choice, the medical residency match, the entry-level job market for economists, and other markets. Beyond the lecture hall, Roth maintains an active presence as a blogger, managing the Market Design Blog to discuss topics in his field. His recognition extends well beyond the Nobel: he is an Alfred P. Sloan fellow, a Guggenheim fellow, a fellow of the American Academy of Arts and Sciences, a member of the National Bureau of Economic Research and the Econometric Society, and served as AEA president in 2017. A collection of his papers is housed at the Rubenstein Library at Duke University, ensuring his scholarly record remains accessible to future generations of researchers.