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Sawa Lab
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A lab that uses evolutionary game theory to explore how people's choices and social conventions become established.
AboutAbout the lab
Reading group choices through evolutionary game theory
The Sawa Lab uses evolutionary game theory to study how people's behavior and group choices settle down in the long run.
Its subjects include group choices made by majority vote, the outcomes of bargaining, and the process by which social conventions become established.
The lab represents, with mathematical models, how people gradually revise their behavior, and theoretically analyzes which states are likely to persist over the long term.
Key terms
- Evolutionary game theory
- A theory that represents mathematically how people gradually revise their behavior after seeing outcomes, and studies how the behavior of a group changes over the long run.
- Stochastic stability
- A property of the states observed after a long time in the limit where very rare random fluctuations in choices vanish.
- Condorcet winner
- A choice that wins a one-on-one majority vote against every other option.
ResearchResearch themes
Using mathematical models from evolutionary game theory, the lab analyzes where social choices and conventions eventually settle in the long run when people in a group repeatedly revise their behavior. It also uses stochastic stability analysis.
*Illustrative imageEvolution of Preferences and the Persistence of Cooperation
In a setting where people repeatedly split into groups and play games, the lab studies how preferences evolve according to outcomes. It analyzes the conditions under which a preference for punishing violators persists in the long run, and how adding more punishment options can weaken the stability of cooperation.
*Illustrative imageConventions and Social Choice in Large Populations
The lab shows that in almost all large games that have a convention, a property concerning single deviations, in which a player changes their action just once, holds. Building on this, it is joint research that characterizes social choice rules as long-run outcomes under behavioral rules.
*Illustrative imageBehavioral Rules That Imitate by Comparison with Opponents
As joint research, the lab studies how strategies evolve under the "play and imitate" behavioral rule, which requires little information and emphasizes beating one's opponent in one-on-one matchups. It applies this to games such as Cournot competition and bargaining.
*Illustrative imageGroup Choices Decided by Majority Vote
As joint research, the lab uses stochastic evolutionary game theory to analyze situations in which a choice supported by the majority is repeatedly challenged by new proposals. It shows that the Condorcet winner is the only choice that remains as a long-run equilibrium under any majority rule.
MembersFaculty
- ProfessorRyoji Sawa
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Crowd crossing the street, Hungary 2011” Keymeulen / CC0 (cropped)
- Evolution of Preferences and the Persistence of Cooperation: “Traffic police officer in Pusat Bandar, Brunei” Pangalau / CC BY-SA 4.0 (cropped)
- Conventions and Social Choice in Large Populations: “Intersection of Gadsden and Pensacola, Tallahassee” The Bushranger / CC BY-SA 4.0 (cropped)
- Behavioral Rules That Imitate by Comparison with Opponents: “Tuna auction at Tsukiji Fish Market, Tokyo; 2014” Joe deSousa / CC0 (cropped)
- Group Choices Decided by Majority Vote: “Voting at the polling station ( )” Пресс-служба Президента России / CC BY 4.0 (cropped)
- Related lab (秋山研究室): “Game Theory Strategic Social Alternatives” Pearson Scott Foresman -donated to wikimedia plus my own alterations / Public domain (cropped)
- Related lab (原田研究室): “Teramachi Street 2022-04 ac (5)” Asturio Cantabrio / CC BY-SA 4.0 (cropped)
- Related lab (チャン研究室): “Container Ship at Conley Terminal” Eric Kilby / CC BY-SA 2.0 (cropped)
- Related lab (大久保研究室): “New York Stock Exchange August 2017 02” Arild Vågen / CC BY-SA 4.0 (cropped)
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