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Social Mathematics and Dynamic Optimization Lab (Akifumi Kira)
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The lab studies social mathematics, using mathematical optimization to design the mechanisms of society.
AboutAbout the lab
Designing the mechanisms of society with the power of mathematics.
Associate Professor Kira's lab specializes in mathematical optimization and studies the theory of dynamic programming and its applications.
The lab is interested in problems that require repeated decision-making and problems that involve uncertainty.
It also works on social mathematics, which uses mathematical techniques such as optimization and game theory to design fair and widely accepted systems and policies.
Associate Professor Kira has developed technologies in collaboration with practitioners in the field, for example on childcare center admission allocation and joint transportation matching.
Key terms
- Dynamic programming
- A solution method for decision-making that spans many stages, which divides the problem by stage and finds the optimal choice step by step
- Game theory
- A theory that uses mathematics to analyze what outcomes result when multiple people each choose according to their own interests
- Joint transportation matching
- A mechanism that uses transport data to enumerate and propose combinations of joint transportation with high cooperation benefits
ResearchResearch themes
Centered on dynamic programming, the lab studies theory and applications for efficiently solving problems that require repeated decision-making or involve uncertainty. For social issues, it also designs fair and widely accepted systems and policies using mathematical techniques such as optimization and game theory.
*Illustrative imageOptimization of Repeated Decision-Making
The lab studies the theory of dynamic programming and its applications as a way to efficiently solve problems that require repeated decision-making (multistage decision processes) and problems that involve uncertainty (stochastic models).
*Illustrative imageSocial System Design (Social Mathematics)
Using mathematical techniques such as optimization and game theory, the lab designs fair and widely accepted systems and policies for social issues. Associate Professor Kira has developed technologies in collaboration with practitioners in the field, for example on childcare center admission allocation.
*Illustrative imageJoint Transportation Matching
In industry-academia collaborative research with Japan Pallet Rental, the lab is developing joint transportation matching technology that rapidly enumerates combinations of transport routes with high cooperation benefits.
MembersFaculty
- Associate ProfessorAkifumi Kira
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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: “Dsa dynamic programming salmon fish memoized” Atavory / CC BY-SA 3.0 (cropped)
- Optimization of Repeated Decision-Making: “Sequential decision making under uncertainty” Dvd8719 / CC BY-SA 4.0 (cropped)
- Social System Design (Social Mathematics): “Federated social media” Stéphane Guillou / CC BY-SA 4.0 (cropped)
- Joint Transportation Matching: “Trucks in Cambodia 02” Dmitry Makeev / CC BY-SA 4.0 (cropped)
- Related lab (Social Mathematics and Dynamic Optimization Lab): “Bertrand BRC” PSandager / CC0 (cropped)
- Related lab (Science, Technology, and Innovation Policy Lab (Fumikazu Sato)): “The Institute of Mathematics of national academy of sciences of Ukraine.Entrance examination. Kyiv 2019” Lena Gulenko / CC BY 4.0 (cropped)
- Related lab (Numerical Analysis and Computational Fluid Dynamics Lab): “Biomechanics-Femur-Fracture-Nail-Internal Fixation-CAD-FEM” Fry72 Karel Frydrýšek, Tomáš Halo, Daniel Čepica / CC BY-SA 4.0 (cropped)
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