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Social Mathematics and Dynamic Optimization Lab
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The lab studies social mathematics, using mathematical optimization and game theory to design social systems and policies.
AboutAbout the lab
Designing fair social systems with mathematical techniques.
Associate Professor Akifumi Kira specializes in mathematical optimization and studies problems that require repeated decision-making and problems that involve uncertainty.
The lab works on the theory and applications of dynamic programming, a method for solving such problems efficiently.
It also works on social mathematics: research that uses mathematical techniques such as optimization and game theory to design fair systems and policies that people find acceptable.
The lab has developed technology in collaboration with people on the front lines of challenges such as logistics and the allocation of places at daycare centers.
Key terms
- Dynamic programming
- A method for efficiently solving problems that require repeated decision-making.
- Markov decision process
- A mathematical model of decision-making in which the state changes probabilistically and an action is chosen at each stage.
- Game theory
- A mathematical theory for analyzing situations in which multiple people decide how to act while taking one another's choices into account.
- Collaborative transport matching
- A system that finds and proposes combinations of collaborative transport with high cooperative benefit from a database of transport lanes.
ResearchResearch themes
Associate Professor Kira studies problems that require repeated decision-making and problems that involve uncertainty, solving them with mathematical optimization such as dynamic programming. The lab also works on social mathematics, using optimization and game theory to design fair systems and policies that people find acceptable for social issues.
*Illustrative imageDynamic Programming and Probabilistic Models
The lab studies methods for efficiently solving problems that require repeated decision-making and problems that involve uncertainty. It works on the theory and applications of dynamic programming, and Markov decision processes are one of its research topics.
*Illustrative imageSystem Design through Social Mathematics
The lab uses mathematical techniques such as optimization and game theory to design fair systems and policies that people find acceptable. It has collaborated with people on the front lines on projects such as allocating daycare places while taking siblings into account and improving passenger satisfaction at Fukuoka Airport.
*Illustrative imageCollaborative Transport Matching
The lab works on technology that instantly lists and proposes combinations of collaborative transport with high cooperative benefit, drawing on a database of transport lanes. Through an industry-academia collaboration with Japan Pallet Rental Corporation, it developed the core engine of the service.
*Illustrative imageOptimization of Pallet Operations
The lab has developed a solver that optimizes operational plans for pallets, including collection, cleaning, transport between depots to prepare for the next demand, and delivery, and provides it to Japan Pallet Rental Corporation.
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: “Bertrand BRC” PSandager / CC0 (cropped)
- Dynamic Programming and Probabilistic Models: “Chess game Staunton No. 6” Wilfredor / CC0 (cropped)
- System Design through Social Mathematics: “Plimpton 322” photo author unknown / Public domain (cropped)
- Collaborative Transport Matching: “Delivery trucks in the Philippines in Longos 04” RamaGaspar / CC BY-SA 4.0 (cropped)
- Optimization of Pallet Operations: “UNICEF pallets 02” heb@Wikimedia Commons (mail) / CC BY-SA 3.0 (cropped)
- Related lab (Social Mathematics and Dynamic Optimization Lab (Akifumi Kira)): “Dsa dynamic programming salmon fish memoized” Atavory / CC BY-SA 3.0 (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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