## Research Category

Mathematical Programming

## Area of Interest

Discrete Optimization, Discrete Convex Analysis, Game Theory

## Recent Thoughts

Relationships between discrete convex analysis and discrete fixed-point theorems are not yet clear. I am interested in such relations and development of a new fixed-point theorem.

## Publications

- Iimura, T., Murota, K. and Tamura, A.: ``Discrete fixed point theorem reconsidered,'' Journal of Mathematical Economics, 41 (2005), 1030--1036.
- Fujishige, S. and Tamura, A.: ``A two-sided discrete-concave market with possibly bounded side payments: An approach by discrete convex analysis,'' Mathematics of Operations Research}, 32 (2007), 136--155.

## Recent/Ongoing Works

田村明久：離散凸解析とゲーム理論，(2009)，朝倉書店.

## Home Page

http://www.math.keio.ac.jp/~aki-tamura/## Affiliation

Keio University, Department of Mathematics