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- Research grants
- Masahiko Ueda

Lecturer, Graduate School of Sciences and Technology for Innovation, Yamaguchi University *Profile is at the time of the award.

2022Inamori Research GrantsScience & Engineering

- Research topics
- Mathematical structure of payoff control in repeated games

- Keyword

- Summary
- Game theory is a mathematical framework describing rational decision making of multiple agents. Recently, in repeated games, a class of strategies, called “zero-determinant strategies”, was discovered, which unilaterally control payoffs of players. Many researchers have expanded the range of application of zero-determinant strategies. More recently, I proposed an extended version of zero-determinant strategies, which enables more complicated payoff control, such as control of conditional expectations of payoffs. However, what we can do by extended zero-determinant strategies is still not clear. In this research, I investigate properties of extended zero-determinant strategies in social dilemma games. Particularly, I investigate relation between extended zero-determinant strategies and equilibrium strategies, and want to elucidate their significance in social science and evolutionary biology.

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Repeated games are used to analyze the rational decision-making of multiple agents in a long-term interdependent relationship. Recently, the concept of zero-determinant strategy was discovered, which unilaterally controls the payoffs of players in repeated games. However, many aspects of the mathematical properties and usefulness of zero-determinant strategies were unclear. In our study, I (1) identified the conditions for the existence of zero-determinant strategies, (2) expanded the payoff control ability of zero-determinant strategies, and (3) analyzed the usefulness of imitation using zero-determinant strategies. These results advance the understanding of the properties of zero-determinant strategies one step further and suggest ways to use them in the context of imitation.

Ueda M (2022) Necessary and Sufficient Condition for the Existence of Zero-Determinant Strategies in Repeated Games. *J. Phys. Soc. Jpn.* **91**, 084801. https://doi.org/10.7566/JPSJ.91.084801

Ueda M (2022) Controlling Conditional Expectations by Zero-Determinant Strategies. *Oper. Res. Forum* **3**, 48. https://doi.org/10.1007/s43069-022-00159-3

M. Ueda (2023) Unexploitable Games and Unbeatable Strategies. *IEEE Access ***11** 5062-5068. https://doi.org/10.1109/ACCESS.2023.3235922

Science & Engineering