ゲーム理論 (Game Theory)
「自分だけ」では決まらない、駆け引きの科学。
Game theory is a branch of mathematics used to model strategic interactions. In blockchain, it is used to design rules that ensure all participants act in the best interest of the network (like miners following rules to earn rewards). It helps predict how rational individuals will behave when they can either cooperate or cheat.
graph LR
Center["ゲーム理論 (Game Theory)"]:::main
Pre_mathematics["mathematics"]:::pre --> Center
click Pre_mathematics "/terms/mathematics"
Pre_economics["economics"]:::pre --> Center
click Pre_economics "/terms/economics"
Rel_nash_equilibrium["nash-equilibrium"]:::related -.-> Center
click Rel_nash_equilibrium "/terms/nash-equilibrium"
Rel_incentive_design["incentive-design"]:::related -.-> Center
click Rel_incentive_design "/terms/incentive-design"
Rel_recursion["recursion"]:::related -.-> Center
click Rel_recursion "/terms/recursion"
classDef main fill:#7c3aed,stroke:#8b5cf6,stroke-width:2px,color:white,font-weight:bold,rx:5,ry:5;
classDef pre fill:#0f172a,stroke:#3b82f6,color:#94a3b8,rx:5,ry:5;
classDef child fill:#0f172a,stroke:#10b981,color:#94a3b8,rx:5,ry:5;
classDef related fill:#0f172a,stroke:#8b5cf6,stroke-dasharray: 5 5,color:#94a3b8,rx:5,ry:5;
linkStyle default stroke:#4b5563,stroke-width:2px;
🧠 理解度チェック
🧒 5歳でもわかるように説明
Game theory is like being at a party where everyone is trying to get the best slice of pizza. You have to think about what everyone else will do before you make your move. If everyone follows the same good rules, everyone gets pizza!
🤓 Expert Deep Dive
Uses models like the Prisoner's Dilemma to explain cooperation and conflict. In decentralized systems, it provides the foundation for 'Cryptoeconomics'—using cryptographic proofs and economic incentives to build trustless networks.