Normal form game

MAS Strategic game | hra v normální formě

Triple $(N,(S_i{)}_{i\in N},(u_i{)}_{i\in N})$ where

• $N$ is set of player
• $S_i$ is a set of action of player $i$
• $u_i$ is a utility function of player $i$, $u_i:\mathbf{S}\to \mathbb{R}$, where $\mathbf{S}=S_1\times S_2\times \cdots \times S_N$

The game proceeds as follows. Each player i discretely chooses from its action set, not knowing the choice of other players. After all players choose their action, strategy profile $\mathbf{S}$ is revealed and each player gets award given by its $u_i$.