# Introduction to Game Theory/Strategic games

• Players: $\{1, 2, \dots N\}$
• Strategy sets: $\{S_1, S_2, \dots S_N\}$ where $S_i$ is the set of possible strategies for player i and we could denote a specific strategy in the set by $s_i \in S_i$
• Payoffs: $\{u_1(\cdot), u_2(\cdot), \dots u_n(\cdot)\}$ where each function is defined over the whole outcome of the game (i.e. the chosen strategies for each player) $u_i(s_1, s_2, \dots, s_N)$