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Player
iStrategy
s_iStrategy Set
S_iStrategy Profile
s = (s_1, \ldots, s_n)Payoff Function
u_i(s)Expected Payoff
\mathbb{E}[u_i]Best Response
BR_i(s_{-i})Nash Equilibrium
s^* = (s_1^*, \ldots, s_n^*)Mixed Strategy
\sigma_iProbability Simplex
\Delta(S_i)Dominant Strategy
s_i^dDominated Strategy
s_i \prec s'_iPareto Optimal
s^{PO}Minimax
\min_j \max_iZero Sum
u_1 + u_2 = 0Cooperative Value
v(S)Shapley Value
\phi_i(v)Subgame Perfect
SPEInformation Set
hAction
a_i