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Table 1 Standard symmetric \(2 \times 2\) game

From: Classification by decomposition: a novel approach to classification of symmetric \(2\times 2\) games

   Player 2
   0 1
Player 1 0 (aa) (bc)
1 (cb) (dd)
  1. Both players can choose between action 0 and action 1. The outcomes of the games are denoted ij where \(i \in \{0,1\}\) is the action of player 1 and \(j \in \{0,1\}\) is the action of player 2