Game theory crossword

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Across
  1. 2. (or constant-sum) game: one player's winnings are the others' losses, so the net gain is zero across all players
  2. 3. player must try to reason what his opponent will do now, knowing that she will be asking the same question herself, and so on.
  3. 9. game: when agreements are not enforceable (although players may still have common goals, such as the Battle of the Sexes)
  4. 12. behaviour: players are perfect calculators and flawless followers of their best strategies
  5. 13. payoffs must be cardinal, not ordinal, in this case.
  6. 15. simply the choices available to the players
  7. 16. all that is important to a player about the game. For example: profits, market share, envy of rivals' positions, etc.
  8. 17. a once-off simultaneous game, simply the action taken on that single occasion. With sequential moves, a strategy could be "If he chooses X, then I'll choose B, but if he chooses Y, then I'll choose A" -- a complete plan of action.
  9. 18. an interaction between (or among) mutually aware players
Down
  1. 1. game: when joint-action agreements, pre-game contracts, etc. are enforceable
  2. 4. moves: players move together, in ignorance of the others' moves
  3. 5. (or non-zero-sum or variable-sum) game: players have some common interests; not constant-sum, which means that win-win or lose-lose is possible in two-person games
  4. 6. player must think: If I do this, how will my opponents react?
  5. 7. moves: players do not move together
  6. 8. the number (ordinal or cardinal) attached to an outcome
  7. 10. the consequence for a player of a specific combination of all players' strategies
  8. 11. payoff: the weighted average of all possible outcomes, where each weight is the probability of that outcome's occurring
  9. 14. each player is using the strategy that is his best response to the strategies chosen by the other players