Names for the number 0 in English the score was not placed upon a scoreboard, and there is scant evidence that the French ever used "l'oeuf" as the name for a zero score in the first place, that name being as anecdotal as the hypothesis that "love" is then derived from it. (Jacob Bernoulli, for example, in his "Letter to a Friend", used "à but" to describe the initial zero–zero score in court tennis, which in English is "love-all".) Some alternative hypotheses have similar problems. For example: The assertion that "love" comes from the Scots word "luff", meaning "nothing", falls at the first hurdle, because there is
Zero-sum game in a zero-sum game gives rise to a generalized relative selfish rationality standard, the punishing-the-opponent standard, where both players always seek to minimize the opponent’s payoff at a favorable cost to himself rather to prefer more than less. The punishing-the-opponent standard can be used in both zero-sum games (e.g. warfare game, Chess) and non-zero-sum games (e.g. pooling selection games). For two-player finite zero-sum games, the different game theoretic solution concepts of Nash equilibrium, minimax, and maximin all give the same solution. If the players are allowed to play a mixed strategy, the game always has an equilibrium. A game's payoff