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It would have been much wiser to assume that there are no pure strategies, that all of them are mixed. Game Theory would have done well to borrow mathematical techniques from quantum mechanics. For instance: strategies could have been described as wave functions with probability distributions. The same treatment could be accorded to the cardinal utility function.
The idea of trapping a deer, for instance, seems barbarous indeed; but are not all the ways of deceiving and killing these splendid animals equally so? Are not the various strategies and cunning devices of the sportsman, by which these noble creatures are decoyed and murdered, equally open to the same objection?
In the country, a life under minute observation as keen as an Indian's compels a woman either to keep on the rails or to start aside like a steam engine wrecked by an obstacle. The strategies of love, the coquetting which form half the composition of a Parisian woman, are utterly unknown here." "That is true," said Lousteau.
She had asked manhood of mind, and could not accept less. The awful part was that she must do over again all the hateful strategies, all the concealing and worldliness her body, mind and soul sorely crippled from before. That she must thus use her womanhood, her precious prime of strength. One experience had not hardened her enough.
It seemed to amuse him a good deal and his white teeth flashed behind his pipe. His mother's strategies had always diverted him, even when he was a boy they were so flimsy and patent, so illy proportioned to her vigor and force. "They've been waiting to see which way I'd jump," he reflected. He felt that Mrs. Ericson was pondering his case deeply as she sat clicking her needles.
"The House of Song," as Miss Broadwood had called it, was the outcome of Flavia's more exalted strategies. A woman who made less a point of sympathizing with their delicate organisms, might have sought to plunge these phosphorescent pieces into the tepid bath of domestic life; but Flavia's discernment was deeper.
"Ah, ah!" said the king, "you amuse yourself with tactics and strategies then, M. Fouquet?" "I occupy myself with everything that may be useful to the reign of your majesty," replied Fouquet. "Beautiful descriptions!" said the king, looking at the design.
Moreover, Game Theory refuses to acknowledge that real games are dynamic, not static. The dynamic is retrospective, not prospective. To be dynamic, the game must include all the information about all the actors, all their strategies, all their utility functions. Each game is a subset of a higher level game, a private case of an implicit game which is constantly played in the background, so to say.
These strategies guarantee that the loser will not lose more than the value of the game and that the winner will gain at least this value. The solution is the "Saddle Point". A player playing a ZSG cannot gain if prohibited to use certain strategies. This is not the case in NZSGs.
And so, with a specialist's appreciation of the mental effect of the most trivial external details, the doctor had ordered muffins, and a kettle on the fire, and had asked Jane to make the tea. By the time the kettle boiled, they had remembered the chestnuts, and were laughing about poor old Fraulein's efforts to keep them in order, and the strategies by which they used to evade her vigilance.
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