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Today, Nash’s concept of equilibrium from strategic games is one of the basic paradigms in social sciences and biology. […] Like many great scientific ideas, from Newton’s theory of gravitation to Darwin’s theory of natural selection, Nash’s idea seemed initially too simple to be truly interesting, too narrow to be widely applicable, and, later on, so obvious that its discovery by someone was deemed all but inevitable. […] Its significance was not immediately recognized, not even by the brash twenty-one-year-old author himself.

Explanation and Analysis:

Nash’s most famous mathematic discovery, the “Nash equilibrium,” describes a scenario in a competitive situation between two rational actors (or “game players,” in the parlance of game theory) in which neither actor is able to improve their pos...

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Original

Romeo

(aside) She speaks.
O, speak again, bright angel! For thou art
As glorious to this night, being o’er my head,
As is a winged messenger of heaven
Unto the white, upturnèd, wondering eyes
Of mortals that fall back to gaze on him
When he bestrides the lazy-puffing clouds
And sails upon the bosom of the air.

Juliet

O Romeo, Romeo! Wherefore art though Romeo?
Deny they father and refuse they name.
Or, if thou wilt not, be but sworn my love,
And I’ll no longer be a Capulet.

Modern

Romeo

(to himself) She speaks. Speak again, bright angel! For tonight you are as glorious, there up above me, as a winged messenger of heaven who makes mortals fall onto their backs to gaze up with awestruck eyes as he strides across the lazy clouds and sails through the air.

Juliet

O Romeo, Romeo! Why must you be Romeo? Deny your father and give up your name. Or, if you won’t change your name, just swear your love to me and I’ll give up being a Capulet.

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