I will review the development and theoretical concepts of Monte Carlo event generators, indispensable simulation packages for predictions at high energy colliders. Originally rooted in phenomenological models, these programs and the techniques on which they build, nowadays evolve into precision tools which complement other computational methods in quantum field theory. I will outline how a new paradigm manifestly based on scattering amplitudes helps us to build more reliable simulations for ongoing and future experiments, as well as why and how it deserves to be studied as a new algorithm in its own right.
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