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The Petrie multiplier is a
thought experiment A thought experiment is an imaginary scenario that is meant to elucidate or test an argument or theory. It is often an experiment that would be hard, impossible, or unethical to actually perform. It can also be an abstract hypothetical that is ...
or mathematical model invented by British
computer scientist A computer scientist is a scientist who specializes in the academic study of computer science. Computer scientists typically work on the theoretical side of computation. Although computer scientists can also focus their work and research on ...
Karen Petrie, and first described by Ian Gent in 2013. The multiplier "shows that if the percentage of men and women in the room who make questionable remarks to the other sex is equal, then the average number of sexist remarks experienced by members of one party scales by the square of the proportion of the offending party to the other.


Mathematical formulation

Gent defined the multiplier in the following terms: The Petrie multiplier corresponds to Lanchester's square law in
battle A battle is an occurrence of combat in warfare between opposing military units of any number or size. A war usually consists of multiple battles. In general, a battle is a military engagement that is well defined in duration, area, and force co ...
and predator–prey dynamics.


Expanded model

The model assumes that men and women are equally sexist. Further, each sexist remark made by a man is assumed to randomly target one of the women and vice versa. A more complex analysis published in the
Journal of Physics A The ''Journal of Physics A: Mathematical and Theoretical'' is a peer-reviewed scientific journal published by IOP Publishing, the publishing branch of the Institute of Physics. It is part of the '' Journal of Physics'' series and covers theoretica ...
modeled heterogeneous levels of sexism by assuming each person to make sexist remarks according to an independent
Poisson process In probability theory, statistics and related fields, a Poisson point process (also known as: Poisson random measure, Poisson random point field and Poisson point field) is a type of mathematical object that consists of Point (geometry), points ...
, maintaining the assumption that each sexist remark is directed to an individual of the opposite sex. Under these conditions the Petrie multiplier takes the form . The Petrie multiplier has not been the subject of any
empirical Empirical evidence is evidence obtained through sense experience or experimental procedure. It is of central importance to the sciences and plays a role in various other fields, like epistemology and law. There is no general agreement on how t ...
study. However, one commentator used a Monte Carlo simulation to eliminate the assumption that people have a fixed number of sexist remarks to make, and found that women suffer from overwhelmingly more sexism in an environment where both genders are equally sexist. Another
probabilistic Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an e ...
analysis found that the multiplier seemed to hold and suggested that the disparity could be even worse than quadratic.


References

{{Reflist Sexism Women in computing Thought experiments in ethics