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Suppose that females choose males based on attributes that do not signal anygenetic quality that is not related to the choice itself. Can being choosyconfer selective advantage in this situation? We introduce correlatedstrategies, which means that females, when making their choice, may take intoconsideration external and independent random factors that are known to beobservable by all. Individual-based simulation is used to show that, in thiscase, choosiness can emerge against the cost of over 25\% when pitted againstrandomly mating females. Moreover, after being established in the population,it can sustain costs of over 35\% .  While such costs are not biologically plausible, they demonstrateunequivocally that sexual choice is a strong evolutionary force. Thus,correlated strategies are shown to be an evolutionary tool that channelsrandomness from the environment into genetic diversity. In addition, it turnsout that a higher number of attributes in the ornament makes the choice moreadvantageous, which may result in a runaway complexity of sexual traits.Implications for the evolution of (female) cognitive abilities and speciationare discussed.

Beauty beacon: correlated strategies for the Fisher runaway process