If one confess s/b If one confesses A research reveals that the more they cudgel their brain to maximize their benefit, the more likely the mutual betrayal is chosen. Although you may be referring to a single research paper or project, it is most common to simply use "Research reveals" rather than "A research reveals". I'm not sure what you mean with the rest of the sentence.
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ClarkePeters
CalifJimIf one confesses while the other remains silent, the confessor goes free and the silent accomplice receives a 20-year sentence.A researchResearch reveals that the more theycudgelrack their brains to