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<p>Currently submitted as a Registered Report. Non peer-reviewed manuscript is available upon request. It will be made openly available on this OSF page after undergoing peer review. </p> <hr> <p>Version 2 of analysis plan has a new section with one new analysis (See "competition will increase quantity" section). </p> <p>Version 3 changed two of the priors for the "competition will increase quantity" section from Gamma(1.5, 0.05) to Gamma(2, 0.05).</p> <p>Some statistical models in the pilot analysis plan were infeasible given the structure of the data. As such, some analyses of the pilot data and proposed analyses for the registered proposal were substantially modified from those in the pre-registered pilot analysis. </p>

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