How can the market mechanism guarantee that the marginal cost of production will be the same across

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How can the market mechanism guarantee that the marginal cost of production will be the same across all firms if those firms have different owners, are in different locations, and have unique cost functions known only to the firms themselves? Why don’t these different firms need to have one shared owner or one shared manager to coordinate this “equal marginal cost” condition?
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Modern Principles of Economics

ISBN: 978-1429278393

3rd edition

Authors: Tyler Cowen, Alex Tabarrok

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