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Selling two complementary goods

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  • Komal Malik
  • Kolagani Paramahamsa

Abstract

A seller is selling a pair of divisible complementary goods to an agent. The agent consumes the goods only in a specific ratio and freely disposes of excess in either goods. The value of the bundle and the ratio are private information of the agent. In this two-dimensional type space model, we characterize the incentive constraints and show that the optimal (expected revenue-maximizing) mechanism is a ratio-dependent posted price or a posted price mechanism for a class of distributions. We also show that the optimal mechanism is a posted price mechanism when the value and the ratio are independently distributed.

Suggested Citation

  • Komal Malik & Kolagani Paramahamsa, 2020. "Selling two complementary goods," Papers 2011.05840, arXiv.org, revised Jul 2022.
    • Handle: RePEc:arx:papers:2011.05840
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    References listed on IDEAS

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