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Mechanisms for a No-Regret Agent: Beyond the Common Prior

Modibo Camara, Jason Hartline and Aleck Johnsen

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Abstract: A rich class of mechanism design problems can be understood as incomplete-information games between a principal who commits to a policy and an agent who responds, with payoffs determined by an unknown state of the world. Traditionally, these models require strong and often-impractical assumptions about beliefs (a common prior over the state). In this paper, we dispense with the common prior. Instead, we consider a repeated interaction where both the principal and the agent may learn over time from the state history. We reformulate mechanism design as a reinforcement learning problem and develop mechanisms that attain natural benchmarks without any assumptions on the state-generating process. Our results make use of novel behavioral assumptions for the agent -- centered around counterfactual internal regret -- that capture the spirit of rationality without relying on beliefs.

Date: 2020-09
New Economics Papers: this item is included in nep-des and nep-mic
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Citations: View citations in EconPapers (3)

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