Equilibrium of Data Markets with Externality

Fuente: arXiv
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Autores principales: Hossain, Safwan, Chen, Yiling
Formato: Preprint
Publicado: 2023
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author Hossain, Safwan
Chen, Yiling
author_facet Hossain, Safwan
Chen, Yiling
contents We model real-world data markets, where sellers post fixed prices and buyers are free to purchase from any set of sellers, as a simultaneous game. A key component here is the negative externality buyers induce on one another due to data purchases. Starting with a simple setting where buyers know their valuations a priori, we characterize both the existence and welfare properties of the pure Nash equilibrium in the presence of such externality. While the outcomes are bleak without any intervention, mirroring the limitations of current data markets, we prove that for a standard class of externality functions, platforms intervening through a transaction cost can lead to a pure equilibrium with strong welfare guarantees. We next consider a more realistic setting where buyers learn their valuations over time through market interactions. Our intervention is feasible here as well, and we consider learning algorithms to achieve low regret concerning both individual and cumulative utility metrics. Lastly, we analyze the promises of this intervention under a much richer externality model.
format Preprint
id arxiv_https___arxiv_org_abs_2302_08012
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Equilibrium of Data Markets with Externality
Hossain, Safwan
Chen, Yiling
Computer Science and Game Theory
Artificial Intelligence
We model real-world data markets, where sellers post fixed prices and buyers are free to purchase from any set of sellers, as a simultaneous game. A key component here is the negative externality buyers induce on one another due to data purchases. Starting with a simple setting where buyers know their valuations a priori, we characterize both the existence and welfare properties of the pure Nash equilibrium in the presence of such externality. While the outcomes are bleak without any intervention, mirroring the limitations of current data markets, we prove that for a standard class of externality functions, platforms intervening through a transaction cost can lead to a pure equilibrium with strong welfare guarantees. We next consider a more realistic setting where buyers learn their valuations over time through market interactions. Our intervention is feasible here as well, and we consider learning algorithms to achieve low regret concerning both individual and cumulative utility metrics. Lastly, we analyze the promises of this intervention under a much richer externality model.
title Equilibrium of Data Markets with Externality
topic Computer Science and Game Theory
Artificial Intelligence
url https://arxiv.org/abs/2302.08012