Visible to the public Data Collection from Privacy-Aware Users in the Presence of Social Learning

TitleData Collection from Privacy-Aware Users in the Presence of Social Learning
Publication TypeConference Paper
Year of Publication2019
AuthorsAkbay, Abdullah Basar, Wang, Weina, Zhang, Junshan
Conference Name2019 57th Annual Allerton Conference on Communication, Control, and Computing (Allerton)
Date Publishedsep
KeywordsBayes methods, Bayesian-Nash equilibrium, Control Theory and Privacy, cyber physical systems, Cyber-physical systems, Data collection, data collector, Data models, data privacy, elicited data, friends, game theory, generalized majority voting rule, Human Behavior, informative non-disclosive strategy, learning (artificial intelligence), Noise measurement, noisy group signals, payment mechanism, privacy, privacy cost, privacy-aware users, privacy-preserving data, private signal, pubcrawl, Resiliency, Scalability, Silicon, Social groups, social learning, state estimation accuracy, symmetric randomized response strategy
AbstractWe study a model where a data collector obtains data from users through a payment mechanism to learn the underlying state from the elicited data. The private signal of each user represents her individual knowledge about the state. Through social interactions, each user can also learn noisy versions of her friends' signals, which is called group signals. Based on both her private signal and group signals, each user makes strategic decisions to report a privacy-preserved version of her data to the data collector. We develop a Bayesian game theoretic framework to study the impact of social learning on users' data reporting strategies and devise the payment mechanism for the data collector accordingly. Our findings reveal that, the Bayesian-Nash equilibrium can be in the form of either a symmetric randomized response (SR) strategy or an informative non-disclosive (ND) strategy. A generalized majority voting rule is applied by each user to her noisy group signals to determine which strategy to follow. When a user plays the ND strategy, she reports privacy-preserving data completely based on her group signals, independent of her private signal, which indicates that her privacy cost is zero. Both the data collector and the users can benefit from social learning which drives down the privacy costs and helps to improve the state estimation at a given payment budget. We derive bounds on the minimum total payment required to achieve a given level of state estimation accuracy.
Citation Keyakbay_data_2019