Eliciting high quality feedback from crowdsourced tree networks using continuous scoring rules

  • Authors:
  • Ratul Ray;Rohith D. Vallam;Y. Narahari

  • Affiliations:
  • Indian Institute of Science, Bangalore, India;Indian Institute of Science, Bangalore, India;Indian Institute of Science, Bangalore, India

  • Venue:
  • Proceedings of the 2013 international conference on Autonomous agents and multi-agent systems
  • Year:
  • 2013

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Abstract

Eliciting accurate information on any object (perhaps a new product or service or person) using the wisdom of a crowd of individuals utilizing web-based platforms such as social networks is an important and interesting problem. Peer-prediction method is one of the known efforts in this direction but is limited to a single level of participating nodes. We non-trivially generalize the peer-prediction mechanism to the setting of a tree network of participating nodes that would get formed when the query about the object originates at a root node and propagates to nodes in a social network through forwarding. The feedback provided by the participating nodes must be aggregated hierarchically to generate a high quality answer at the root level. In the proposed tree-based peer-prediction mechanism, we use proper scoring rules for continuous distributions and prove that honest reporting is a Nash Equilibrium when prior probabilities are common knowledge in the tree and the observations made by the sibling nodes are stochastically relevant. To compute payments, we explore the logarithmic, quadratic, and spherical scoring rules using techniques from complex analysis. Through detailed simulations, we obtain several insights including the relationship between the budget of the mechanism designer and the quality of answer generated at the root node.