Abstract

Verification techniques play an essential role in detecting undesirable behaviors in many applications like spectrum auctions. By verifying an auction design, one can detect the least favorable outcomes, e.g., the lowest revenue of an auctioneer. However, verification may be infeasible in practice, given the vast size of the state space on the one hand and the large number of properties to be verified on the other hand. To overcome this challenge, we leverage machine-learning techniques. In particular, we create a dataset by verifying properties of a spectrum auction first. Second, we use this dataset to analyze and predict outcomes of the auction and characteristics of the verification procedure. To evaluate the usefulness of machine learning in the given scenario, we consider prediction quality and feature importance. In our experiments, we observe that prediction models can capture relationships in our dataset well, though one needs to be careful to obtain a representative and sufficiently large training dataset. While the focus of this article is on a specific verification scenario, our analysis approach is general and can be adapted to other domains.

Highlights

  • A very relevant domain for verification is auction design. This current article focuses on spectrum auctions

  • We study whether one can predict these quantities only with features describing the auction design and the properties to be verified, i.e., without knowing the course of actual verification runs themselves

  • RELATED WORK we review related work from different areas that are relevant for this article: spectrum auctions, verification of process models, and machine learning

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Summary

Introduction

A very relevant domain for verification is auction design. This current article focuses on spectrum auctions. A wrong policy to increase bid prices in the US mobile market resulted in a loss of 70 billion dollars [1]. In another case [2], about fifty percent of the products remained unsold at the end of the auction. To alleviate such results, one can apply methods from the fields of auction theory, verification, and machine learning. Our article is located at the intersection of all three fields

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