Bandwidth Efficient Partial Authorized PSI

Abstract

Recent attacks on private set intersection (PSI) and PSI-like protocols have demonstrated that input privacy can be compromised when parties maliciously choose their inputs - even in protocols proven secure against malicious adversaries. To counter such attacks, Authorized PSI (APSI) introduces a judge who authorizes the elements of the parties before the intersection is computed. Falzon and Markatou (PETS 2025) proposed Partial-APSI, a privacy-preserving variant of APSI that prevents revealing the entire set to a judge. Their Partial-APSI protocol requires significant bandwidth overhead due to the use of bilinear pairings and because the judge must sign each element in the input set. In this work, we present a bandwidth-efficient Partial-APSI protocol that outperforms Falzon and Markatou, both asymptotically and empirically. For example, for sets of size 220, we require about 21× less bandwidth and are about 6× faster over a LAN network. In addition to our protocol, we model the real-world behavior of rational parties through a game-theoretic analysis. We introduce payout mechanisms for detected cheating and establish lower bounds on their values, ensuring that the best strategy for rational parties is to provide honest input.