Limited-traceability systems

Abstract

Cryptographic methods and apparatus for payment and related transaction systems are disclosed that allow some kinds of tracing under some conditions and make substantially infeasible other kinds of tracing under other conditions. Examples include: allowing tracing if and only if agreed sets of trustees cooperate; tracing from a payment to the payer by cooperation of a set of trustees; tracing from a payment to the payer without revealing to trustees which payer is being traced or which payment; identifying all payments by a payer provided appropriate trustees cooperate; and identifying all payments by a payer under investigation without trustees learning which payer and/or which payments; Other examples include: limiting resolution to groups of payers in tracing for statistical purposes; allowing limited different markings of payment instruments while preventing payers from learning which marking they receive; providing for recovery of lost money without compromise of unrelated transactions; allowing participants the ability to retain, not forward, and even destroy some tracing information without financial harm; providing the option of artificial increase in the computational cost of at least some tracing; and providing the option of blurry linking of payments to payers.