Internet users such as individuals and organizations are subject to different
types of epidemic risks such as worms, viruses, spams, and botnets. To reduce
the probability of risk, an Internet user generally invests in traditional
security mechanisms like anti-virus and anti-spam software, sometimes also
known as self-defense mechanisms. However, such software does not completely
eliminate risk. Recent works have considered the problem of residual risk
elimination by proposing the idea of cyber-insurance. In this regard, an
important research problem is the analysis of optimal user self-defense
investments and cyber-insurance contracts under the Internet environment. In
this paper, we investigate two problems and their relationship: 1) analyzing
optimal self-defense investments in the Internet, under optimal cyber-insurance
coverage, where optimality is an insurer objective and 2) designing optimal
cyber-insurance contracts for Internet users, where a contract is a (premium,
coverage) pair