Conflicts of Interest during Contact Investigations: A Game-Theoretic Analysis

Figure 1

State space for a single individual, according to (6). Each possible state is represented with a circle, labeled with the state (𝑆—susceptible, 𝐸—exposed, 𝐼—infectious, 𝑅—diagnosed and visited by a disease control investigator, 𝑆^′—susceptible but has been visited by a disease control investigator, 𝐸^′—exposed, but has been visited by a disease control investigator, 𝑉—exposed, but protected by postexposure prophylaxis). Possible transitions are indicated with arrows and informally labeled with expressions used to compute the rate; see (6) for details. We denote the total force of infection for each individual by 𝜆, which depends on the number of other infected individuals; we denote the total rate of investigation for a given individual by 𝜂_𝑖, which depends on the number of other investigated individuals willing to disclose that individual.