We develop a model of hospital responses to the possibility of a MFCU investigation, which is similar to models of tax evasion and crime (Allingham and Sandmo, 1972;Yitzhaki, 1987;Becker, 1968). In our model, the conditional probability of a MFCU investigation is higher when the MFCU has a larger budget, and higher at hospitals that produce a large number of fraud prone claims. We assume that complying with the investigation imposes administrative costs on the hospitals, and we examine how profit-maximizing hospitals respond to these incentives.3 This share is capped at a maximum of 0.25% of the total cost of the state Medicaid program, but states tend to request less than this limit. 4 Figures are based on authors' own analysis of the data and are presented in 2016 dollars. 5 00130 2019If IG, IFG, IF , and IF F are all positive given the prevailing MFCU investigation rates, then we would expect that dF/dG < 0. Increases in the MFCU budget will lead hospitals to reduce their production of fraud prone health services.
C. LEGITIMATE AND ILLEGITIMATE FRAUD PRONE SERVICESEven when focusing on fraud-prone health conditions, the MFCU cannot distinguish between legitimate and fraudulent services without investigating. It is unclear whether hospital management systems can independently control the hospitals production of fraudulent and legitimate fraud-prone health services. If the hospital does have independent control over illegitimate and legitimate activity, then an interesting question is how changes in MFCU budgets will affect the hospitals behavior with respect to these two separate types of activity. That is, in response to a MFCU expansion, will hospitals reduce only their fraudulent activities? Or will they also reduce their production of legitimate health services for the fraud-prone health conditions that attract MFCU attention? To study the possibility of such defensive practice patterns in more detail, we augment the basic model to allow hospitals to produce a mix of legitimate and illegitimate health services for fraud prone health conditions. Suppose that the MFCU's fraud prone activity index is Fi = li + zi, where li represents legitimate service production and zi represents illegitimate service production. Assume that the hospital receives the same revenue and incurs the same costs