| Literature DB >> 35643938 |
Abstract
Non-pecuniary sources of motivation are a strong feature of the health care sector and the impact of competitive incentives on behavior may be lower where pecuniary motivation is low. This paper measures the marginal utility of income (MUY) of physicians from a stated-choice experiment, and examines whether this measure influences the association between competition faced by physicians and the prices they charge. We find that physicians are more likely to exploit a lack of competition with higher prices if they have a high MUY.Entities:
Keywords: competition; financial incentives; motivation; physicians
Mesh:
Year: 2022 PMID: 35643938 PMCID: PMC9544404 DOI: 10.1002/hec.4533
Source DB: PubMed Journal: Health Econ ISSN: 1057-9230 Impact factor: 2.395
FIGURE 1Example of the choice context and attributes
GMNL models used to recover individual‐specific marginal utility of income (MUY)
| Forced choice model | Status‐quo model | |||
|---|---|---|---|---|
| Coefficient mean | Coefficient SD | Coefficient mean | Coefficient SD | |
| Earnings ($‘000s) | −4.690*** (0.112) | 0.554*** (0.172) | −4.543*** (0.100) | 0.782 (0.056) |
| Hours: 10% decrease | 0.246*** (0.016) | 0.346*** (0.032) | ||
| Hours: 10% increase | −0.246*** (0.020) | −0.330*** (0.036) | ||
| On call: 1 in 2 | −1.137*** (0.036) | 0.605*** (0.033) | −0.932*** (0.045) | 1.133 (0.034) |
| On call: 1 in 4, frequently | −0.082*** (0.018) | 0.089 (0.099) | −0.135*** (0.042) | 0.711 (0.036) |
| On call: 1 in 4, infrequently | 0.585*** (0.023) | 0.128* (0.073) | 0.146*** (0.040) | 0.896 (0.033) |
| Location: Inland, < 5000 | −0.225*** (0.024) | 0.506*** (0.027) | −0.473*** (0.044) | 0.930 (0.032) |
| Location: Coastal, < 5000 | 0.207*** (0.022) | 0.376*** (0.030) | 0.188*** (0.043) | 0.679 (0.032) |
| Location: Town, 5000–20,000 | −0.021 (0.022) | 0.003 (0.031) | ||
| Social interactions: Very limited | −0.318*** (0.019) | 0.364*** (0.024) | −0.362*** (0.025) | |
| Social interactions: Average | 0.030* (0.018) | −0.057*** (0.022) | ||
| Arranging locum at short notice: Very difficult | −0.418*** (0.019) | 0.382*** (0.026) | −0.303*** (0.023) | |
| Arranging locum at short notice: Rather difficult | −0.032*** (0.016) | 0.161*** (0.043) | −0.083*** (0.026) | |
| Practice team: GP & receptionist | −0.272*** (0.023) | 0.399*** (0.031) | −0.381*** (0.033) | |
| Practice team: GP, rec. & nurse | 0.007 (0.023) | 0.146** (0.068) | −0.013 (0.045) | |
| Practice team: GP, rec., nurse & manager | 0.108*** (0.021) | 0.177*** (0.027) | ||
| Consultation length: 10 min. | −0.421*** (0.023) | 0.405*** (0.030) | −0.211*** (0.030) | |
| Consultation length: 15 min. | 0.084*** (0.019) | 0.103*** (0.025) | ||
| Consultation length: 20 min. | 0.153*** (0.021) | 0.048* (0.028) | ||
| Constant A | −0.029 (0.021) | −3.059*** (0.055) | ||
| Constant B | −3.200*** (0.061) | |||
| Tau | 0.211*** (0.000) | 0.162*** (0.000) | ||
| Gamma | 0.551*** (0.033) | 0.002 (0.013) | ||
| Observations | 27,852 | 26,661 | ||
| Individuals | 3207 | 3018 | ||
| Log likelihood | −17488 | −8953 | ||
| BIC | 35,323 | 18,203 | ||
| AIC | 35,043 | 5 | ||
| Model chi‐sq | 3635.9*** (34 df) | 40,673.2*** (29df) | ||
Note: The coefficient of earnings is assumed to have a lognormal distribution, hence the estimated means and standard deviations of ln(βearn) are presented. Other coefficients with standard deviations are assumed to have normal distributions. Models are estimated using maximum simulated likelihood with 500 Halton draws in NLOGIT 5. For more detail on the methods of the DCE, see Scott et al. (2013).
Descriptive statistics for estimation sample in Table 2 (n = 2732)
| Mean | Sd | Min | Max | |
|---|---|---|---|---|
| Standardized MUY | 0.00 | 1.00 | −1.37 | 7.62 |
| Female | 0.45 | 0.5 | 0 | 1 |
| Dependent children | 0.67 | 0.47 | 0 | 1 |
| Age | 48.78 | 10.56 | 26 | 88 |
| Aged over 65 years old | 0.07 | 0.25 | 0 | 1 |
| Australian medical school | 0.78 | 0.41 | 0 | 1 |
| Spouse not working | 0.25 | 0 | 1 | |
| Spouse working | 0.61 | 0 | 1 | |
| Not living with a spouse | 0.14 | 0 | 1 |
Factors associated with the marginal utility of income (MUY)
| Coeff. | se | ||
|---|---|---|---|
| Aged over 65 years old (=1) | 0.315*** | 0.084 | |
| Household income (percentiles) | |||
| 10%–20% | −0.003 | 0.085 | |
| 20%–30% | −0.037 | 0.083 | |
| 30%–40% | −0.130 | 0.092 | |
| 40%–50% | −0.033 | 0.088 | |
| 50%–60% | −0.162*** | 0.050 | |
| 60%–70% | −0.270*** | 0.098 | |
| 70%–80% | −0.195** | 0.090 | |
| 80%–90% | −0.280*** | 0.089 | |
| 90%–100% | −0.240*** | 0.09 | |
| Australian medical school (=1) | −0.222*** | 0.046 | |
| Female (=1) | −0.020 | 0.041 | |
| Dependent children (=1) | 0.102** | 0.045 | |
| Spouse working | −0.106** | 0.048 | |
| Not living with a spouse/single | 0.122* | 0.067 | |
| Constant | 0.122* | 0.084 | |
| Observations | 2732 | ||
| F (15, 2716) | 4.81*** | ||
| R‐squared | 0.0259 | ||
OLS regression: dependent variable is the standardized marginal utility of income.
Omitted category is the bottom 10%.
Omitted category is spouse not working.
*p < 0.05; **p < 0.01; ***p < 0.001.
Descriptive statistics for the estimation sample in competition and prices models (n = 1698)
| Mean | SD | SD between‐areas | SD within‐ areas | Min | Max | |
|---|---|---|---|---|---|---|
| Dependent variables: | ||||||
| Av price to non‐bulk billed ($): | 49.973 | 11.057 | 8.239 | 8.291 | 32.8 | 120 |
| Patients bulk billed (%): | 60.854 | 31.266 | 24.667 | 23.491 | 0 | 100 |
| Av price all patients ($): | 41.916 | 9.077 | 7.056 | 6.707 | 32.8 | 98.2 |
| Independent variables: | ||||||
| Standardized MUY | 0.023 | 0.945 | 0.567 | 0.843 | −1.479 | 7.891 |
| Closest GP practice (km) | 0.697 | 0.970 | 1.025 | 0.615 | 0.000 | 9.434 |
| Third closest GP practice (km) | 1.531 | 1.562 | 1.592 | 0.892 | 0.003 | 12.569 |
| Fifth closest GP practice (km) | 2.180 | 1.934 | 1.989 | 0.949 | 0.067 | 15.912 |
| Female GP | 0.476 | 0.500 | 0.342 | 0.432 | 0 | 1 |
| Spouse | 0.866 | 0.341 | 0.213 | 0.303 | 0 | 1 |
| Children | 0.655 | 0.475 | 0.309 | 0.418 | 0 | 1 |
| Australian medical school | 0.814 | 0.389 | 0.299 | 0.328 | 0 | 1 |
| Experience 10–19 years | 0.219 | 0.414 | 0.287 | 0.360 | 0 | 1 |
| Experience 20–29 years | 0.376 | 0.484 | 0.306 | 0.426 | 0 | 1 |
| Experience 30–39 years | 0.256 | 0.436 | 0.319 | 0.377 | 0 | 1 |
| Experience 40+ years | 0.079 | 0.270 | 0.149 | 0.244 | 0 | 1 |
| GP registrar | 0.031 | 0.174 | 0.093 | 0.166 | 0 | 1 |
| Partner or associate | 0.453 | 0.498 | 0.346 | 0.426 | 0 | 1 |
| Practice taxed as company | 0.273 | 0.445 | 0.311 | 0.378 | 0 | 1 |
| Practice size: 2–3 GPs | 0.169 | 0.375 | 0.299 | 0.318 | 0 | 1 |
| Practice size: 4–5 GPs | 0.200 | 0.400 | 0.300 | 0.330 | 0 | 1 |
| Practice size: 6–9 GPs | 0.334 | 0.472 | 0.344 | 0.385 | 0 | 1 |
| Practice size: 10+ GPs | 0.161 | 0.367 | 0.214 | 0.312 | 0 | 1 |
| SEIFA index of adv/disadv | 0 | 1 | ‐ | ‐ | −4.521 | 2.242 |
| Incentive area | 0.230 | 0.421 | ‐ | ‐ | 0 | 1 |
| Median house price ($0,000) | 55.552 | 29.820 | ‐ | ‐ | 16.550 | 302.250 |
| Proportion of residents U15 | 0.177 | 0.047 | ‐ | ‐ | 0.025 | 0.292 |
| Proportion 65+ | 0.134 | 0.045 | ‐ | ‐ | 0.023 | 0.309 |
| Proportion disabled | 0.039 | 0.014 | ‐ | ‐ | 0.006 | 0.091 |
| Proportion NW Europe | 0.082 | 0.040 | ‐ | ‐ | 0.011 | 0.269 |
| Proportion SE Europe | 0.049 | 0.042 | ‐ | ‐ | 0.004 | 0.300 |
| Proportion SE Asia | 0.041 | 0.050 | ‐ | ‐ | 0.002 | 0.422 |
| Proportion other | 0.095 | 0.080 | ‐ | ‐ | 0.002 | 0.496 |
| Popn density (pop/km2) ('000) | 2.020 | 1.587 | ‐ | ‐ | 0.019 | 8.757 |
The effect of competition and monetary motivation on prices
| OLS | Random effects | Mundlak | Area fixed effects | |||||
|---|---|---|---|---|---|---|---|---|
| Coeff | se | Coeff | se | Coeff | se | Coeff | se | |
| Log average price to all patients: | ||||||||
| Ln (3rd closest practice km) | 0.018*** | 0.005 | 0.017*** | 0.005 | 0.016** | 0.007 | 0.015** | 0.007 |
| Standardized MUY | −0.005 | 0.004 | −0.005 | 0.004 | −0.003 | 0.005 | −0.001 | 0.004 |
| MUY*ln (3rd closest practice km) | 0.005 | 0.004 | 0.006 | 0.004 | 0.010** | 0.004 | 0.012*** | 0.004 |
| Log price to non‐bulk billed patients: | ||||||||
| Ln (3rd closest practice km) | 0.021*** | 0.007 | 0.020** | 0.007 | 0.019* | 0.011 | 0.019* | 0.011 |
| Standardized MUY | 0.001 | 0.006 | 0.001 | 0.006 | 0.004 | 0.006 | 0.005 | 0.006 |
| MUY*ln (3rd closest practice km) | 0.002 | 0.007 | 0.003 | 0.007 | 0.011 | 0.007 | 0.013** | 0.006 |
| Bulk billing rate: | ||||||||
| Ln (3rd closest practice km) | −3.199*** | 0.847 | −3.016*** | 0.802 | −3.027*** | 1.001 | −2.97** | 1.019 |
| Standardized MUY | 0.648 | 0.687 | 0.632 | 0.704 | 0.343 | 0.773 | 0.126 | 0.778 |
| MUY*ln (3rd closest practice km) | −1.155* | 0.614 | −1.194* | 0.615 | −1.830*** | 0.639 | −2.008*** | 0.638 |
| Log consultation time: | ||||||||
| Ln (3rd closest practice km) | −0.004 | 0.009 | −0.005 | 0.009 | −0.013 | 0.012 | −0.016 | 0.012 |
| Standardized MUY | 0.010 | 0.007 | 0.009 | 0.007 | 0.005 | 0.007 | 0.005 | 0.008 |
| MUY*ln (3rd closest practice km) | −0.002 | 0.006 | −0.002 | 0.006 | −0.004 | 0.007 | −0.003 | 0.007 |
Note: For each dependent variable on the left, only the coefficients of distance and the marginal utility of income, and their interaction, are presented. All models includes full set of controls (see Table 5). Sample size n = 1698 in all models.
*p < 0.05; **p < 0.01; ***p < 0.001.
The effect of competition on log average price, detailed results (area fixed‐effects models)
| Without MUY | With MUY | With MUY (from status‐quo DCE) | ||||
|---|---|---|---|---|---|---|
| Coeff | se | Coeff | se | Coeff | se | |
| Ln (3rd closest practice km) | 0.016** | 0.007 | 0.015** | 0.007 | 0.019** | 0.007 |
| Standardized MUY | ‐ | −0.001 | 0.004 | −0.001 | 0.006 | |
| MUY*ln (3rd closest practice km) | ‐ | 0.012*** | 0.004 | 0.011 | 0.008 | |
| Female | 0.039*** | 0.011 | 0.038*** | 0.011 | 0.039*** | 0.011 |
| Spouse | 0.011 | 0.014 | 0.009 | 0.014 | 0.008 | 0.015 |
| Dependent children | 0.012 | 0.011 | 0.013 | 0.011 | 0.004 | 0.012 |
| Australian medical school | 0.061*** | 0.013 | 0.060*** | 0.012 | 0.061*** | 0.013 |
| Experience 10–19 years | 0.045** | 0.021 | 0.046** | 0.021 | 0.052** | 0.022 |
| Experience 20–29 years | 0.033 | 0.021 | 0.035* | 0.022 | 0.039* | 0.021 |
| Experience 30–39 years | 0.047** | 0.023 | 0.049** | 0.023 | 0.054** | 0.023 |
| Experience 40+ yrs | 0.002 | 0.025 | 0.005 | 0.026 | −0.008 | 0.026 |
| Registrar | 0.006 | 0.024 | 0.006 | 0.024 | 0.017 | 0.025 |
| Partner | 0.031*** | 0.011 | 0.031*** | 0.011 | 0.032*** | 0.011 |
| Company | −0.003 | 0.011 | −0.003 | 0.011 | 0.001 | 0.011 |
| Prac size: 2–3 docs | −0.014 | 0.019 | −0.013 | 0.019 | −0.012 | 0.019 |
| Prac size: 4–5 docs | 0.040** | 0.019 | 0.041** | 0.019 | 0.044** | 0.019 |
| Prac size: 6–9 docs | 0.037** | 0.018 | 0.036** | 0.018 | 0.035** | 0.018 |
| Prac size: 10 or more | 0.022 | 0.019 | 0.022 | 0.019 | 0.023 | 0.019 |
| Constant | 3.559*** | 0.028 | 3.560*** | 0.028 | 3.557*** | 0.029 |
| Observations | 1698 | 1698 | 1627 | |||
| Number of groups | 382 | 382 | 373 | |||
| F‐statistic/Wald (df) | 6.51*** (16) | 6.99 (18) | 5.99*** (18) | |||
|
| 0.077 | 0.078 | 0.0733 | |||
| Corr ( | 0.064 | 0.058 | 0.043 | |||
*p < 0.05; **p < 0.01; ***p < 0.001.
Models with bootstrapped standard errors
| Area fixed effects | Area fixed effects bootstrapped | |||
|---|---|---|---|---|
| Coeff | se | Coeff | se | |
| Log average price to all patients: | ||||
| Ln (3rd closest practice km) | 0.016*** | 0.007 | 0.016** | 0.007 |
| Standardized MUY | −0.001 | 0.004 | −0.004 | 0.005 |
| MUY*ln (3rd closest practice km) | 0.013** | 0.004 | 0.011** | 0.005 |
| Log price to non‐bulk billed patients: | ||||
| Ln (3rd closest practice km) | 0.019* | 0.011 | 0.019** | 0.009 |
| Standardized MUY | 0.008 | 0.005 | 0.001 | 0.005 |
| MUY*ln (3rd closest practice km) | 0.013** | 0.006 | 0.011* | 0.007 |
| Bulk billing rate: | ||||
| Ln (3rd closest practice km) | −2.742*** | 0.997 | −3.089*** | 1.128 |
| Standardized MUY | 0.062 | 0.677 | 0.186 | 0.853 |
| MUY*ln (3rd closest practice km) | −2.413*** | 0.634 | −2.017*** | 0.727 |
Note: Each cell of three coefficient estimates and three standard errors represents a different model estimation. Sample size n = 1698 in all models. The first column of results reproduces the area fixed effects model estimates from Table 5. The second column of results presents equivalent estimates, but with standard errors bootstrapped with 200 replications. In this column, the first stage MUy estimates are produced from a simpler mixed logit model with a smaller number of random coefficients, therefore they also produce slightly different coefficient estimates in the second stage.
*p < 0.05; **p < 0.01; ***p < 0.001.
Models with alternative distance measures of competition (area fixed effects models)
| Distance measure: 3rd closest practice (km) | Distance measure: Closest practice (km) | Distance measure: 5th closest practice (km) | ||||
|---|---|---|---|---|---|---|
| Coeff | Se | Coeff | se | Coeff | se | |
| Log average price to all patients: | ||||||
| Ln (Distance) | 0.015** | 0.007 | 0.002 | 0.004 | 0.032*** | 0.010 |
| Standardized MUY | −0.001 | 0.004 | 0.001 | 0.006 | −0.008 | 0.005 |
| MUY*ln (Distance) | 0.011*** | 0.004 | 0.004 | 0.003 | 0.014*** | 0.005 |
| Log price to non‐bulk billed patients: | ||||||
| Ln (Distance) | 0.019* | 0.011 | 0.004 | 0.005 | 0.040*** | 0.014 |
| Standardized MUY | 0.005 | 0.006 | 0.003 | 0.007 | −0.002 | 0.008 |
| MUY*ln (Distance) | 0.013** | 0.006 | 0.000 | 0.004 | 0.017** | 0.008 |
| Bulk billing rate: | ||||||
| Ln (Distance) | −2.97** | 1.019 | −0.521 | 0.595 | −5.815*** | 1.553 |
| Standardized MUY | 0.126 | 0.778 | −0.551 | 0.982 | 1.074 | 0.894 |
| MUY*ln (Distance) | −2.008*** | 0.638 | −0.748 | 0.458 | −2.029** | 0.799 |
Note: Each cell of three coefficient estimates and three standard errors represents a different model estimation. Sample size n = 1698 in all models. The first column of results reproduces the area fixed effects model estimates from Table 5 with distance to the third closest practice measuring competition. The second column of results presents equivalent estimates, but with the distance measure replaced with the distance to the (first) closest practice in kilometers. The third column replaces the distance measure with the distance to the fifth closest practice in kilometers.
*p < 0.05; **p < 0.01; ***p < 0.001.