Patient allocations in general practice in case of patients' preferences for gender of doctor and their unavailability

Table 2 Fraction of mismatched patients

Fraction F-doctors	10%	20%	30%	40%	50%	60%	70%	80%	90%
Mismatched Total	0.519	0.443	0.376	0.320	0.281	0.262	0.266	0.293	0.339
Mismatched f-patients	0.601	0.508	0.423	0.349	0.290	0.251	0.234	0.239	0.263
Mismatched m-patients	0.436	0.378	0.329	0.292	0.271	0.272	0.298	0.347	0.416
Mismatched at F-doctor	0.094	0.108	0.127	0.150	0.181	0.218	0.261	0.308	0.355
Mismatched at M-doctor	0.566	0.527	0.483	0.433	0.381	0.327	0.277	0.233	0.197

Fraction of mismatched patients among each gender of patients and the fraction of mismatched patients at each gender of doctors for different fractions of available female doctors. The case of preference for female doctors 70% among female patients and 50% among male patients and preference strength c = 1.

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