Table 1.
Notations.
| Parameters | Description |
|---|---|
| r(t) | reference price of patients |
| p(t) | unit service price |
| t | specific time when patient going to the hospital |
| γ | impact of patients’ memory effect |
| S(t) | medical insurance reimbursement |
| x | patient’s asset |
| w | initial assets of the patient |
| θ | medical insurance reimbursement effect on the reference price |
| D(t) | patients consultation demand |
| α | base market size |
| β | price elasticity of demand |
| δ | impact of reference price on demand |
| ρ | average Marginal revenue |
| C | cost in medical insurance |
| η | reverse measurement coefficients of respective efficiency |
| U | utility of patient |
| F | patient’s health status |
| φ | specific proportion coefficient of secondary distribution |
| π | profit |
| ϕ | corresponding discount rate |
| n | actual number of patients’ admission |
| v | accompanying variables |
Superscripts ns, ss, cs mean the medical insurance strategy under the Nash, Stackelberg and centralized model of game theory respectively. Subscripts b, h represent the superior hospital and subordinate hospital respectively.