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Table 1 Concession variables and models used by previous studies

From: Enhancing the decision-making process for public-private partnerships infrastructure projects: a socio-economic system dynamic approach

S/N

Concession variables

Model used

Reference

1

Demand forecasting

System dynamic

Alasad et al. [29]

Concession price and period

Road concession model

Arata et al. [30]

2

Concession price and period

System dynamics causal loop (SDCL)-empirical testing model

Asiedu and Ameyaw [5]

3

Concession period

The “win-win” model and Monte Carlo simulation

Carbonara et al. [31]

59 variables, including investment size, concession period, and project income

System dynamic

Ullah et al. [20]

Public policy

System dynamic

Pagoni and Patroklos [23]

Benefit, cost, government support, external situation, and private sector’s ability

System dynamic

Du et al. [14]

4

Concession period, price, capital structure, government subsidy, and sustainability performance

The multi-objective optimization model

Alghamdi et al. [32]

Subsidies, loss factor, and public sector position

Monte Carlo simulation

Lv et al. [25]

5

Concession period

Concession period-mathematical model (partly assumptions-based)

Feng et al. [33]

6

Concession period and toll-rate structuring

Dual-variable approach

Gross and Garvin [34]

7

Internal return rate, payback tariff, and concession period

Stepwise approach (no model followed)

Hadi and Erzaij [35]

8

Concession period

Game theory-evaluating model

Jin et al. [21, 22]

9

Concession period and revenue sharing rate

Monte Carlo and risk premium approach

Kokkaew and Tongthong [36]

10

Concession period

Empirical model

Liu et al. [37]

11

Various critical performance factors include legal, technological, procurement, and economical.

Quantitative approach

Opawole et al. [38]

12

Concession price

System dynamic

Xu et al. [11, 12]

13

Concession price

Principal-agent theory

Yuan et al. [39]

Subsidy and Concession Price

System dynamic

Yuan et al. [26]

14

Concession period

System dynamic

Zhang et al. [40]