Subjects

Variables

Explanation

Farmer

$C{F}_i\left(C{F^{\prime }}_i,C{F^{″}}_i\right)$

Production cost of agricultural products, $C{F^{\prime }}_i,C{F^{″}}_i$ represents production cost of signing the keeping fresh contract and not signing the keeping fresh contract respectively. $i$

expresses different kinds of agricultural products.

${\gamma }_1\in \left[{{\gamma }^{\prime }}_1,{{\gamma }^{″}}_1\right]$

Effort level to ensure the quality of fresh agricultural products. ${{\gamma }^{\prime }}_1,{{\gamma }^{″}}_1$ represents the minimum and maximum level of effort, both in the 0 - 1.

$p_{i1}\left({p^{\prime }}_{i1},{p^{″}}_{i1}\right)$

Wholesale price of agricultural products, ${p^{\prime }}_{i1},{p^{″}}_{i1}$ represents wholesale price of signing the keeping fresh contract and not signing the keeping fresh contract respectively.

Super-

market

$C{M}_i\left(p_{i1}\right)$

Purchase cost of agricultural products, $C{M^{\prime }}_i,C{M^{″}}_i$ represents purchase cost of signing the keeping fresh contract and not signing the keeping fresh contract respectively.

$Q_i$

The total amount of agricultural products purchased.

$C{T}_1\left(C{T^{\prime }}_1,C{T^{″}}_1\right)$

Transportation cost of agricultural products, $C{T^{\prime }}_1,C{T^{″}}_1$ represents the payment of the cost of transport for logistics company of signing the keeping fresh contract and not signing the keeping fresh contract respectively.

$p_{i2}\left({p^{\prime }}_{i2},{p^{″}}_{i2}\right)$

Sales price of agricultural products, ${p^{\prime }}_{i2},{p^{″}}_{i2}$ represents the sales price of signing the keeping fresh contract and not signing the keeping fresh contract respectively.

Logistics

company

$C{T}_2$

The transportation cost of logistics company.

${\gamma }_2\in \left[{{\gamma }^{\prime }}_2,{{\gamma }^{″}}_2\right]$

Effort level to ensure the quality of fresh agricultural products. ${{\gamma }^{\prime }}_2,{{\gamma }^{″}}_2$ represents the minimum and maximum level of effort, both in the 0 - 1.

Parameter

variable

$\theta \left({\gamma }_i,{\epsilon }_1\right)\in \left[0,1\right]$

Fresh level of agricultural products, increasing with ${\gamma }_i$ , $\theta \left({\gamma }_i,{\epsilon }_1\right)=\theta \left({\gamma }_i\right){\epsilon }_1$

${\epsilon }_{\text{1}}$

Random variables under uncertain conditions.

$K_1,K_2$

Price elasticity of different price.

$\pi F\left(\pi F^{\prime },\pi F^{″}\right)$

$\pi M\left(\pi M^{\prime },\pi M^{″}\right)$

$\pi T\left(\pi T^{\prime },\pi T^{″}\right)$

Respectively, on behalf of the profit of farmer, supermarket and logistics company in the case of signing the fresh-keeping contract.

Consumer

${\epsilon }_{\text{2}}$

Random variables under uncertain conditions.

$D_i\left(p_{i2},\theta \right)$

Demand function, is related to fresh level of agricultural products.