| Parameter | Explanation |
|---|
| $\frac{1}{ | \Delta |_{y}}$ | Scaling of investment costs by the number of modeled years. |
| ${1}^{NC}_{tnc}$ | Factor indicating if trader $t$ is able to effectively withhold quantities of commodity $c$ in node $n$. If set to 1, Nash-Cournot behavior is assumed in the respective node, while a value of 0 implies perfectly competitive behavior (or equivalent regulation). If a conjectural variation approach is assumed, values in between may be taken. |
| $av^{I}_{pibm}$ | Availability of input $i$ in block $b$ during time step $m$. |
| $r_{y}$ | Discount factor indicating temporal preferences with respect to yearly profits. Preferences are assumed to be consistent between players. |
| $d_{m}$ | Weighting factor in time step $m$. Can be used to model aggregation. |
| $c^{\Delta^{I}}_{piby}$ | Cost coefficient of producer $p$ for input expansion of $i$ belonging to block $b$ in year $y$. |
| $c^{I_{l}}_{pibmy}$ | Linear operational cost coefficient of producer $p$ for input $i$ belonging to block $b$ in time step $m$ of year $y$. |
| $c^{I_{q}}_{pibmy}$ | Quadratic cost coefficient of producer $p$ for input $i$ belonging to block $b$ in time step $m$ of year $y$. |
| $c^{P}_{pcoy}$ | Production cost of producer $p$ for commodity $c$ of origin $o$ in year $y$. |
| $c^{\Delta P}_{pcoy}$ | Unit cost for expanding producer $p$'s production capacity of commodity $c$ in year $y$. |
| $fi^{P}_{cio}$ | Factor intensity. Indicates how many units of input $i$ are used to produce one unit of commodity $c$ for origin $o$. |
| $L^{I}_{i}$ | Lifetime of capacity investments into input procurement. |
| $L^{P}_{co}$ | Lifetime of technology used to produce commodity $c$ from origin $o$. |
| $\Lambda^{P}_{pcoy}$ | Exogenous capacity of producer $p$ to produce commodity $c$ from origin $o$. |
| $\Lambda^{I}_{piby}$ | Exogenous capacity of producer $p$ for input $i$ in time step $m$ of year $y$. |
| $\Lambda^{T}_{tncoy}$ | Maximum quantity of commodity $c$ from origin $o$ sold in year $y$ by trader $t$ in node $n$. |
| $\Omega^{I}_{piby}$ | Capacity expansion restriction for input $i$ to block $b$ of producer $p$ in year $y$. |
| $\Omega^{P}_{pcoy}$ | Capacity expansion restriction for commodity $c$ from origin $o$ of producer $p$ in year $y$. |
| $fi^{V}_{cc'}$ | Factor intensity indicating how much of commodity $c$ is used in when converting to commodity $c'$. |
| $l^{A}_{ac}$ | Loss for transporting commodity $c$ on arc $a$. |
| $c^{V}_{vcc'y}$ | Cost of converter $v$ to convert commodity $c$ to commodity $c'$ in $y$. |
| $c^{\Delta V}_{vcc'y}$ | Cost of converter $v$ to extend conversion capacity from $c$ to $c'$ in $y$. |
| $c^{\Delta^{RV}}_{vrr'cc'y}$ | Cost of repurposing conversion capacity $(r,r')$ to $(c,c')$. |
| $f^{RV}_{rr'cc'}$ | Factor indicating how much conversion capacity for $cc'$ is created when one unit of conversion capacity $rr'$ is repurposed. |
| $\Lambda^{V}_{vcc'y}$ | Exogenous conversion capacity of converter $v$ from $c$ to $c'$ in year $y$. |
| $L^{V}_{cc'}$ | Lifetime of endogenously added conversion capacity from $c$ to $c'$. |
| $c^{A}_{acy}$ | Unit cost for transporting commodity $c$ along arc $a$ in year $y$. |
| $c^{\Delta A}_{acy}$ | Cost for expanding transport capacity of commodity $c$ along arc $a$ in year $y$. |
| $c^{\Delta^{RA}}_{arcy}$ | Cost for repurposing transport capacity of commodity $r$ to $c$. |
| $f^{RA}_{rc}$ | Factor indicating how much transport capacity of $c$ is created when one unit of capacity for $r$ is repurposed. |
| $\Lambda^{A}_{acy}$ | Exogenous transport capacity of commodity $c$ on arc $a$. |
| $L^{A}_{c}$ | Lifetime of endogenously added transport capacity of commodity $c$. |
| $l^{S}_{scmm^{+}(m)}$ | Storage losses of storage system operator $s$ when storing commodity $c$ from time step $m$ to $m^{+}(m)$ during year $y$. |
| $c^{S_{in}}_{scy}$ | Storage costs of storage system operator $s$ when injecting commodity $c$ in year $y$. |
| $c^{S_{out}}_{scy}$ | Storage costs of storage system operator $s$ when extracting commodity $c$ in year $y$. |
| $c^{\Delta S}_{scy}$ | Storage capacity expansion costs of storage system operator $s$ for commodity $c$ in year $y$. |
| $c^{\Delta^{RS}}_{srcy}$ | Cost of repurposing storage capacity from $r$ to $c$. |
| $f^{RS}_{rc}$ | Factor indicating how much storage capacity of $c$ is created when one unit of capacity for $r$ is repurposed. |
| $\Lambda^{S}_{scy}$ | Exogenous storage capacity of storage system operator $s$ for commodity $c$ in year $y$. |
| $\Omega^{S}_{scy}$ | Storage capacity expansion restriction of storage system operator $s$ for commodity $c$ in year $y$. |
| $L^{S}_{c}$ | Technology lifetime for storage of commodity $c$. |