Table 1: General equilibrium conditions

|**Equilibrium Condition**|**(Eq**|**uation)**|**Associated Variable**|**Dimensions**|
|---|---|---|---|---|
|**Dual representation of preferences**|**and t**|**echnologies:**|||
|Armington unit-cost functions|(1)<br>|_∀i ∈I_<br>|_A_<sup>_~~g~~_</sup> : Armington Activity|_G_|
||(2)|_∀j ∈J_|||
||(3)|_∀k ∈K_|||
|Dixit-Stiglitz price indexes<br>|(4)|_∀g ∈_(_I ∪J_)|_Q_<sup>_g_</sup><br>_r_ <sup>: D-S Activity by region</sup><br>|(_I_ +_J_)_× R_|
|Zero Profts for Dixit-Stiglitz frms|(5)|_∀g ∈_(_I ∪J_)|_N_<sup>_g_</sup><br>_r_ <sup>: Number of Firms</sup>|(_I_ +_J_)_× R_|
|Dixit-Stiglitz composite input prices|(6)<br>(7)<br>|_∀g ∈_(_I ∪J_) and _r_ = _D_<br>_∀j ∈J_ and _r_ = _D_<br>|_Z_<sup>_g_</sup><br>_r_ <sup>: IRTS resource use</sup>|(_I_ +_J_)_× R_|
||(8)|_∀i ∈I_ and _r_ = _D_|||
|Input-output technologies|(9)<br>|_∀g ∈G_|_Y _<sup>_g_</sup>: Production level<br>|_G_|
|Constant elasticity of transformation|(10)|_∀k ∈K_|_X_<sup>_g_</sup>: Index on CET activity|_G_|
||(11)|_∀g ∈_(_I ∪J_)|(No Export Coefcients for _g ∈_(_I ∪J_))||
|Exports|(12)|_∀k ∈K_ and _r_ = _D_|_EX_<sup>_g_</sup><br>_r_ <sup>: Exports</sup>|_G ×_(_R −_1)|
||(13)|_∀g ∈_(_I ∪J_) and _r_ = _D_|||
|Imports|(14)<br>|_∀g ∈G_ and _r_ = _D_|_IM_<sup>_g_</sup><br>_r_ <sup>: Imports (net of FDI-frm imports)</sup>|_G ×_(_R −_1)|
|Unit expenditure function|(15)||_U_: Household utility index|1|
|Unit cost of public purchase|(16)||_PUB_: Government Activity|1|
|Unit cost of investment|(17)||_INV_: Investment Activity|1|
|**Market clearance conditions:**|||||
|Composite goods and services|(18)|_∀g ∈G_|_PA_<sup>_~~g~~_</sup> : Composite price indexes<br>|_G_|
|D-S composites|(19)<br>|_∀g ∈_(_I ∪J_) and _r_ = _D_<br>|_P _<sup>_g_</sup><br>_r_ <sup>: Prices of D-S composites</sup>|(_I_ +_J_)_× R_|
||(20)|_∀g ∈_(_I ∪J_) and _r_ = _D_|||
|Markets for IRTS composite input|(21)|_∀g ∈_(_I_ +_J_)|_PMC_<sup>_g_</sup>: Composite input prices<br>|(_I_ +_J_)_× R_|
|Markets for domestic output|(22)<br>(23)<br>|_∀k ∈K_<br>_∀i ∈I_|_PD_<sup>_g_</sup>: Domestic output prices|_G_|
||(24)|_∀j ∈J_|||
|Markets for export output|(25)|_∀k ∈K_ and _r_ = _D_|_PX_<sup>_k_</sup><br>_r_ <sup>: Export output prices</sup>|_K ×_(_R −_1)|
|Markets for gross output|(26)|_∀g ∈G_|<br>_PY _<sup>_g_</sup>: Output prices<br>|<br>_G_|
|Markets for imports|(27)|_∀i ∈I_ and _r_ = _D_|_PM_<sup>_g_</sup><br>_r_ <sup>: Import prices</sup>|_G ×_(_R −_1)|
||(28)|_∀j ∈J_ and _r_ = _D_|||
||(29)|_∀k ∈K_ and _r_ = _D_|||
|Factor markets|(30)|_∀f ∈F_|_PFf_: Factor prices|_F_|
|IRTS specifc factors|(31)|_∀g ∈_(_I ∪J_)|_PZ_<sup>_g_</sup><br>_r_ <sup>: Sector-specifc capital price</sup>|(_I_ +_J_)_× R_|
|Fixed real investment|(32)||<br>_PINV_: Unit cost of investment|1|
|Fixed real public spending|(33)<br>||_PG_: Unit cost of public good<br>|1|
|Enterprise owner transfers|(34)||_PE_: Price of a claim on frm income|1|
|Nominal utility equals Income|(35)||_PC_: Unit expenditure index|1|
|Balance of payments|(36)||_PFX_: Price of foreign exchange|1|
|**Income balance:**|||||
|Domestic agent income|(37)|_∀h ∈H_|_RAh_: Household Income|_H_|
|Government budget|(38)||_GOVT_: Government spending|1|
|Enterprise income|(39)||_ENT_: Enterprise income|1|
|Foreign Entrepreneur|(40)||_FE_: External agent income|1|
|**Auxiliary Conditions:**|||||
|Fixed real public spending|(41)||_T_: Index on direct taxes|1|
|Foreign Savings|(42)||_KA_: Capital Account|1|
|**Total Dimensions:**||6_G_ +6[(_I_ +_J_)_× R_] +3[_G ×_|(_R −_1)] + [_K ×_ (_R −_1)] +_F_ +_H_ +13 =|1_,_364|

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