Algorithm 2 Energy Provider’s Dynamic Pricing Decision Algorithm

1:procedurePricing Information  (${\mathit{x}}^{*}$, ${\mathit{g}}^{*}$, ${\mathit{e}}^{*}$) 2: while each $l\in \rho$ do 3:  adjust ${\mathit{R}}^{*}({\nu }^l,{\mathit{o}}^l)$, ${\mathit{G}}^{*}({\nu }^l,{\mathit{o}}^l)$ by solving subproblem (29) 4:  update pricing data as follows 5:  ${\nu }^{l+1}={\left[{\nu }^l-\tau \left({\sum }_i^N\left({\mathit{g}}_{\mathit{i}}^{*}({\nu }^l,{\mathit{o}}^l)-{\mathit{x}}_{\mathit{i}}^{*}({\nu }^l,{\mathit{o}}^l)-{\mathit{e}}_{\mathit{i}}^{*}({\nu }^l,{\mathit{o}}^l)\right)+{\mathit{G}}^{*}({\nu }^l,{\mathit{o}}^l)\right)\right]}^{+}$ 6:  ${\mathit{o}}^{l+1}=\left[{\mathit{o}}^l-\tau \left({\sum }_i^N\left({\mathit{g}}_{\mathit{i}}^{*}({\nu }^l,{\mathit{o}}^l)\right)-{\mathit{R}}^{*}({\nu }^l,{\mathit{o}}^l)\right)\right]$ 7:  dispatch updated pricing data to every consumer 8: end while 9: return ${\nu }^{l+1},{\mathit{o}}^{l+1}$ 10: end procedure