# STO4.yaml Model definition file for competitive storage with price-band backed by public storage
# Copyright (C) 2011-2013 Christophe Gouel
# Licensed under the Expat license, see LICENSE.txt

declarations:

  states: [A, Sg]

  controls: [S, H, P, DSgp, DSgm]

  expectations: [EP, EPe]

  shocks: [e]

  parameters: [k, r, h, mu, elastD, elastS, PF, Sgbar, PC]


equations:

  arbitrage:

    .. P+k-EP/(1+r)             |    0 <= S    <= inf
    .. EPe/(1+r) = h*H^mu       | -inf <= H    <= inf
    .. A+DSgm = P^elastD+S+DSgp | -inf <= P    <= inf
    .. P-PF                     |    0 <= DSgp <= Sgbar-Sg
    .. PC-P                     |    0 <= DSgm <= Sg


  transition:

    .. A  = S(-1)+H(-1)*e
    .. Sg = Sg(-1)+DSgp(-1)-DSgm(-1)

  expectation:

    .. EP  = P(1)
    .. EPe = P(1)*e(1)


calibration:

  parameters:

    k      :  0.06
    r      :  0.03
    elastS :  0.2
    h      : 1/(1+r)
    mu     : 1/elastS
    elastD : -0.2
    PF     :  0.9
    Sgbar  :  0.4
    PC     :  1.1

  steady_state:

    A    : 1
    S    : 0
    H    : 1
    P    : 1
    Sg   : Sgbar
    DSgp : 0
    DSgm : 0