cu3da

c     MODEL:        stochastic growth model with government capital
c                   and varying hours and employment; the planner
c                   chooses c1[t],c0[t],i[t],n[t],h[t] to maximize
c
c                     E[ sum beta^t {n[t]*u(c1[t],1-h[t])+(1-n[t])
c                         t              *u(c0[t],1)}*(1-a[t]) | x[0]]
c
c                   subject to
c
c                     c[t]+i[t] = z[t]*f(k[t],kg[t],n[t],h[t])-ig[t]-cg[t]
c                     c[t]      = n[t]*c1[t]+(1-n[t])*c0[t]
c                     k[t+1]    = (1-delta)*k[t]+i[t]
c                     kg[t+1]   = (1-delta)*kg[t]+ig[t]
c                     z[t+1]    = z[t]^psi*eps[t]
c                     x[t]      = (k[t],kg[t],z[t])
c


cumc3da

c     MODEL:        stochastic growth model with government capital,
c                   varying hours and employment, and moving costs;
c                   the planner chooses c1[t],c0[t],i[t],n[t],h[t]
c                   to maximize
c
c                   E[ sum beta^t {n[t]*U(c1[t],1-h[t])+(1-n[t])
c                       t              *U(c0[t],1)-P(n[t])}*(1-a[t])|x[0]]
c
c                   subject to
c
c                   c[t]+i[t]+m[t] = z[t]*F(k[t]+kg[t],n[t],h[t])-ig[t]-cg[t]
c                   c[t]           = n[t]*c1[t]+(1-n[t])*c0[t]
c                   m[t]           = M(n[t],n[t-1])
c                   k[t+1]         = (1-delta)*k[t]+i[t]
c                   kg[t+1]        = (1-delta)*kg[t]+ig[t]
c                   z[t+1]         = z[t]^psi*eps[t]
c                   x[t]           = (k[t],n[t-1],z[t])
c

cumc3dai

c     MODEL:        stochastic growth model with government capital,
c                   varying hours and employment, and moving costs;
c                   the planner chooses c1[t],c0[t],i[t],n[t],h[t]
c                   to maximize
c
c                   E[ sum beta^t {n[t]*U(c1[t],1-h[t])+(1-n[t])
c                       t              *U(c0[t],1)-P(n[t])}*(1-a[t])|x[0]]
c
c                   subject to
c
c                   c[t]+i[t]+m[t] = z[t]*F(k[t]+kg[t],n[t],h[t])-ig[t]-cg[t]
c                   c[t]           = n[t]*c1[t]+(1-n[t])*c0[t]
c                   m[t]           = M(n[t],n[t-1])
c                   k[t+1]         = (1-delta)*k[t]+i[t]
c                   kg[t+1]        = (1-delta)*kg[t]+ig[t]
c                   z[t+1]         = z[t]^psi*eps[t]
c                   x[t]           = (k[t],n[t-1],z[t])
c

cumc3db

c     MODEL:        stochastic growth model with government capital,
c                   varying hours and employment, and moving costs;
c                   the planner chooses c1[t],c0[t],i[t],n[t],h[t]
c                   to maximize
c
c                   E[ sum beta^t {n[t]*U(c1[t],1-h[t])+(1-n[t])
c                       t              *U(c0[t],1)-P(n[t])}*(1-a[t])|x[0]]
c
c                   subject to
c
c                   c[t]+i[t]+m[t] = z[t]*F(k[t]+kg[t],n[t],h[t])-ig[t]-cg[t]
c                   c[t]           = n[t]*c1[t]+(1-n[t])*c0[t]
c                   m[t]           = M(n[t],n[t-1])
c                   k[t+1]         = (1-delta)*k[t]+i[t]
c                   kg[t+1]        = (1-delta)*kg[t]+ig[t]
c                   z[t+1]         = z[t]^psi*eps[t]
c                   x[t]           = (k[t],n[t-1],z[t])
c

cumc3dbi

c     MODEL:        stochastic growth model with government capital,
c                   varying hours and employment, and moving costs;
c                   the planner chooses c1[t],c0[t],i[t],n[t],h[t]
c                   to maximize
c
c                   E[ sum beta^t {n[t]*U(c1[t],1-h[t])+(1-n[t])
c                       t              *U(c0[t],1)}*(1-a[t])|x[0]]
c
c                   subject to
c
c                   c[t]+i[t]+m[t]+p[t] = z[t]*F(k[t]+kg[t],n[t],h[t])
c                                         -ig[t]-cg[t]
c                   c[t]                = n[t]*c1[t]+(1-n[t])*c0[t]
c                   m[t]                = M(n[t],n[t-1])
c                   p[t]                = P(n[t])
c                   k[t+1]              = (1-delta)*k[t]+i[t]
c                   kg[t+1]             = (1-delta)*kg[t]+ig[t]
c                   z[t+1]              = z[t]^psi*eps[t]
c                   x[t]                = (k[t],n[t-1],z[t])
c


war3da

c     MODEL:        stochastic growth model with government capital;
c                   the government chooses c[t],i[t],h[t] to maximize
c
c                     E[ sum  beta^t u(c[t],l[t]) | k[0],kg[0],z[0]]
c                         t
c                   subject to
c
c                          c[t]+i[t] = z[t]*f(k[t],kg[t],h[t])-ig[t]-bg[t]
c                          k[t+1]    = (1-delta)*k[t]+i[t]
c                          kg[t+1]   = (1-delta)*kg[t]+ig[t]
c                          z[t+1]    = z[t]^psi*eps[t]