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Remove very old stuff.
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src/models/solve_allocation_by_duality_cgc.jl

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@@ -320,97 +320,3 @@ function recover_allocation_duality_cgc(x, auxdata)
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return (Pjn=Pjn, PCj=PCj, Ljn=Ljn, Yjn=Yjn, cj=cj, Cj=Cj, Dj=Dj, Djn=Djn, Qjk=Qjk, Qjkn=Qjkn)
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end
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# # Hessian Experimental:
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# # These are the lagrange multipliers = prices
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# Lambda = repeat(x, 1, graph.J * param.N) # P^n_j: each column is a price, the rows should be the derivatives (P^n'_k)
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# lambda = reshape(x, (graph.J, param.N))
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# # Compute price index
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# P = sum(lambda .^ (1 - param.sigma), dims=2) .^ (1 / (1 - param.sigma))
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# mat_P = repeat(P, param.N, param.N * graph.J)
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# # Create masks
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# # This lets different products in the same location relate
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# Iij = kron(ones(param.N, param.N), I(graph.J))
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# # This is adjacency, but only for the same product (n == n')
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# Inm = kron(I(param.N), graph.adjacency)
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# # Compute Qjkn terms for Hessian
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# Qjknprime = zeros(graph.J, graph.J, param.N)
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# diff = Lambda' - Lambda # P^n'_k - P^n_j
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# mat_kappa = repeat(kappa, param.N, param.N)
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# mN = repeat(param.m, inner = graph.J)
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# # Rows are the derivatives, columns are P^n_j
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# PCjN = repeat(res.PCj, param.N)
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# A = mat_kappa ./ ((1+param.beta) * mN .* PCjN)'
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# # Adding term for (block-digonal) elements
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# temp = diff .* (x .^ (-param.sigma) .* PCjN .^ (param.sigma - 1))' .- 1
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# temp[Iij .== 0] .= 1
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# Aprime = A .* temp
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# temp = diff .* Inm
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# temp[Inm .== 0] .= 1
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# A .*= temp
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# BA = A .^ (1/(nu-1))
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# BprimeAAprime = (1/(nu-1)) * A .^ (nu/(1-nu)) .* Aprime
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# BprimeAAprime[isnan.(BprimeAAprime)] .= 0
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# C = repeat(res.Qjk .^ ((nu-param.beta-1)/(nu-1)), param.N, param.N)
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# Cprime = repeat(((nu-param.beta-1)/(nu-1)) * res.Qjk .^ (param.beta/(1-nu)), param.N, param.N)
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# Qjknprime = BA .* Cprime .* BprimeAAprime .* mN # Off-diagonal (n') part
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# Qjknprime[Inm] += BprimeAAprime[Inm] .* C[Inm] # Adding diagonal
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# # Compute Qjkn Sums
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# # Derivatives of Qjk
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# # Result should be nedg * N
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# Qjkprime = zeros(graph.J, graph.J, param.N)
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# temp = kappa ./ ((1 + param.beta) * res.PCj)
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# for n in 1:param.N
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# Lambda = repeat(Pjn[:, n], 1, graph.J)
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# Qjkprime[:,:,n] = m[n] / param.beta * res.Qjk .^ ((nu-nu*param.beta-1)/(nu-1))
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# LL = Lambda' - Lambda # P^n_k - P^n_j
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# LL[.!graph.adjacency] .= 0
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# Qjkprime[:,:,n] .*= ((LL .* temp) / m[n]) .^ (1/(nu-1)) # A^(1/(nu-1))
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# Qjkprime[:,:,n] .*= temp / m[n] # A'(P^n_k)
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# tril()
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# end
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# Qjk = (Qjk .* temp) .^ (nu-1)/(nu*param.beta)
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# Qjkprime = res.Qjk[graph.adjacency]
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# # This is for Djn, the standard trade part (excluding trade costs)
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# termA = -param.sigma * (repeat(P, param.N) .^ param.sigma .* x .^ (-(param.sigma + 1)) .* repeat(res.Cj, param.N))
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# part1 = Iij .* Lambda .^ (-param.sigma) .* Lambda' .^ (-param.sigma) .* mat_P .^ (2 * param.sigma)
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# termB = param.sigma * part1 ./ mat_P .* repeat(res.Cj, param.N, graph.J * param.N)
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# termC = part1 .* repeat(graph.Lj ./ (graph.omegaj .* param.usecond.(res.cj, graph.hj)), param.N, graph.J * param.N)
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# Cjn = Diagonal(termA[:]) + termB + termC
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# # Now comes the part of Djn relating to trade costs
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# Djn_costs =
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# Djn = Cjn + Djn_costs
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# # This is related to the flows terms in the standard case
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# # Off-diagonal P^n_k terms
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# termD = 1 / (param.beta * (1 + param.beta)^(1 / param.beta)) * Inm .* mat_kappa .^ (1 / param.beta) .*
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# abs.(diff) .^ (1 / param.beta - 1) .*
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# ((diff .> 0) .* Lambda' ./ Lambda .^ (1 + 1 / param.beta) +
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# (diff .< 0) .* Lambda ./ Lambda' .^ (1 + 1 / param.beta))
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# # Diagonal P^n_j terms: sum across kappa
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# termE = -1 / (param.beta * (1 + param.beta)^(1 / param.beta)) * Inm .* mat_kappa .^ (1 / param.beta) .*
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# abs.(diff) .^ (1 / param.beta - 1) .*
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# ((diff .> 0) .* Lambda' .^ 2 ./ Lambda .^ (2 + 1 / param.beta) +
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# (diff .< 0) ./ Lambda' .^ (1 / param.beta))
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# termE = sum(termE, dims=2)

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