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author committer Markus Teich 2016-06-10 16:36:22 +0200 Markus Teich 2016-06-10 16:36:22 +0200 c75341d0529cf3cde60f057d3cd931c1e5dd225f (patch) b2bf258f265707a153b9a14a000e9de073add894 d4360a4f8b7d29aedf6f9af0a878a9060d434ea2 (diff)
add (M+1)st Price auction global-view script
-rw-r--r--gp-scripts/m+1stPrice35
1 files changed, 17 insertions, 18 deletions
 diff --git a/gp-scripts/m+1stPrice b/gp-scripts/m+1stPriceindex 8407e96..a6ac17c 100644--- a/gp-scripts/m+1stPrice+++ b/gp-scripts/m+1stPrice@@ -5,6 +5,8 @@ \\ Adapt the following values to your needs \\\\\\\\\\\\ +\\ auction parameter+M = 1 \\ amount of bidders n = 2^3 \\ amount of possible prices@@ -16,20 +18,18 @@ bid = vector(n,i,random(k)+1) \\bid = vector(n,i,(i+1)%2) \\ second bidder wins (with ties) \\ prime finite field setup (result may be ambiguous if your prime is too small, 4*n*k seems to work fine)-q = prime(4*n*k)--\\\\\\\\\\\\-\\ SETUP-\\\\\\\\\\\\--\\ p not needed? wat?-\\p = 47--\\ get generator / primitive element for Z_q-var = 'x \\ copy pasta from internet-pe=ffgen(minpoly(ffprimroot(ffgen(ffinit(q,1))),var),var) \\ get primitive element-1/(fforder(pe) == q-1) \\ error out, if ord(pe) is wrong-g = Mod(eval(Str(pe)), q) \\ dirty hack to convert t_FFELEM to t_INT+\\p = 263+\\q = (p-1)/2+\\ use save prime p+q = prime(2^12)+p = 2*q + 1++\\ get generator / primitive element for G_q+\\var = 'x \\ copy pasta from internet+\\pe=ffgen(minpoly(ffprimroot(ffgen(ffinit(p,1))),var),var) \\ get primitive element+\\1/(fforder(pe) == p-1) \\ error out, if ord(pe) is wrong+\\g = Mod(eval(Str(pe))^2, p) \\ dirty hack to convert t_FFELEM to t_INT+g = Mod(4, p) \\\\\\\\\\\\ \\ PROLOG@@ -66,8 +66,8 @@ beta = matrix(n,k,i,j, g^r[i,j]) \\ multiplicative shares \\ first index level = owning agent id (multiplicative share) \\ second index level = agent id, price id-Gamma = vector(n,a,matrix(n,k,i,j, ( prod(h=1,n,prod(d=j+1,k,alpha[h,d])) * prod(d=1,j-1,alpha[i,d]) * prod(h=1,i-1,alpha[h,j]) )^m[a][i,j] ))-Delta = vector(n,a,matrix(n,k,i,j, ( prod(h=1,n,prod(d=j+1,k, beta[h,d])) * prod(d=1,j-1, beta[i,d]) * prod(h=1,i-1, beta[h,j]) )^m[a][i,j] ))+Gamma = vector(n,a,matrix(n,k,i,j, ( prod(h=1,n,prod(d=j,k,alpha[h,d])*prod(d=j+1,k,alpha[h,d])) * prod(d=1,j,alpha[i,d])^(2*M+2) / g^(2*M+1) )^(m[a][i,j]) ))+Delta = vector(n,a,matrix(n,k,i,j, ( prod(h=1,n,prod(d=j,k, beta[h,d])*prod(d=j+1,k, beta[h,d])) * prod(d=1,j, beta[i,d])^(2*M+2) )^(m[a][i,j]) )) \\\\\\\\\\\\ \\ ROUND3@@ -84,8 +84,7 @@ Phi = vector(n,a,matrix(n,k,i,j, prod(h=1,n,Delta[h][i,j])^x[a] )) \\ winner matrix v = matrix(n,k,a,j, prod(i=1,n,Gamma[i][a,j]) / prod(i=1,n,Phi[i][a,j]) )- vi = lift(v) print("bids are: ", bid)-for(X=1,n, if(vecmin(vi[X,])==1, print("And the winner is ", X) ))+for(X=1,n, if(vecmin(vi[X,],&i)==1, print("And the winner is ", X, " with the price ", i) ))