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Global Optimization on Randomly generated single-player IREFGs 1.0 (50 random instances)

0.02SOS Time (s)Moment-SOS
-0.24481.54263.335.1174Feb 25, 2026

Evaluation results

MethodLinks
Moment-SOSl (number of infosets)=2, Du (maximum total degree of the utility polynomial)=4, DSOS (maximum polynomial degree used in SOS relaxation)=42026.020.02——
Moment-SOSl (number of infosets)=3, Du (maximum total degree of the utility polynomial)=4, DSOS (maximum polynomial degree used in SOS relaxation)=42026.020.05——
Moment-SOSl (number of infosets)=2, Du (maximum total degree of the utility polynomial)=6, DSOS (maximum polynomial degree used in SOS relaxation)=62026.020.09——
Moment-SOSl (number of infosets)=4, Du (maximum total degree of the utility polynomial)=4, DSOS (maximum polynomial degree used in SOS relaxation)=42026.020.22——
Moment-SOSl (number of infosets)=2, Du (maximum total degree of the utility polynomial)=8, DSOS (maximum polynomial degree used in SOS relaxation)=82026.020.75——
Moment-SOSl (number of infosets)=5, Du (maximum total degree of the utility polynomial)=4, DSOS (maximum polynomial degree used in SOS relaxation)=42026.020.88——
Moment-SOSl (number of infosets)=6, Du (maximum total degree of the utility polynomial)=4, DSOS (maximum polynomial degree used in SOS relaxation)=42026.023.74——
Moment-SOSl (number of infosets)=2, Du (maximum total degree of the utility polynomial)=10, DSOS (maximum polynomial degree used in SOS relaxation)=102026.026.64——
PGDl (number of infosets)=2, Du (maximum total degree of the utility polynomial)=4, DSOS (maximum polynomial degree used in SOS relaxation)=42026.02—0.0580.72
PGDl (number of infosets)=2, Du (maximum total degree of the utility polynomial)=6, DSOS (maximum polynomial degree used in SOS relaxation)=62026.02—0.0888.16
PGDl (number of infosets)=2, Du (maximum total degree of the utility polynomial)=8, DSOS (maximum polynomial degree used in SOS relaxation)=82026.02—0.1286.22
PGDl (number of infosets)=2, Du (maximum total degree of the utility polynomial)=10, DSOS (maximum polynomial degree used in SOS relaxation)=102026.02—0.1887.14
PGDl (number of infosets)=3, Du (maximum total degree of the utility polynomial)=4, DSOS (maximum polynomial degree used in SOS relaxation)=42026.02—0.179.2
PGDl (number of infosets)=4, Du (maximum total degree of the utility polynomial)=4, DSOS (maximum polynomial degree used in SOS relaxation)=42026.02—0.1570.72
PGDl (number of infosets)=5, Du (maximum total degree of the utility polynomial)=4, DSOS (maximum polynomial degree used in SOS relaxation)=42026.02—0.1874.56
PGDl (number of infosets)=6, Du (maximum total degree of the utility polynomial)=4, DSOS (maximum polynomial degree used in SOS relaxation)=42026.02—0.2572.72