On the enforcement value of soft correlated equilibrium for two-facility simple linear congestion games

Exact enforcement values (Ashlagi I, Monderer D and Tennenholz M (2008) Journal of Artificial Intelligence 33:575-613) of soft correlated equilibrium (Forgó F (2010) Mathematical Social Sciences 60:186-190) for non-decreasing and mixed two-facility simple linear congestion games (including n-person chicken and prisoners' dilemma games) are determined and found to be 1 and 2, respectively. For non-inreasing two-facility simple linear congestion games lower and upper bounds are given for the enforcement value. The upper bound 1,265625 is significantly better than the previously known 1,333