Talk:Price of stability

The defining ratio for PoS is inverted

The ratio: ${\text{PoS}}={\frac {\text{value of best Nash equilibrium}}{\text{value of optimal solution}}}$, should be inverted. As is it is inconsistent with the wiki page Price of anarchy, and it is increasing as a function of the value of the best equilibrium, while it should be decreasing, and it should be minimal when the best equilibrium matches the optimum. Thus the formula should read

${\text{PoS}}={\frac {\text{value of optimal solution}}{\text{value of best Nash equilibrium}}},\ {\text{PoS}}\geq 1$,

and the rest of the page should be modified accordingly: for instance the PoS is 2 for the prisoner's dilemma with the values used in the page. Plm203 (talk) 11:30, 21 October 2023 (UTC)