Table 8 The scheduling corresponding to the three solutions (seconds are in brackets) and the “real” utilities of the TOs (Example 2)

Nash

TO1

10.08(.30)

$u_1^r\left(10.08\right)=68\frac{2}{3}$

TO2

10.06(.30)

u ^r₂ (10.06) = 41

Kalai-Smorodinsky

TO1

10.10(.00)

$u_1^r\left(10.10\right)=66\frac{2}{3}$

TO2

10.08(.00)

u ^r₂ (10.08) = 42

Egalitarian

TO1

10.12(.20)

$u_1^r\left(10.12\right)=63\frac{14}{25}$

TO2

10.10(.20)

$u_2^r\left(10.10\right)=43\frac{14}{25}$