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2. The further assumptions would need to relate particular options to particular privileged levels of utility; for instance, one would need to argue that a rational agent's preference ordering should incorporate, say, a privileged zero-utility option, in which case ratios of utility distances from this option would be meaningful.
The normalized distances and utility-distance products of initially possessed goods are presented in Table 7.
Figure 6 shows the utility-distance product of each item to the respective player.
By the same concept, to maintain zero utility-distance product equilibrium, the sum of utility-distance product vectors by all the items is equally divided for the players (Figure 4).
This can save computation of the utility-distance products for the goods of bargain that can be initialized a priori.
By suitably locating a pivot location such that distribution of the utility-distance product vectors are uniformly positioned about a pivot, equilibrium can be achieved.
Cumulative values of utility
These goods can be assigned by determining the utility
The equilibrium condition is
The initial values of the utility sums for the villages are
Here, we obtain
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