

![0_image_0.png](0_image_0.png)

```
   The MN results in a path, showed in Figure 14, from node 8 to node 41 of the
graph in Figure 12.
                                                                             

```

3.3.3 Consistent Stubbornness Knowledge Suppose that the agents' stubbornness knowledge are *compatible*, i.e. they are consistent and no one is a restriction or a generalization of the other. Then
(stubi ∨ stubj ) ∧ ¬(stubi → stubj ) ∧ ¬(stubj → *stub*i)
The compatibility relation between stubbornness theories is represented in RCC5 as the partial overlapping relation between eggs. We assumed that if the stubbornness part of the agent theory never changes, then the models satisfying it are fixed at the beginning of the negotiation process.

On the other hand, the flexible sets are relaxed or changed during the negotiation process so the models satisfying them change during the negotiation. The *flexible models* are the yolks of the RCC theory.

In Table 10, we show the possible yolk configurations and we give a statement representing the configuration, i.e. the negotiation state.