Example Application of the b-Core: Buyer Coalition Problem with Beliefs - Belief-based Stability in Coalition Formation with Uncertainty - page 142

120
100
80
60

b-strategy wins
nb-strategy wins
Ties

40
20
0

4 6 8 10
Number of Agents

Fig. 5.5 The b-strategy vs. the nb-strategy.

and he will therefore just passively wait for other agent's proposal for
himself. The result is shown in Figure 5.6, where we see that the b-
strategy is superior, as the number of wins obtained by the b-strategy
exceeds those of the nb-strategy.

120
100
80
60
40
20
0

b-strategy wins
nb-strategy wins
Ties

4 6 8 10

Number of Agents

Fig. 5.6 The b-strategy vs. the passive strategy.

Thus the experiments show that it is generally advantageous for
the agents to follow the b-strategy.

5.5 Summary

In this chapter, we see an example of how the b-core criterion can be
used in analytical works of coalition formation mechanisms.