# Transparent Task Delegation in Multi-Agent Systems Using the QuAD-V Framework
## 5 Experimental Results
### Results  
In Figure 3, the results obtained from the simulation are presented. Note that the success rate, rejection rate, competence score, and the acceptance score over iterations are shown for each inner base (i.e., bases able to act as partners). Bases with a higher probability of failure are more likely to be unable to complete a task or fail to meet performance estimations, which negatively affects their success rate and competence score, making them less reliable as delegatees. Moreover, as can be seen in Figure 3, in the first iterations (generally up to around iteration 25), the delegators tend to explore their partner options in order to find the most suitable delegatee. These initial iterations represent a learning period during which delegators collect information about their partners as they interact with others (i.e., producing their own impressions through direct experiences or receiving opinions from third parties). After the learning phase, delegators tend to exploit the best partner choices, resulting in more stable partner behavior, as the best choices have already been discovered, and the probability of random selections decreases with each new iteration. As expected, the best route identified in our simulation prioritized bases with lower failure likelihoods (Figure 2), minimizing the risks associated with failed delegations. In particular, a base \(b_{i}\) is part of a transportation route if, at some point during the iteration, it was used to temporarily store a quantity of the product. The results confirm this behavior through the analysis of the acceptance score curve (red line). The agents included in the best route demonstrate a balanced combination of success rate, competence score and rejection rate, making them the most suitable choices for delegation. In particular, when considering the rejection rate to select a partner, a delegator considers not only the partner's ability to complete a task or meet its expected performance but also its availability, which reflects how often a base has refused a task due to being occupied or lacking the capacity to store the received product. Another crucial aspect shown in Figure 3 is the threshold values (\(TH_{A}\) and \(TH_{B}\)), which determine how delegators vote on partners' arguments in the QuAD-V framework, affecting their acceptance scores. \(TH_{A}\) evaluates a partner's effectiveness and competence: to be positively rated, a partner must have values for success rate and competence score greater than or equal to 0.7. This threshold ensures that only partners demonstrating at least 70% of the maximum performance are positively rated, favoring those with a strong history of successful task execution and high competence. \(TH_{B}\) evaluates availability: a partner is considered available if its rejection rate is below 0.3. Since the rejection rate ranges from 0 to 1, this threshold allows for occasional rejections due to workload constraints while ensuring that partners remain sufficiently accessible to be considered reliable. These thresholds directly influence the acceptance score by setting criteria for positive evaluations. Bases that meet these conditions receive higher scores and are more likely to be selected as delegates. The success rate, rejection rate, competence score and acceptance score reflect a partner's overall performance at the end of each iteration. The acceptance score of an answer argument, however, is computed by the delegator during partner selection. At last, we present in Table 1 the average values of the performance metrics for each inner base, considering a window of iterations from 25 to 100. This window was selected because, around iteration 25, delegators tend to exploit known partners with acceptable and well-established behaviors rather than explore unknown or less familiar ones, leading to system stabilization. Note that Table 1 confirms the performance of the bases that form the best route (\(b_{2}\), \(b_{3}\), \(b_{4}\), \(b_{6}\), \(b_{8}\)).