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Metrics

Simulation Metrics / Indicators

Participation Rate (Aggregate Behavioral Variable)

  • Measures the percentage of agents actively participating in elections at a given time.
  • Helps evaluate the participation dilemma by analyzing participation across the group and comparing rates for majority vs. minority groups.

Altruism Factor (Individual Behavioral Variable)

  • Quantifies the extent to which agents prioritize the collective good (e.g., the group's accuracy in guessing) over individual preferences, including cases of non-cooperation with a majority they belong to when it conflicts with the (expected) collective good.
  • Additionally, tracking the average altruism factor of personality groups can provide insights, though this may be misleading if agents/groups do not participate.

Gini Index (Inequality Metric)

  • Measures the inequality in asset distribution among agents within the system.
  • Ranges from 0 (perfect equality) to 1 (maximum inequality, where one agent holds all assets).
  • Offers insights into how electoral decisions impact wealth/resource distribution over time.

Collective Accuracy

  • Measures how accurately the group, as a collective, estimates the actual color distribution.
  • This directly influences rewards and serves as a metric for evaluating group performance against a ground truth.

Diversity of Shared Opinions

  • Evaluates the variation in agents' expressed preferences.
  • To track whether participating agents provide diverse input or converge on overly similar opinions (e.g., due to majority influence).

Distance to Optimum

In principle, the optimal decision can be determined based on a predefined goal, allowing the distance between this optimum and the group's actual decision to be measured.

Possible predefined goals include:

  1. Utilitarian:

    • Maximize the total sum of distributed rewards.
    • Focus on the total reward, regardless of how it is distributed.

  2. Egalitarian:

    • Minimize the overall inequality in individual rewards.
    • Focus on fairness, aiming for a more just distribution of rewards among members.

  3. Rawlsian:

    • Maximize the rewards for the poorest (personality-based) group.
    • Inspired by John Rawls' Difference Principle, the focus is on improving the well-being of the least advantaged group while tolerating inequalities elsewhere.