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Cinder: A fast and fair matchmaking system

arXiv:2602.17015v1 Announce Type: new Abstract: A fair and fast matchmaking system is an important component of modern multiplayer online games, directly impacting player retention and satisfaction. However, creating fair matches between lobbies (pre-made teams) of heterogeneous skill levels presents a significant challenge. Matching based simply on average team skill metrics, such as mean or median rating or rank, often results in unbalanced and one-sided games, particularly when skill distributions are wide or skewed. This paper introduces Cinder, a two-stage matchmaking system designed to provide fast and fair matches. Cinder first employs a rapid preliminary filter by comparing the "non-outlier" skill range of lobbies using the Ruzicka similarity index. Lobbies that pass this initial check are then evaluated using a more precise fairness metric. This second stage involves mapping player ranks to a non-linear set of skill buckets, generated from an inverted normal distribution, to

S
Saurav Pal
· · 1 min read · 6 views

arXiv:2602.17015v1 Announce Type: new Abstract: A fair and fast matchmaking system is an important component of modern multiplayer online games, directly impacting player retention and satisfaction. However, creating fair matches between lobbies (pre-made teams) of heterogeneous skill levels presents a significant challenge. Matching based simply on average team skill metrics, such as mean or median rating or rank, often results in unbalanced and one-sided games, particularly when skill distributions are wide or skewed. This paper introduces Cinder, a two-stage matchmaking system designed to provide fast and fair matches. Cinder first employs a rapid preliminary filter by comparing the "non-outlier" skill range of lobbies using the Ruzicka similarity index. Lobbies that pass this initial check are then evaluated using a more precise fairness metric. This second stage involves mapping player ranks to a non-linear set of skill buckets, generated from an inverted normal distribution, to provide higher granularity at average skill levels. The fairness of a potential match is then quantified using the Kantorovich distance on the lobbies' sorted bucket indices, producing a "Sanction Score." We demonstrate the system's viability by analyzing the distribution of Sanction Scores from 140 million simulated lobby pairings, providing a robust foundation for fair matchmaking thresholds.

Executive Summary

The article introduces Cinder, a two-stage matchmaking system designed to provide fast and fair matches in multiplayer online games. The system employs a rapid preliminary filter using the Ruzicka similarity index and a second stage involving a fairness metric based on the Kantorovich distance. The authors demonstrate the system's viability by analyzing simulated lobby pairings. While Cinder shows promise, its effectiveness may depend on the specific game and player demographics. The approach could be particularly useful in addressing skill disparities and promoting player satisfaction, but its practical implementation and scalability remain to be seen.

Key Points

  • Cinder is a two-stage matchmaking system designed to provide fast and fair matches
  • The system uses the Ruzicka similarity index for preliminary filtering and the Kantorovich distance for fairness metric
  • The authors demonstrate the system's viability using simulated lobby pairings

Merits

Strength in addressing skill disparities

Cinder's approach addresses the challenge of matching heterogeneous skill levels, promoting more balanced games and player satisfaction

Potential for improved player retention

By providing fair matches, Cinder may contribute to increased player engagement and retention

Demerits

Limited generalizability

Cinder's effectiveness may depend on the specific game and player demographics, limiting its applicability across different contexts

Uncertainty around practical implementation

The authors do not provide detailed information on how Cinder would be implemented in real-world scenarios, raising questions about its feasibility and scalability

Expert Commentary

While Cinder presents an innovative approach to matchmaking, its implementation and effectiveness will depend on various factors, including the specific game, player demographics, and technical requirements. The authors' use of the Ruzicka similarity index and Kantorovich distance provides a robust foundation for fairness metrics, but further research is needed to fully understand the system's potential and limitations. As the gaming industry continues to evolve, Cinder's approach may offer valuable insights for game designers and developers seeking to improve player experiences and satisfaction. However, its scalability and practical implementation remain uncertain, and further study is necessary to fully realize its potential.

Recommendations

  • Further research is needed to fully understand the effectiveness and limitations of Cinder in diverse gaming contexts
  • Developers should carefully evaluate Cinder's potential and adapt it to accommodate the specific needs and demographics of their target audience

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