Quantitative Rule-Based Strategy modeling in Classic Indian Rummy: A Metric Optimization Approach

📝 Original Info

• Title: Quantitative Rule-Based Strategy modeling in Classic Indian Rummy: A Metric Optimization Approach
• ArXiv ID: 2601.00024
• Date: 2025-12-26
• Authors: Purushottam Saha, Avirup Chakraborty, Sourish Sarkar, Subhamoy Maitra, Diganta Mukherjee, Tridib Mukherjee

📝 Abstract

The 13-card variant of Classic Indian Rummy is a sequential game of incomplete information that requires probabilistic reasoning and combinatorial decision-making. This paper proposes a rule-based framework for strategic play, driven by a new hand-evaluation metric termed MinDist. The metric modifies the MinScore metric by quantifying the edit distance between a hand and the nearest valid configuration, thereby capturing structural proximity to completion. We design a computationally efficient algorithm derived from the MinScore algorithm, leveraging dynamic pruning and pattern caching to exactly calculate this metric during play. Opponent hand-modeling is also incorporated within a two-player zero-sum simulation framework, and the resulting strategies are evaluated using statistical hypothesis testing. Empirical results show significant improvement in win rates for MinDist-based agents over traditional heuristics, providing a formal and interpretable step toward algorithmic Rummy strategy design.

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