Add 'Rummy in Theory and Platform: From Combinatorial Play to Aviato and OK Rummy'

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Bradly Olivares 3 months ago
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      Rummy-in-Theory-and-Platform%3A-From-Combinatorial-Play-to-Aviato-and-OK-Rummy.md

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Rummy-in-Theory-and-Platform%3A-From-Combinatorial-Play-to-Aviato-and-OK-Rummy.md

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<br>Rummy is a family of melding games whose enduring appeal lies in the tension between probabilistic uncertainty and combinational structure. Each hand asks players to transform a noisy, partially observed state into ordered sets and runs, using draws, discards, and memory to maximize expected value. Theoretical analysis begins with the deck’s entropy: hidden information is concentrated in opponents’ hands and the stock, while mutual information grows through [discard signals](https://de.bab.la/woerterbuch/englisch-deutsch/discard%20signals). Optimal play balances exploitation of immediate meld opportunities with exploration that preserves flexible "live" cards, a dynamic akin to frontiers in reinforcement learning.
From a combinatorial viewpoint, a hand can be modeled as a dynamic partition problem under stochastic arrivals. Feasible partitions correspond to meld covers
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