Rummy, in its many regional variants, offers a canonical laboratory for studying the interplay of skill, chance, and social inference in games. Okrummy, a contemporary digital interpretation, extends that laboratory into platform economics and algorithmic governance. Aviator, by contrast, distills uncertainty into a minimalist, high-tempo “crash” mechanic where a multiplier rises until it abruptly ends. Examining these three through a theoretical lens clarifies how rules, information, and incentives shape behavior and perceived fairness. At its core, rummy is a combinatorial optimization problem under partial information. Players seek to transform a stochastic stream of cards into structured melds—sets and runs—while managing exposure and tempo. Each draw updates a belief state over unseen cards