Chance, Structure, and Flight: A Theoretical Lens on Okrummy, Rummy, and Aviator
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Games that blend uncertainty, structure, and tempo invite theoretical scrutiny because they distill how humans trade information for risk. Okrummy, rummy, and Aviator exemplify three adjacent design logics: set-collection under partial information (rummy), digitally mediated variants that reshape incentives and pacing (okrummy), and a continuous-time crash process with a volatile payoff surface (Aviator). Examining them together illuminates how probability, game theory, and interface design co-author behavior. Rummy, broadly conceived, is a family of melding games in which players build sets or runs while managing a hand’s exposure to opponent inference. The theoretical core is a tension between combinatorial search and information leakage. Every draw expands the frontier of feasible melds