Lattice Structure and Convergence of a Game of Cards

We study the dynamics of the so-called Game of Cards by using tools developed in the context of discrete dynamical systems. We extend a result of [4] and [10] (the last one in the context of distributed systems) that established a necessary and sufficient condition for the game to converge. We precisely describe the lattice structure of the set of configurations and we state bounds for the convergence time.

• Type: Journal
• Year: 2000
• Where: CORR
• Authors: Eric Goles Ch., Michel Morvan, Ha Duong Phan
• Keywords: CORR 2000, Discrete Dynamical Systems, Education, So-called Game, Sufficient Condition