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Journal Article
The (2, m, 2, ∞, r)-Wizard of Houses
2020
Overview
The (n, m, l, t, r)-Wizard of houses is a game played by n players p1, p2, p3, ..., pn on a board with m houses. There are l colors of token, and t tokens for each color. Each player chooses one color from the l colors, so that each has a different color. Player p1 starts the game by choosing one token of any color and putting it into any house. Players p2, p3, p4, ..., pn follow suit, until one round is completed. The game is over when the rth round ends or after the tokens are all played, whichever comes first. In each house, each player who has the highest number of his own colored tokens receives one point. The winner is the player who has the highest score. In this paper, we determine the (2, m, 2, ∞, r)-Wizard of houses. We provide non-losing strategies for both players.
Publisher
IOP Publishing
Subject
