Autor:	Burke, Kyle, Khovanova, Tanya, Lee, Joshua, Nowakowski, Richard J., Rowland, Amelia, Tennenhouse, Craig
Rok vydání:	2022
Předmět:	Mathematics - History and Overview Mathematics - Combinatorics 91A46
Druh dokumentu:	Working Paper
Popis:	We discuss games involving a counterfeit coin. Given one counterfeit coin among a number of otherwise identical coins, two players with full knowledge of the fake coin take turns weighing coins on a two-pan scale, under the condition that on every turn they reveal some information to an Observer with limited prior knowledge about the coins. We study several games depending on the types of the counterfeit coin, the end-game condition, and the availability of extra genuine coins. We present the winning positions and the Grundy numbers for these games. Comment: 11 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2201.04973 Zobrazit plný text záznamu View this record from Arxiv