Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Tuesday, December 01, 2009, 12:15 pm

**Duration**: This information is not available in the database

**Location**: OAT S15/S16/S17

**Speaker**: Gabriel Nivasch

Wythoff's game is the following two-player game: There are two piles of tokens. On each turn, a player takes either any number of tokens from one pile, or the same number of tokens from both piles. The last player to move is the winner. The winning strategy for this game is well-known (Wythoff, 1907).

The Sprague-Grundy function (Sprague, 1936; Grundy, 1939) is something that allows one to play "sums" of impartial games. The Sprague-Grundy function for Wythoff's game looks quite chaotic, but we prove the following simple property: For every fixed g, the n-th g-value is always within a bounded distance of the n-th 0-value.

We also briefly describe a recursive algorithm for finding the n-th g-value in time O(log n), but which depends on an unproven "convergence" conjecture.

At the end we will mention an open problem regarding 3-row Chomp (another game) of very similar flavor.

This work is based on the speaker's Master's thesis (Weizmann Institute of Science, 2005).

Upcoming talks | All previous talks | Talks by speaker | Upcoming talks in iCal format (beta version!)

Previous talks by year: 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996

Information for students and suggested topics for student talks

Automatic MiSe System Software Version 1.4803M | admin login