Skip to main content

Mathematical Games

  • Chapter
  • First Online:
Combinatorics

Part of the book series: Problem Books in Mathematics ((PBM))

  • 3967 Accesses

Abstract

The nim game is defined as follows. Suppose there are a few piles with a finite number of coins in each of them. Two players alternately take any number of coins from any single one of the piles. The winner is the player who removes the last coin (or the last few coins). Suppose now that two players, A and B, are playing the nim game, and that player A makes the first move. Is there a winning strategy for player A or B? If the answer to this question is yes, how should the player with a winning strategy play? Let us first consider some examples.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 69.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Mladenović, P. (2019). Mathematical Games. In: Combinatorics. Problem Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-00831-4_11

Download citation

Publish with us

Policies and ethics