English, Article, Journal or magazine article edition: Voronoi game on disjoint open curves M Dziubinski

User activity

Share to:
 
Bookmark: http://trove.nla.gov.au/version/59474
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • Voronoi game on disjoint open curves
Author
  • M Dziubinski
Physical Description
  • preprint
Notes
  • Two players are endowed with resources for setting up N locations on K open curves of identical lengths, with N > K greater than or equal to 1. The players alternately choose these locations (possibly in batches of more than one in each round) in order to secure the area closer to their locations than that of their rival's. The player with the highest secured area wins the game and otherwise the game ends in a tie. Earlier research has shown that, if an analogical game is played on disjoint closed curves, the second mover advantage is in place only if K =​ 1, while for K > 1 both players have a tying strategy. It was also shown that this results hold for open curves of identical lengths when rules of the game additionally require players to take exactly one location in the rst round. In this paper we show that the second mover advantage is still in place for K greater than or equal to 1 and 2K -1 less than or equal to N, even if the additional restriction is dropped, while K is less than or euqal to N < 2K -1 results in the first mover advantage. We also study a natural variant of the game, where the resource mobility constraint is more stringent so that in each round each player chooses a single location and we show that the second mover advantage re-appears for K is less than or equal to N < 2K -1 if K is an even number.
  • Competitive locations, Disjoint spaces, Winning/​Tying strategies, Equilibrium congurations.
  • RePEc:lan:wpaper:005349
Language
  • English
Contributed by
OAIster

Get this edition

Other links

  • Set up My libraries

    How do I set up "My libraries"?

    In order to set up a list of libraries that you have access to, you must first login or sign up. Then set up a personal list of libraries from your profile page by clicking on your user name at the top right of any screen.

  • All (1)
  • Unknown (1)
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.
None of your libraries hold this item.

User activity


e.g. test cricket, Perth (WA), "Parkes, Henry"

Separate different tags with a comma. To include a comma in your tag, surround the tag with double quotes.

Be the first to add a tag for this edition

Be the first to add this to a list

Comments and reviews

What are comments? Add a comment

No user comments or reviews for this version

Add a comment