All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Games
Greater Than Game (Posted on 2007-04-24) Difficulty: 4 of 5
The Greater Than Game is a playable adaptation of Always Greater. The rules of the Greater Than Game are as follows:

Players
- At least two players are needed to play, plus one more person acting as an impartial moderator.

Gameplay
- A game consists of a series of rounds described as follows:
- The moderator announces an integer N and then secretly chooses a random integer R in the range 1 to N. The value of N should be much greater than the number of players.
- The first player then calls out an integer in the range 1 to N. In subsequent turns, the players alternate calling integers greater than the previously called integer but not more than N.
- The round ends when one player calls an integer which is greater than or equal to R, at which point the moderator will announce the player has 'busted', meaning he has matched or exceeded R and lost the round.

Scoring
- When a player busts, he loses points equal to the amount he went over R, if he said exactly R then there is no penalty.
- Each other player scores the difference between their last call and the call before that. If a player has not made any calls, then he scores 0.

Example game 1
Three players A, B, C. N=20, R=18
A:8, B:12, C:15, A:17, B:19=busted
A scores 17-15=2, B penalized 19-18=1, C scores 15-12=3

Example game 2
Three players A, B, C. N=20, R=7
A:4, B:7=busted
A scores 4-0=4, B penalized 7-7=0, C scores 0

What is a player's best strategy if he wants to simply avoid busting?
What is a player's best strategy if he wants to maximize his expected points for a round?

No Solution Yet Submitted by Brian Smith    
Rating: 3.3333 (3 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
My thoughtsDej Mar2007-04-28 17:26:49
Surely this has to be challengedbrianjn2007-04-28 01:17:38
Inspired - and first thoughtsbrianjn2007-04-25 08:19:21
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information