By clicking the button below you are agreeing to the terms of service.
<placeholder>
<placeholder>
<placeholder>
<placeholder>.
<placeholder>
Hrvatski
Dansk
Nederlands
English
Eesti
Français
Deutsche
ελληνικά
Magyar
Italiano
Norsk
Português
Español
Svenska
 
+ Reply to Thread
Results 1 to 3 of 3
  1. #1
    Level 6: Prominent Opinion Virtuoso is on a distinguished road Virtuoso's Avatar
    Join Date
    May 2019
    Posts
    131

    Question on Defender Strength

    Hi folks

    OK - so I don't know what's intuitively correct here. Assuming random dice, which of the following two troop layouts are easier to conquer?

    --> 30 total troops

    Layout A: 3 terts, 10 troops each
    Layout B: 13 terts, with a assortment of 1, 2, and 3 troops each

    To answer this question, I've tried comparing A and B at their extremes.
    Layout A1: 1 tert, 30 troops on it
    Layout B1: 30 terts, each holding 1 troop

    Comparing A1 and B1, attacking B1 has the "advantage" that each attack will result in a maximal attack of 3 attackers vs 1 defender. So every attack has optimal odds to succeed. In A1, until and only if the tert has only 1 troop remaining, does it defend with anything other than 2 troops. So almost or sometimes all the attacks are of the less optimal 3v2 (assuming a big stack is attacking). As such, it would seem the B1 layout to be preferable for an attacker.

    B1 however, requires the attacker to leave an "occupying" troop for each tert he conquers, so his stack gets reduced as he conquers. Put another way, if you did 32v30 for A1, there are great odds a conquer will occur, but if you did 32v(1x30) (so a stack of 32 attacking 30 terts each with one troop), I don't think anyone would count on a total victory. So in A1 vs B1, an equivalently-sized stack is more likely to defeat A1 compared to B1.

    Does this give us any more information on which of A or B is a preferable target? I can't figure it out.

    Thoughts?

  2. #2
    Level 8: Renowned Expert sannheten knows their way around sannheten's Avatar
    Join Date
    Aug 2012
    Posts
    506
    Hi.

    Layout A is much easier to conquer. The attacker has to leave 1 troop in every tert, and attacker B will need some 8 troops more to win than attacker A.

  3. #3
    Level 6: Prominent Opinion Virtuoso is on a distinguished road Virtuoso's Avatar
    Join Date
    May 2019
    Posts
    131
    After I wrote the post, it did seem A was easier than B. I guess the reason is the "advantage" of having 3v1 in B1 is not offset by the fact that the attacker in A1 loses an attacking troop for every winning roll of the dice. Extending the idea further, A is therefore easier to defeat than B.

    Quote Originally Posted by sannheten View Post
    attacker B will need some 8 troops more to win than attacker A.
    No understand. Can you explain where you are getting this?

    I suppose the next question is, how does one quantify the advantage of A over B? Most choices are seldom apples and apples like that. It'll be deciding whether to attack 41 troops over 12 terts *OR* 36 troops over 17 terts. Any formula to plug the numbers into?

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
Are you searching for a place to play RISK online? Try a Risk-Like game here at Major Command. We offer a unique global conquest game that will satisfy your RISK online cravings. RISK is a trademark of Hasbro. Major Command is not associated with Hasbro or thier RISK game in any way. | Privacy | Terms | Flash10+ required.
Major Command Game is always working on Upgrades and Improvements - Please suport us if you can. Thank You! :-)
Membership Options