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riddler-castles/castle-solutions-3: 51

This directory contains the data behind the submissions for castles puzzle.

Readers were asked to submit a strategy for the following “Colonel Blotto”-style game:

In a distant, war-torn land, there are 10 castles. There are two warlords: you and your archenemy. Each castle has its own strategic value for a would-be conqueror. Specifically, the castles are worth 1, 2, 3, …, 9, and 10 victory points. You and your enemy each have 100 soldiers to distribute, any way you like, to fight at any of the 10 castles. Whoever sends more soldiers to a given castle conquers that castle and wins its victory points. If you each send the same number of troops, you split the points. You don’t know what distribution of forces your enemy has chosen until the battles begin. Whoever wins the most points wins the war.

Submit a plan distributing your 100 soldiers among the 10 castles. Once I receive all your battle plans, I’ll adjudicate all the possible one-on-one matchups. Whoever wins the most wars wins the battle royale and is crowned king or queen of Riddler Nation!

The data includes all valid submissions, with solvers’ identifying information removed. The 11 columns represent the soldiers deployed to each of the 10 castles, plus a column where the reader could describe his or her strategic approach.

Correction

Please see the following commit: https://github.com/fivethirtyeight/data/commit/c3f808fda5b67aa26ea6fa663ddd4d2eb7c6187f

Data source: https://github.com/fivethirtyeight/data/blob/master/riddler-castles/castle-solutions-3.csv

This data as json

rowid Castle 1 Castle 2 Castle 3 Castle 4 Castle 5 Castle 6 Castle 7 Castle 8 Castle 9 Castle 10 Why did you choose your troop deployment?
51 1 3 5 5 5 5.0 5.0 32.0 5.0 34.0 The most prominent strategies that have been winning have been strategies that have had the "four castle" strategy which would win the slight majority of the points (28). Assuming this is the strategy most people seek to optimize on I wanted to build a strategy that would beat these strategies. Every four base must win either castle 10 or castle 8 to reach this 28 point threshold (which is the primary way they win). After that the number of troops sent to the other castles should be greater than with a four castle strategy that you win the rest of the needed points on the castles that others gave over for free. I would like to test it with 30 in bases 8,10 and 5 troops in 1 and 3 as well but I think you need to make sure you juice your troop count in the bases you are going for because if you don't win at least one of those you are going to be in trouble. You will also lose to a split evenly strategy but I don't think that will be popular as most people will look at the data and realize you probably want to have a win condition.
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