And the Resource probability distribution being less fair.Here is the breakdown. Here the score is again higher on number clustering, with the 9-10-11 in pair. But no one said that the average should be considered a balance board!This could merely indicate someone may want to look at lower scoring boards when looking for a truly balanced board!Here is a second average scoring board. And the number clustering is a bit fast to get to high-values given that only 2 sets of numbers touching are needed to be at 0.333.Maybe the resource clustering could be given greater weight in the final index. This board has a few elements that score higher, namely the resource clustering, and the number clustering.The effects of resource clustering are much more eye-catching than those of the number clustering. Looking at boards from the 100 million generated boardsOver a range of 100 million generated random islands, the average CIBI score was 0.243, with a standard deviation of 0.056.For the curious, here is the CIBI score distribution for the generated boards. Going deeperOnce you start digging into board balance, a more complex question quickly emerges:Is a balanced board inherently fair?In my next article, I’ll have a deeper look at how the players choose their first settlement and try to determine if the first, or last player has the most to gain by playing on certain boards! We will then try to determine what is a fair or unfair board and if balanced boards are fairer than others!(Here is a sneak peek of a settlement selection simulation, when ignoring the resource types). So I decided to investigate some and see what we can learn from them. With more than 22 million copies sold since its creation, Catan is, without doubt, one of the most played board games in the world.There are many reasons for the game success: its gameplay is simple, fast, and offers a good balance between luck and strategy.But with time, and the recent explosive diversification of board games, it is not hard to find Catan detractors! But there is a ton of enthusiast Catan players, and even if I often tend to gravitate towards heavier games, I count myself among them!Criticisms of games are often interesting because there is often some truth to them.
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