Conclusion

We have described different forms of knowledge. First there was the regular true common knowledge. Secondly, there was a weaker form of knowledge using a time window we called ε-common knowledge. Finally there was a more weak form which we called eventual common knowledge.
 
It would be admirable if we could attain true common knowledge in all practical situations. This ideal is unfortunately not always possible, so we have to think of ways in which we get some knowledge that is close to true common knowledge. In practice, this seems to work quite well. In the case of ε-common knowledge: the closer the ε comes to zero, the closer we get to common knowledge. In these situations we should try to make the ε as small as possible, in order to work the most efficient.
 
In other situations, eventual knowledge can be used. A point for discussion regarding this kind of knowledge is the value of the knowledge at the time all agents know this knowledge. Of course is this related to the amount of time that has passed before every agent knows that a certain situation holds.
 
We have tried to give the reader more understanding in the paradox of common knowledge versus simultaneous events, and more insight in the special practical forms of common knowledge that have been developed in recent history. It should be noted that this website is not an exhaustive source for forms of common knowledge. Lots of research is being done on different kinds of common knowledge, like probabalistic, time-stamped and concurrent common knowledge.

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