pluralitybook / plurality

Root repository for ⿻數位 Plurality: The Future of Collaborative Technology and Democracy by E. Glen Weyl, Audrey Tang and the Plurality Community
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Mathematical exercises in Identity chapter #88

Open pluralitybook opened 1 year ago

pluralitybook commented 1 year ago

The Identity chapter contains some back-of-the-envelope mathematical illustrations that could be both substantively improved and illustrated/explained more effectively.

pluralitybook-dao commented 8 months ago

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pluralitybook-dao commented 8 months ago

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nishio commented 8 months ago

This section? I could not understand the explanation.

The polycentric approach tries to manage this problem by limiting the number of players. While this obviously limits pluralism some, it is not a major problem as long as participants maintain a reasonable diversity of affiliations. Suppose, for example, that we have a population of 10 billion, each person maintains 100 relationships with potentially verifying institutions (e.g. governments, churches, employers etc.). Suppose that to have a reasonable chance for verification to work, any two people meeting must share at least 5 overlapping memberships. If memberships are randomly distributed, 300 verifiers could co-exist and still allow the chance that verification fails for any random pair of individuals to be one in several million. Of course, individuals who meet are rarely random nor do they form their affiliations randomly, nor are 5 overlapping memberships likely to be absolute necessary for most interactions especially among people meeting randomly. All of these suggest many more verifiers could thrive in such an environment of plural memberships.

Yet this number would clearly be far smaller than the population size, perhaps around 100,000, the number with the property that it goes into 10 billion 100,000 times. This would be vastly more pluralistic than our current identity landscape, allowing a far better trade-off between autonomy/control and funcitonality/security. But is even more possible?

pluralitybook-dao commented 7 months ago

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pluralitybook-dao commented 7 months ago

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pluralitybook-dao commented 6 months ago

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pluralitybook-dao commented 1 month ago

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