English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider an odd-sized "jury", which votes sequentially between two statesof Nature (say A and B, or Innocent and Guilty) with the majority opiniondetermining the verdict. Jurors have private information in the form of asignal in [-1,+1], with higher signals indicating A more likely. Each juror hasan ability in [0,1], which is proportional to the probability of A given apositive signal, an analog of Condorcet's p for binary signals. We assume thatjurors vote honestly for the alternative they view more likely, given theirsignal and prior voting, because they are experts who want to enhance theirreputation (after their vote and actual state of Nature is revealed). For afixed set of jury abilities, the reliability of the verdict depends on thevoting order. For a jury of size three, the optimal ordering is always asfollows: middle ability first, then highest ability, then lowest. Forsufficiently heterogeneous juries, sequential voting is more reliable thansimultaneous voting and is in fact optimal (allowing for non-honest voting).When average ability is fixed, verdict reliability is increasing inheterogeneity.  For medium-sized juries, we find through simulation that the median abilityjuror should still vote first and the remaining ones should have increasing andthen decreasing abilities.

Optimizing Voting Order on Sequential Juries: A Median Voter Theorem and Beyond