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 explore the switching-algebraic computation of the Banzhaf indices forgeneral and monotone or unrestricted systems. This computation is achieved via(a) two Boolean-quotient formulas that are valid when the voting system is notnecessarily monotone (e.g., when coalition formation is restricted), (b) fourBoolean differencing formulas and six Boolean-quotient formulas that areapplicable when the decision switching function is a positively polarized unateone. We also provide switching-algebraic formulas for certain Banzhaf-relatedindices, including the power-to-initiate index (PII), and the power-to-preventindex (PPI), as well as satisfaction indices. Moreover, we briefly addressother Banzhaf-related indices, including the Strict Power Index (SPI) and thePublic Good Index (PGI). We illustrate the various indices formulas by way offour examples of voting systems, each considered first as an unrestrictedmonotone system and then subjected to a restriction on the formation of acoalition between two particular voters.

Towards a Switching-Algebraic Theory of Weighted Voting Systems: Exploring Restrictions on Coalition Formation