socialranking: A package for constructing ordinal power relations and evaluating social ranking solutions

The package socialranking offers functions to represent ordinal information of coalitions and calculate the power relation between elements or players.

Details

PowerRelation() creates a PowerRelation object. createPowerset() is a convenient function to generate a PowerRelation() or as.PowerRelation() function call for all possible coalitions.

The functions used to analyze power relations can be grouped into comparison functions, score functions and ranking solutions. Ranking solutions produce a SocialRanking object.

Comparison Functions	Score Functions	Ranking Solutions
`dominates()`
`cumulativelyDominates()`	`cumulativeScores()`
`cpMajorityComparison()`^1	`copelandScores()`	`copelandRanking()`
	`kramerSimpsonScores()`	`kramerSimpsonRanking()`
	`lexcelScores()`	`lexcelRanking()`
		`dualLexcelRanking()`
	`L1Scores()`	`L1Ranking()`
	`ordinalBanzhafScores()`	`ordinalBanzhafRanking()`

^1 cpMajorityComparisonScore() is a faster alternative to cpMajorityComparison(), but it produces less data.

powerRelationMatrix() uses relations::relation() to create an incidence matrix between all competing coalitions. The incidence matrix can be displayed with relations::relation_incidence().

Use browseVignettes("socialranking") for more information.