nash_points
- negmas.preferences.nash_points(ufuns, frontier, ranges=None, outcome_space=None, issues=None, outcomes=None, eps=1e-12)[source]
Calculates all the Nash Bargaining Solutions on the Pareto frontier of a negotiation.
- Parameters:
ufuns (Sequence[UtilityFunction] | None) – A list of ufuns to use. If not given, the reserved value is assumed to be zero for all ufuns
frontier (Sequence[tuple[float, …]]) – a list of tuples each giving the utility values at some outcome on the frontier (usually found by
pareto_frontier
) to search withinranges (Sequence[tuple[float, …]] | None) – The ranges of the utility functions involved.
outcome_space (OutcomeSpace | None) – The outcome-space to consider
issues (Sequence[Issue] | None) – The issues on which the ufun is defined (outcomes may be passed instead)
outcomes (Sequence[Outcome] | None) – The outcomes on which the ufun is defined (outcomes may be passed instead)
- Returns:
A tuple of utility values at the Nash point
The index of the given frontier corresponding to the Nash point
- Return type:
A list of tuples (empty if cannot be calculated) each consists of
Remarks:
The function searches within the given frontier only.