nash_point

negmas.preferences.nash_point(ufuns, frontier, outcome_space=None, issues=None, outcomes=None)

Calculates the nash point on the pareto frontier of a negotiation

Parameters

• ufuns (Iterable[UtilityFunction]) – A list of ufuns to use

• frontier (Iterable[tuple[float]]) – a list of tuples each giving the utility values at some outcome on the frontier (usually found by pareto_frontier) to search within

• outcome_space (Optional[OutcomeSpace]) – The outcome-space to consider

• issues (Optional[list[Issue]]) – The issues on which the ufun is defined (outcomes may be passed instead)

• outcomes (Optional[list[tuple]]) – The outcomes on which the ufun is defined (outcomes may be passed instead)

Return type

tuple[Optional[tuple[float, ...]], Optional[int]]

Returns

A tuple of three values (all will be None if reserved values are unknown)

• A tuple of utility values at the nash point

• The index of the given frontier corresponding to the nash point

Remarks:

• The function searches within the given frontier only.