Rationality Efficient Languages

Efficient Languages: Optimal Signaling

Best Choice of Words

Suppose the hearer interprets wordwjas pointij

suppose sensationsis given

which word is the best?

choose the wordwjsuch that the distance from interpretationijto

sensationsis minimal

w∗= arg min{‖s−ij‖:j= 1,...,n}

this leads to aVoronoi tesselation