Rationality Efficient Languages

Efficient Languages

Cooperative approach

players use a meta–language to find the best language

minimizeE l

(

‖s−iw(s)‖

)

=

∫

Sl

(

‖s−iw(s)‖

)

F(ds) over measurable

functionsw:S→W andi:W→S

Theorem

Efficient languages exist.

Remark

Proof requires analysis of optimal signaling systemswgiven some

interpretationi; then essentially compactness and continuity...