Mathematics and Economics

(Michael S) #1
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...
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