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On Proposition 2.5 in “An Introduction to the Theory of Mechanism Design”

山口経済学雑誌 Volume 63 Issue 5 Page 433-463
published_at 2015-03-31
C050063000513.pdf
[fulltext] 422 KB
Title
“An Introduction to the Theory of Mechanism Design”の命題2.5について
On Proposition 2.5 in “An Introduction to the Theory of Mechanism Design”
Creators Kashiwagi Yoshimi
Source Identifiers
An elegant proof using normed spaces was given to Proposition 2.5 in “An Introduction to the Theory of Mechanism Design”concering the existence of the direct mechanism which maximizes the seller's expected revenue among all incentive-compatible and individually rational direct mechanisms. Since this proposition is the first main result and normed spaces are not so easy mathematical tool compared with those used later, we felt the need for an easier proof. The outline of the proof of our result in this note is almost same as that of Proposition 3.4 in the book. We also give a condition under which we have the uniqueness of the real number that characterizes the objective direct mechanism.
Languages jpn
Resource Type departmental bulletin paper
Publishers 山口大學經濟學會
Date Issued 2015-03-31
File Version Version of Record
Access Rights open access
Relations
[ISSN]0513-1758
[NCID]AN00243258
Schools 経済学部