Convex Potentials with an Application to Mechanism Design

By V. Krishna, Eliot Maenner. 2001

153 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mathematical Physics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/f444b61810344219daa1939f727fcbebe9ed6102

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Sergiu Hart
2. Sandro Brusco
3. Giuseppe Lopomo
4. Wojciech Olszewski
5. Kim-Sau Chung
6. Lawrence M. Ausubel

In Mathematical Physics

1. Sandro Brusco
2. Giuseppe Lopomo
3. Wojciech Olszewski
4. Kim-Sau Chung
5. Lawrence M. Ausubel

In Numerical Analysis

1. Sandro Brusco
2. Giuseppe Lopomo
3. Wojciech Olszewski
4. Kim-Sau Chung
5. Lawrence M. Ausubel

Citations in the corpus

• Multidimensional mechanism design: Revenue maximization and the multiple-good monopoly (2007, background): “Then, from Krishna and Maenner [9], Theorem 1, it follows that the integral (5) is valid for any measurable functions satisfying (i) above.”
• A non-differentiable approach to revenue equivalence (2007, background): “On the one hand, Krishna and Maenner (2001) as well as Milgrom and Segal (2002) provide some sufficient conditions, but their conditions are driven by a particular method of proving the revenue equivalence theorem, and we have rather little sense if they are close to necessary conditions.”
• Maximal revenue with multiple goods: Nonmonotonicity and other observations (2015, background): “See Myerson (1981), who deals also with multiple buyers.”
• Envelope Theorems for Arbitrary Choice Sets (2002, background): “12 Krishna and Maenner (2001) derive this result independently, but under unnecessary restrictions on the agent’s payoffs or the mechanism itself (their Hypotheses I and II).”
• An efficient dynamic auction for heterogeneous commodities (2006, background): “(3), above, and the surrounding text), Theorem 1 of Krishna and Maenner (2001) guarantees that the line integral is independent of path and equals ( ( )) ( (0)) j j j x dp V p T V p Γ ⋅ = − + ∫ .”
• Collusion via Signalling in Simultaneous Ascending Bid Auctions with Heterogeneous Objects, with and without Complementarities (2002, methodology): “A generalization of Myerson's result which includes our setting has been established, among others, by Krishna and Maenner [26].”