When is multidimensional screening a convex program?
From MaRDI portal
Publication:533086
DOI10.1016/j.jet.2010.11.006zbMath1282.90085arXiv0912.3033OpenAlexW2000844733WikidataQ112632359 ScholiaQ112632359MaRDI QIDQ533086
Young-Heon Kim, Robert J. McCann, Alessio Figalli
Publication date: 2 May 2011
Published in: Journal of Economic Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.3033
bunchingrobustnessasymmetric informationoptimal transportationoptimal taxationnonlinear pricingmechanism designscreeningmonopolyprincipal-agentprice discriminationincentive compatibilityexclusioncross-curvatureMa-Trudinger-Wangmultidimensional signallingprivate imperfect incomplete informationsocial welfare maximization under budget constraint
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Cites Work
- Unnamed Item
- On the regularity of solutions of optimal transportation problems
- Regularity of optimal maps on the sphere: the quadratic cost and the reflector antenna
- Free boundaries in optimal transport and Monge-Ampère obstacle problems
- Continuity, curvature, and the general covariance of optimal transportation
- The taxation principle and multi-time Hamilton-Jacobi equations
- Multidimensional signalling
- A necessary and sufficient condition for rationalizability in a quasilinear context
- Multidimensional incentive compatibility and mechanism design
- Taxing price makers
- Monopoly and product quality
- Optimal selling mechanisms for multiproduct monopolists: Incentive compatibility in the presence of budget constraints
- The geometry of optimal transportation
- Multidimensional screening.
- An algorithm for computing solutions of variational problems with global convexity constraints
- Regularity of potential functions of the optimal transportation problem
- Regularity of solutions for some variational problems subject to a convexity constraint
- A Jacobian Inequality for Gradient Maps on the Sphere and Its Application to Directional Statistics
- Towards the smoothness of optimal maps on Riemannian submersions and Riemannian products (of round spheres in particular)
- Optimal spatial pricing strategies with transportation costs
- Optimal transportation, topology and uniqueness
- Multi-Product Quantity-Dependent Prices and Profitability Constraints
- Regulating a Monopolist with Unknown Costs
- Ironing, Sweeping, and Multidimensional Screening
- Multiproduct Nonlinear Pricing
- An Exploration in the Theory of Optimum Income Taxation
- State Constraints in Convex Control Problems of Bolza
- Optimal Transport
- A general existence result for the principal-agent problem with adverse selection
