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2010
Tsinghua U.
14 years 1 months ago
Market Equilibrium under Separable, Piecewise-Linear, Concave Utilities
We consider Fisher and Arrow-Debreu markets under additively-separable, piecewise-linear, concave utility functions, and obtain the following results: ? For both market models, if...
Vijay V. Vazirani, Mihalis Yannakakis
WINE
2005
Springer
206views Economy» more  WINE 2005»
13 years 10 months ago
Exchange Market Equilibria with Leontief's Utility: Freedom of Pricing Leads to Rationality
This paper studies the equilibrium property and algorithmic complexity of the exchange market equilibrium problem with concave piece-wise linear functions, which include linear an...
Yinyu Ye
FOCS
2008
IEEE
13 years 4 months ago
Market Equilibria in Polynomial Time for Fixed Number of Goods or Agents
We consider markets in the classical Arrow-Debreu model. There are n agents and m goods. Each buyer has a concave utility function (of the bundle of goods he/she buys) and an init...
Nikhil R. Devanur, Ravi Kannan
FOCS
2009
IEEE
13 years 11 months ago
Settling the Complexity of Arrow-Debreu Equilibria in Markets with Additively Separable Utilities
We prove that the problem of computing an Arrow-Debreu market equilibrium is PPAD-complete even when all traders use additively separable, piecewise-linear and concave utility fun...
Xi Chen, Decheng Dai, Ye Du, Shang-Hua Teng
SAGT
2010
Springer
167views Game Theory» more  SAGT 2010»
13 years 3 months ago
A Perfect Price Discrimination Market Model with Production, and a (Rational) Convex Program for It
Recent results showing PPAD-completeness of the problem of computing an equilibrium for Fisher’s market model under additively separable, piecewise-linear, concave utilities (pl...
Gagan Goel, Vijay V. Vazirani