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2010
Tsinghua U.
15 years 7 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»
15 years 3 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
14 years 10 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
15 years 5 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»
14 years 8 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