Newton's method for the nonlinear complementarity problem: a B-differentiable equation problem
Mathematical Programming: Series A and B
On the complexity of the parity argument and other inefficient proofs of existence
Journal of Computer and System Sciences - Special issue: 31st IEEE conference on foundations of computer science, Oct. 22–24, 1990
Algorithms, games, and the internet
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
On the complexity of equilibria
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
The WALRAS Algorithm: A Convergent Distributed Implementation of General Equilibrium Outcomes
Computational Economics
Market Equilibrium via a Primal-Dual-Type Algorithm
FOCS '02 Proceedings of the 43rd Symposium on Foundations of Computer Science
Auction algorithms for market equilibrium
STOC '04 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
The spending constraint model for market equilibrium: algorithmic, existence and uniqueness results
STOC '04 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
A Polynomial Time Algorithm for Computing the Arrow-Debreu Market Equilibrium for Linear Utilities
FOCS '04 Proceedings of the 45th Annual IEEE Symposium on Foundations of Computer Science
Market equilibria for homothetic, quasi-concave utilities and economies of scale in production
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
On the polynomial time computation of equilibria for certain exchange economies
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
Market equilibrium via the excess demand function
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
Auction Algorithms for Market Equilibrium
Mathematics of Operations Research
An experimental study of different approaches to solve the market equilibrium problem
Journal of Experimental Algorithmics (JEA)
Market equilibrium via a primal--dual algorithm for a convex program
Journal of the ACM (JACM)
Extending polynomial time computability to markets with demand correspondences
WINE'07 Proceedings of the 3rd international conference on Internet and network economics
Computing market equilibrium: beyond weak gross substitutes
WINE'07 Proceedings of the 3rd international conference on Internet and network economics
Accommodating driver preferences in reservation-based urban traffic management
Proceedings of the 9th International Conference on Autonomous Agents and Multiagent Systems: volume 1 - Volume 1
Making economic theory operational
WINE'06 Proceedings of the Second international conference on Internet and Network Economics
Computing equilibrium prices: does theory meet practice?
ESA'05 Proceedings of the 13th annual European conference on Algorithms
A fixed point approach for the computation of market equilibria
WINE'05 Proceedings of the First international conference on Internet and Network Economics
A practical algorithm for the computation of market equilibrium with logarithmic utility functions
ISAAC'05 Proceedings of the 16th international conference on Algorithms and Computation
Market equilibrium for CES exchange economies: existence, multiplicity, and computation
FSTTCS '05 Proceedings of the 25th international conference on Foundations of Software Technology and Theoretical Computer Science
Computing equilibrium prices in exchange economies with tax distortions
ICALP'06 Proceedings of the 33rd international conference on Automata, Languages and Programming - Volume Part I
A market-inspired approach for intersection management in urban road traffic networks
Journal of Artificial Intelligence Research
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The market equilibrium problem has a long and distinguished history. In 1874, Walras published the famous "Elements of Pure Economics", where he describes a model for the state of an economic system in terms of demand and supply, and expresses the supply equals demand equilibrium conditions [62]. In 1936, Wald gave the first proof of the existence of an equilibrium for the Walrasian system, albeit under severe restrictions [61]. In 1954, Nobel laureates Arrow and Debreu proved the existence of an equilibrium under milder assumptions [3]. This existence result, along with the two fundamental theorems of welfare are the pillars of modern equilibrium theory. The First Fundamental Theorem of Welfare showed the Pareto optimality of allocations at equilibrium prices, thereby formally expressing Adam Smith's "invisible hand" property of markets and providing important social justification for the theory of equilibrium.