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Via Order Markets Towards Price-Taking Equilibrium
Can order markets lead participants towards price-taking equilibrium ? Viewing market sessions as steps of iterative algorithms, this paper indicates...
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Competitive Equilibrium Always Exists for Combinatorial Auctions with Graphical Pricing Schemes
We show that a competitive equilibrium always exists in combinatorial auctions with anonymous graphical valuations and pricing, using discrete...
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On inexact versions of a quasi-equilibrium problem: a Cournot duopoly perspective
This paper has two parts. In the mathematical part, we present two inexact versions of the proximal point method for solving quasi-equilibrium...
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The Walrasian Equilibrium and Centralized Distributed Optimization in Terms of Modern Convex Optimization Methods by an Example of the Resource Allocation Problem
The resource allocation problem and its numerical solution are considered. The following is demonstrated: (1) Walrasian price-adjustment mechanism...
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Strong substitutes: structural properties, and a new algorithm for competitive equilibrium prices
We show the strong substitutes product-mix auction bidding language provides an intuitive and geometric interpretation of strong substitutes as...
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Practical partial equilibrium framework for pricing of mortality-linked instruments in continuous time
This work considers a partial equilibrium approach for pricing longevity bonds in a stochastic mortality intensity setting. Thus, the pricing...
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Variational Inequality Type Formulations of General Market Equilibrium Problems with Local Information
We suggest a new approach to creation of general market equilibrium models involving economic agents with local and partial knowledge about the...
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Computing Walrasian equilibria: fast algorithms and structural properties
We present the first polynomial time algorithm for computing Walrasian equilibrium in an economy with indivisible goods and general buyer valuations...
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Decomposition Algorithms for Some Deterministic and Two-Stage Stochastic Single-Leader Multi-Follower Games
We consider a certain class of hierarchical decision problems that can be viewed as single-leader multi-follower games, and be represented by a...
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Prelude
This introductory chapter aims at an exposition of the contents and the evolution of the Marginal RevolutionMarginal revolution, which became a...
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Young Duality of Variational Inequalities. An Application for the Analysis of Interactions in Production Networks
We develop a mathematical technique of Young dual variational inequalities, which are used to model market equilibrium in a network of production...
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Linear Exchange Economies
We consider a pure exchange economy with finitely many commodities and consumers. Each consumer has a linear utility functionFunctionlinear...
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Nash equilibrium strategies and survival portfolio rules in evolutionary models of asset markets
We consider a stochastic model of a financial market with one-period assets and endogenous asset prices. The model was initially developed and...
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An Evolutionary Approach to Pollution Control in Competitive Markets
We consider a large population of firms in a market environment. The firms are divided into a finite set of types, with each type being characterized...
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Toward the Marginal Revolution: The Foundational Status of Antoine-Augustin Cournot
Cournot’s[aut]Cournot, A.A." Researches into the Mathematical Principles of the Theory of Wealth (1838) was a major breakthrough towards modern...
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Mathematics and Economics, with Special Attention to Social Choice Theory
The historical context of the usage of mathematics in economics and some other related social sciences is briefly described. This usage is then...
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Mathematics and Economics, with Special Attention to Social Choice Theory
The historical context of the usage of mathematics in economics and some other related social sciences is briefly described. This usage is then...
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Extension of forward-reflected-backward method to non-convex mixed variational inequalities
This paper presents a modification of a recently studied forward-reflected-backward splitting method to solve non-convex mixed variational...
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Finitely additive exchange economies with properness allocation
This is a short and compact survey of finitely additive models in Equilibrium theory; starting from the classical finite-dimensional countably...
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On the Existence of a Fuzzy Core in an Exchange Economy
The fuzzy core is widely used in theoretical economics for modeling perfect competition. However, in modern literature, the proof of its existence is...