scientific article

zbMath0311.90001MaRDI QIDQ4070950

Kenneth J. Arrow, Frank Hahn

Publication date: 1971

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

Decision theory (91B06) Research exposition (monographs, survey articles) pertaining to game theory, economics, and finance (91-02) Trade models (91B60)

Related Items

On stability analysis with disequilibrium awareness, Some lifting theorems for continuous utility functions, Cournot-Walras and locally consistent equilibria, A price adjustment process with symmetry, Approximation of convex set-valued functions, Minkowski iteration of sets, Generic properties of simple Bergson-Samuelson welfare functions, Equilibrium theory in Veblen-Scitovsky economies, On the uniqueness theorems by Arrow and Hahn, The limit points of monopolistic competition, Economic monetary aggregates. An application of index number and aggregation theory, Efficient allocations under a general transaction technology, On disequilibrium adjustment processes, Optimal contracts and competitive markets with costly state verification, Optimality properties of rationing schemes, The second theorem of welfare economics when utilities are interdependent, The overlapping-generations model. I: The case of pure exchange without money, Existence of competitive equilibrium in a general overlapping-generations model, The permanent income hypothesis and short-run price stability, Further remarks on the global Newton method, Taxing price makers, Preference and utility. A constructive development, The Gale-Nikaido-Debreu lemma and the existence of transitive equilibrium with or without the free-disposal assumption, The steady states of a stochastic decentralized growth model, An equilibrium existence theorem, Non-substitution theorems and the systems of nonlinear equations, The core of a coalition production economy, Equilibrium in an exchange economy with non-convex preferences: a simple approach, A simple proof of the LeChatelier-Samuelson principle and the theory of cost and production, Some quasi-globally stable processes of price adjustment, Equilibria and efficiency in the fixprice setting, The law of supply and demand as a law of Markov chains, On optimal operation of a jointly owned enterprise, Regular production economies, Stable quantities in fixed price disequilibrium, The overlapping-generations model. II. The case of pure exchange with money, On social welfare functions and the aggregation of preferences, Comparative statics and dynamics of optimal choice models in Hilbert spaces, A numerical representation of preferences with intransitive indifference, Equilibria in markets with a Riesz space of commodities, Gross substitutability in large-square economies, Utility functions on preordered normed linear spaces, Core convergence without monotone preferences and free disposal, Vector mappings with diagonal images, Ergodic theorems for random compact sets and fuzzy variables in Banach spaces, The connectedness of the set of equilibrium money prices depends on the choice of the numeraire, Transformations of the commodity space, behavioral heterogeneity, and the aggregation problem, Two-part marginal cost pricing equilibria: Existence and efficiency, The market game: Existence and structure of equilibrium, On the instability of the Edgeworth process, Global stability of the competitive economy involving complementary relations among commodities, A unified approach to complementarity in optimization, Private ownership economies with a finite number of equilibria, Sandwich method for finding fixed points, Some results on uniqueness and on stability of equilibrium in general equilibrium theory, On persistent disequilibrium, A model of equilibrium with differentiated commodities, A proof of the existence of equilibrium without the free disposal assumption, A revised concept of distributional equity, General equilibrium and optimal taxes, How to share the cost of a public good, Structural stability for dynamical economic models, Large-scale systems: Stability, complexity, reliability, On the optimality of equilibrium when the market structure is incomplete, The rate of convergence of the core for a purely competitive sequence of economies, Sequences of temporary equilibria, stationary point expectations, and Pareto efficiency, Absolute approximations to equilibrium in markets with non-convex preferences, On the existence of Cournot equilibrium without concave profit functions, Oligopoly in markets with a continuum of traders: An asymptotic interpretation, Global analysis and economics. VI: Geometric analysis of Pareto optima and price equilibria under classical hypotheses, Properties of critical points and operators in economics, A voting model for the allocation of public goods: Existence of an equilibrium, Some theorems on the existence of competitive equilibrium, Stability of competitive industry equilibrium, Exchange processes with price adjustment, Optimism and experts against adverse selection in a competitive economy, Evolution of nonlinear dissipative systems with application to a macro- economic organism, Some new results on the local stability of the process of capital accumulation, Construction of a continuous utility function for a class of preferences, Disequilibrium dynamics in a simple macroeconomic model, On the equilibrium price set of an exchange economy, The factor-price frontier and duality with many primary factors, A closed economic system with production and exchange modelled as a game of strategy, The structure of admissible points with respect to cone dominance, Monotone trajectories of multivalued dynamical systems, Rothe's fixed point theorem and the existence of equilibria in monetary economies, A general equilibrium analysis of health-consumption externalities, Generalized Slutsky conditions for aggregate consumer demand functions, Expectations equilibrium and informational efficiency for stochastic environments, On Pareto-improving price changes, Linear economies are gross substitute systems, The role of money in supporting the Pareto optimality of competitive equilibrium in consumption-loan type models, Value theory with personalized trading, The role of insurance and gambling in allocating risk over time, On the existence of a unique and stable market equilibrium, On the indeterminacy of interest rates and wages with perfect foresight, Money-mediated disequilibrium processes in a pure exchange economy, A note on the core equivalence theorem, A model of general equilibrium with monopolistic behavior, Two mixed integer programming formulations arising in manufacturing management, Embedding theorems for classes of convex sets, Numerical representation of interval orders on a topological space, The turnpike of dynamic general equilibrium paths and its insensitivity to initial conditions, Stability analysis for profit-responsive selection mechanisms, Representing interval orders by a single real-valued function, Analysis of a dynamic, decentralized exchange economy, Concepts of similarity for utility functions, Parametric fixed point algorithms with applications to economic policy analysis, Computation of a large-scale competitive equilibrium through optimization, Matching, search, and bargaining, Selective bi-coordinate variations for resource allocation type problems, Competitive equilibria in general choice spaces, Market clearing and price formation, Inactive transfer policies and efficiency in general overlapping- generations economies, The Euclidean distance construction of order homomorphisms, Existence and multiplicity of temporary equilibria under nominal price rigidities, Supporting weakly Pareto optimal allocations in infinite dimensional nonconvex economies, On numerical representations of semiorders, Decision centralization and decentralization in a dynamic economic system, Approximate aggregation of excess demand functions, J. M. Keynes' position on the general applicability of mathematical, logical and statistical methods in economics and social science, Existence of competitive equilibria with externalities: a differential viewpoint, Approximating the integral of a multifunction, Entry and structures of interest groups in assignment games, General equilibrium theory and increasing returns, Intertemporal coordination in two-period markets, On the survival assumption in marginal (cost) pricing, A model of slow equilibrium dynamics for economic expansion, Topological properties of the attainable set in a nonconvex production economy, Valuation equilibrium and Pareto optimum in non-convex economies, A fixed point algorithm with economic applications, Einige Maßzahlen für nichtkonvexe Mengen, Applications of Thom's transversality theory and Brouwer degree theory to economics, The Shapley-Folkman theorem and the range of a bounded measure: an elementary and unified treatment, Existence of competitive equilibria via Smith's nonlinear complementarity result, From intertemporal strong quasiconcavity to temporary one, The Cournot oligopoly and competitive equilibria as solutions to nonlinear complementarity problems, An observation on Gross substitutability and the weak axiom of revealed preference, The cost function given imperfectly flexible capital, The exchange value embedded in a transport system, Efficient sets are small, An existence theorem for Cournot-Walras equilibria in a monopolistically competitive economy, The existence of equilibrium without fixed-point arguments, Walras' theory of capital formation: an intertemporal equilibrium reformulation, The excess utility functions and the welfare adjustment process, Some remarks on the Walras equilibrium problem in Lebesgue spaces, Moral efficiency. A new criterion for social choice, Utility representation theorems for Debreu separable preorders, Competitive equilibria and the core of overlapping generations economies, Stability of equilibrium with fixed prices, Consumer buying dynamics for a single commodity using flow and stock utilities and a principle of minimum total utility imbalance, La théorie mathématique de l'équilibre économique: Extension du modèle de Arrow-Debreu au cadre non convexe. (The mathematical theory of economic equilibrium: Extension of the Arrow-Debreu model to a nonconvex framework), Constructive and computable Hahn-Banach theorems for the (second) fundamental theorem of welfare economics, A fixed point theorem for discontinuous functions, Compatible beliefs and equilibrium, Subjective expectations equilibrium in economies with uncertain delivery, Endogenous market power, Sustainable markets with short sales, Gross substitution in financial markets, Pareto optima, welfare weights, and smooth equilibrium analysis, Replica core equivalence theorem: an extension of the Debreu-Scarf limit theorem to double infinity monetary economies, A tâtonnement process with fading memory, stabilization and optimal speed of convergence, On the regularity of smooth production economies with externalities: competitive equilibrium à la Nash, A robust rational route to randomness in a simple asset pricing model, An interactive multiobjective nonlinear programming procedure, Dressing the emperor in a new dynamic outfit, Rules of origin and gains from trade, Measuring the efficiency of decision making units, On the Arrow-Hahn utility representation method, Efficient market-clearing prices in markets with nonconvexities, Convergence of iterative tâtonnement without price normalization, On the stability of \(P\)-matrices, Walrasian analysis via two-player games, Dynamic graphs, Theory of integer-valued data envelopment analysis, A constructive proof of Ky Fan's coincidence theorem, Competitive equilibrium with local public goods, Implementation in economies with non-convex production technologies unknown to the designer, Asset market equilibrium in infinite dimensional complete markets, Stationary equilibrium transition rules for an overlapping generations model with uncertainty, Existence of slow solutions for a class of differential inclusions, An existence theorem for the core of a productive economy with increasing returns, The existence of budget-constrained Pareto-efficient allocations, Temporal risk and the nature of induced preferences, Neutrality of planning procedures, Gross substitutability of point-to-set correspondences, Money, barter, and convergence to the competitive allocation: Menger's problem, Optimal steady-state in stationary consumption-loan type models, A stock-flow approach to general equilibrium with trade frictions, On the informational efficiency of the competitive resource allocation process, Locally stable price mechanisms, Gross substitutability mappings in economic equilibrium theory, Hedonic prices and cost/benefit analysis, The logical reconstruction of pure exchange economics: Another alternative, On marginal cost pricing with given tax-subsidy rules, Experts against adverse selection: A note on the existence of equilibrium with costly appropriable information, Decentralized evolutionary mechanisms for intertemporal economies: A possibility result, A recursive counterexample to Debreu's theorem on the existence of a utility function, Representability of binary relations through fuzzy numbers, Agglomeration as spatial interdependence between firms and households, Pivotal methods for computing equilibrium points: Unified approach and new restart algorithm, Set-Valued Approximations with Minkowski Averages – Convergence and Convexification Rates, Existence of a temporary market equilibrium, STRATEGIC EQUILIBRIA WITH PARTIALLY CONSUMABLE WITHHOLDINGS, The Tendency toward a Moving Equilibrium, APPROXIMATION OF KNOWLEDGE AND FUZZY SETS, Intersecting families of sets and the topology of cones in economics, Robust vanishing of all Lyapunov exponents for iterated function systems, Decentralised exchange, out-of-equilibrium dynamics and convergence to efficiency, Micro adjustment toward long-term equilibrium, A Differential Game in Advertising, Existence of general equilibria in economies with natural exhaustible resources and an infinite horizon, Walrasian equilibria from an optimization perspective: A guide to the literature, Money-metrics in local welfare analysis: Pareto improvements and equity considerations, General equilibrium methodology applied to the design, implementation and performance evaluation of large, multi-market and multi-unit policy constrained auctions, The core of a transferable utility game as the solution to a public good market demand problem, Vanishing Price of Decentralization in Large Coordinative Nonconvex Optimization, A study of auction mechanisms for multilateral procurement based on subgradient and bundle methods, Monotone solutions of the parametric linear complementarity problem, On an ``important principle of Arrow and Debreu, Analysis of trade effect in post-TPP era: based on gravity model and GTAP model, Shapley-Folkman-Lyapunov theorem and asymmetric first price auctions, On Differentiated and Indivisible Commodities: An Expository Re-framing of Mas-Colell’s 1975 Model, Saddle-node equilibrium points on the stability boundary of nonlinear autonomous dynamical systems, QUASI-VARIATIONAL APPROACH OF A COMPETITIVE ECONOMIC EQUILIBRIUM PROBLEM WITH UTILITY FUNCTION: EXISTENCE OF EQUILIBRIUM, Firms and market equilibria in a private ownership economy, Unnamed Item, The Arrow-Hahn Construction in a Locally Compact Metric Space, Path-breaking contributions of K. J. Arrow, On total stability of competitive equilibrium, Disintegration of Young Measures and Nonlinear Analysis, Smooth dynamics and computation in models of economic growth, General equilibrium in an economy with exhaustible resources and an unbounded horizon, Out-of-equilibrium price dynamics, On variational inequalities for auction market problems, Dynamic Walrasian price equilibrium problem: evolutionary variational approach with sensitivity analysis, Binary Relations in Mathematical Economics: On Continuity, Additivity and Monotonicity Postulates in Eilenberg, Villegas and DeGroot, On the Stability of a Retarded Functional Differential Equation Edgeworth Process, STABILITY BOUNDARY CHARACTERIZATION OF NONLINEAR AUTONOMOUS DYNAMICAL SYSTEMS IN THE PRESENCE OF A SUPERCRITICAL HOPF EQUILIBRIUM POINT, Smooth dynamics and computation in models of economic growth, General equilibrium in an economy with exhaustible resources and an unbounded horizon, A limit theorem on the core, Combinatorial auctions, Stochastic processes of temporary equilibria, Stochastic processes of temporary equilibria, On the theory of macroeconomic quasi-equilibria, Discrete convexity and equilibria in economies with indivisible goods and money, Continuous representation by a money-metric function, THE COMPUTATION OF ECONOMIC EQUILIBRIA: A JOINT MAXIMIZATION APPROACH, A nonconvex separation property and some applications, On Bernstein approximants and the \(\varphi\)-variation of a fuzzy random variable, SOME REMARKS ON SETS UNBOUNDED NON-CONVEXITIES(1), Unnamed Item, Competitive processes—I. stability of hereditary systems, THE CONCEPT OF GENERAL EQUILIBRIUM IN A MARKET ECONOMY WITH IMPERFECTLY COMPETITIVE PRODUCERS*, A theory of value with nonlinear prices. Equilibrium analysis beyond vector lattices, Hierarchic competitive equilibria, An algorithm to decide if the intersection of convex polyhedral cones has a non empty interior, A non-closed total production set, Approximation of mappings with values which are upper semicontinuous functions, Multiple equilibrium under CES preferences, COMMENT ON ‘THE STABILITY OF GENERAL INTERTEMPORAL EQUILIBRIUM: A NOTE ON SCHEFOLD’ BY SERGIO PARRINELLO, Constructive utility functions on Banach spaces, Computing equilibria via nonconvex programming, An algorithm for a piecewise linear model of trade and production with negative prices and bankruptcy, IFORS' Operational Research Hall of Fame, A central limit theorem for random sets, CONIC FINANCE AND THE CORPORATE BALANCE SHEET, Competitive Processes and Comparison Differential Systems, NON STEADY GROWTH AT THE MAXIMAL RATE OF PROFIT(*), Topicality of Kantorovich's economic model, ARBITRAGE AND INFORMATION IN A SEQUENTIAL ECONOMY WITH MANY CREDIT AGENCIES, A mathematical framework for learning and adaption: (Generalized) random systems with complete connections, An application of the central limit theorem for banach-space-valued random variables to the theory of random sets, Irreducible economies and strongly connected graphs, An Economy Can Have a Lorenz-Type Chaotic Attractor, Approximately Convex Average Sums of Unbounded Sets, Tatonnement and non tatonnement processes of the price mechanism, Ergodic theorems for subadditive superstationary families of convex compact random sets, When sunspots don't matter, A reformulation of the theory of demand by compensated demand functions, Indeterminacy in incomplete market economies, Global univalence when mappings are not necessarily continuous, Existence of a continuous utility function with path monotonicity: The Wold approach, Core tâtonnement, A price adjustment process in a rationed economy, Fiscal rules and extrinsic uncertainty, Fuzzy set-valued Gaussian processes and Brownian motions, On Wold's approach to representation of preferences, Limited arbitrage is necessary and sufficient for the existence of a competitive equilibrium with or without short sales, Approximate tâtonnement processes, Computational systems for qualitative economics, Relations between convexity and homogeneity in multioutput technologies, Social loss with respect to the core of an economy with externalities, On the stability of best reply and gradient systems with applications to imperfectly competitive models, General equilibrium concepts under imperfect competition: A Cournotian approach, Existence and regularity of equilibria in a general equilibrium model with private provision of a public good, Financial equilibrium with non-linear valuations, Stability of tâtonnement processes of short period equilibria with rational expectations, Equilibrium and optimality: some imprints of David Gale, ReGale: some memorable results, General equilibrium and the theory of directed graphs, Private ownership economies with externalities and existence of competitive equilibria: a differentiable approach, A second welfare theorem for constrained efficient allocations in incomplete markets, On the role of computation in economic theory, The constructive theory of preference relations on a locally compact space. II, Competitive equilibrium in an exchange economy with indivisibilities, Economies with many commodities, The structure of Nash equilibria in Poisson games, The continuity postulate in economic theory: a deconstruction and an integration, A strong correspondence principle for smooth, monotone environments, Existence of general competitive equilibria: a variational approach, Axiomatic characterizations of the Walras correspondence for generalized economies, On the set of Pareto efficient allocations in economies with public goods, Budget constraint of a firm and economic theory, On monopolistic equilibria with incomplete markets: The case of an exchange economy, A topological invariant for competetive markets, Market games and Walrasian equilibria, Pareto-improving economic reforms through dual-track liberalization, Infinite-dimensional utility representation theorems, Monetary general equilibrium with transaction costs., An analysis of the Keen model for credit expansion, asset price bubbles and financial fragility, Strategic market games: an introduction., Solution algorithms for regional interactions in large-scale integrated assessment models of climate change, Central limit theorems for generalized set-valued random variables, Price dynamics in an exchange economy, Derivational robustness, credible substitute systems and mathematical economic models: the case of stability analysis in Walrasian general equilibrium theory, Discrete Walrasian exchange process, Emergence of price-taking behavior, A correspondence principle for cooperative differential equations, Geometry of the expected value set and the set-valued sample mean process, General equilibrium models and homotopy methods, Computable preference and utility, Local coordination and market equilibria., Equilibrium behavior in markets and games: Testable restrictions and identification., A weak correspondence principle for models with complementarities., The production recipes approach to modeling technological innovation: An application to learning by doing, A discrete and symmetric price adjustment process on the simplex, General equilibrium in economies with uncertain delivery, Congestion control for a system with parallel stations and homogeneous customers using priority passes, A foundation of location theory: existence of equilibrium, the welfare theorems, and core, Factor-supply responses and the gross-substitute system, On a lifting theorem of Nachbin, A new approach to the existence of equilibria in vector lattices, A generalized economic equilibrium, Variational inequality type formulations of general market equilibrium problems with local information, Competitive general equilibrium with network externalities, A limit result on bargaining sets, Stable disequilibrium prices, On the existence of equilibria without convexity or free disposal on production technologies, Accessibility of Pareto optima by Walrasian exchange processes, Operating efficiency and output insensitive employment contracts for capital management, The discrete separation theorem and price adjustment directions in markets with heterogeneous commodities, Boundary behavior of excess demand and existence of equilibrium, On the independence of core-equivalence results from Zermelo-Fraenkel set theory, Economies with price-dependent preferences., An introduction to perfect and imperfect competition via bilateral oligopoly, Some implications of an intensity measure of envy, On dynamic adjustment and comparative statics via the implicit function theorem, On the structure of the equilibrium price set of overlapping-generations economies, Stability of polytopic systems via convex \(M\)-matrices and parameter-dependent Lyapunov functions, Offer curves and uniqueness of competitive equilibrium, Weakly democratic regular tax equilibria in a local public goods economy with perfect consumer mobility, Variational inequalities and general equilibrium models, Equilibrium allocations of Walrasian preference games, Walrasian equilibrium without homogeneity and Walras' law, Characterizations of the public and private ownership solutions, Behavioral heterogeneity and structural properties of aggregate demand, Definable utility in o-minimal structures., Global convergence of the stochastic tâtonnement process, The intermediate value theorem and decision-making in psychology and economics: an expositional consolidation, An abstract extremal principle with applications to welfare economics, Two remarks on the uniqueness of equilibria in the CAPM, Quasi-equilibrium in economies with infinite dimensional commodity spaces: A truncation approach, Disequilibrium trade in a large market for an indivisible good, Democracy undone. Systematic minority advantage in competitive vote markets, On the continuous analogue of the Szpilrajn theorem. I, Shilnikov chaos, low interest rates, and New Keynesian macroeconomics, The expectational stability of Walrasian equilibria