EXISTENCE OF AN EQUILIBRIUM FOR A COMPETITIVE ECONOMY

By Kenneth J. Arrow, G. Debreu. 1954

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Citations in the corpus

Rural Financial Markets in Developing Countries (2005, unknown): “The framework above can be readily extended to multiple time periods in the fashion of Arrow and Debreu (1954) to allow state and time contingent income and consumption levels.”
Transparency: Motivations and Challenges (2019, background): “Under restrictive assumptions, [5] famously proved the existence of a general equilibrium for a competitive economy.”
Nash and Walras equilibrium via Brouwer (2003, methodology): “In the standard Kakutani existence proof pioneered by Debreu (see Arrow and Debreu [2]), the price player chooses p to maximize the value of a given excess demand z.”
What have economists learned about valuing nature? A review essay (2013, background): “These include the very stringent conditions required to establish a unique equilibrium (Arrow and Debreu, 1954), various inconsistencies arising from individual choice (the Allais, Boadway, Ellsberg, and Scitovsky paradoxes), the theory of the second best (Lipsey and Lancaster, 1956–1957), and the…”
Demystifying modelling methods for trade policy (2005, methodology): “The second major advance was the axiomatic approach adopted in the Arrow-Debreu model of general equilibrium (Arrow and Debreu, 1954; Debreu, 1959).”
A Simple Robust Link between American Puts and Credit Protection (2011, background): “This fundamental claim is simply a fixed-life Arrow and Debreu (1954) security paying off one dollar at the default time if and only if default occurs before expiry.”
Do cross-border mergers and acquisitions increase short-term market performance? The case of Chinese firms (2017, background): “…premise that an internal party, such as an acquirer, possesses special information while external parties, such as investors, may not be able to access such information and may need to rely on other information (Arrow, 1968; 1973; 1959; Arrow & Debreu, 1954; Grossman & Hart, 1981; Nelson, 1970).”
From Socialism to Capitalism and Democracy (2003, background): “I felt that I had to go back to the foundations of general equilibrium theory and study Arrow and Debreu [1954]. The result of that investigation was my book, Anti-Equilibrium, which is a critique of Walrasian general equilibrium theory and an attempt to work out an alternative analytical framework ”
Transparency: Motivations and Challenges (2017, background): “idual acts as an autonomous agent. If each agent optimizes her own selﬁsh utility, there is no guarantee in general that this will lead to the best outcome for society. Under restrictive assumptions, Arrow and Debreu (1954) famously proved the existence of a general equilibrium for a competitive eco”
Economic Opportunity and Evolution: Beyond Landscapes and Bounded Rationality (2013, background): “The notion of bounded rationality indeed provides a much-needed contrast with and advance over models that assume perfect rationality and explicitly focus on the efficiency of markets (Arrow and Debreu, 1954).”
Combinatorial auctions (2007, unknown): “A classical result of the general equilibrium theory (Arrow and Debreu 1954) establishes that Walrasian equilibrium prices exist under conditions of continuity, monotony, and concavity of preference functions vj (.”