Computable Economic Analysis.
Marcel K. Richter, Kam‐Chau Wong
Abstract
Marcel K. Richter, Kam‐Chau Wong
Abstract
: This paper discusses an economic equilibrium theory with computability constraints on both the magnitudes (prices, quantities, etc.) and the operations (to perceive, evaluate, choose, communicate, etc) that agents can use. Prices and quantities are computable numbers (Turing (1936)), and preference relations, utility functions, demand functions are computable (in the sense of Moschovakis (1964)). We present sharper versions of several traditional assertions on utility representation, existence of consumer demand functions, the fundamental welfare theorems, characterizations of market excess demands. We also give a "computable counterexample " to the existence of a competitive equilibrium. These results can be interpreted as possibility and impossibility results in computability-bounded rationality, and in computational economics. Keywords: Bounded rationality, Computability, Consumer theory, General equilibrium analysis, Recursive analysis 1. INTRODUCTION In classical economic mod...
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: This paper discusses an economic equilibrium theory with computability constraints on both the magnitudes (prices, quantities, etc.) and the operations (to perceive, evaluate, choose, communicate, etc) that agents can use. Prices and quantities are computable numbers (Turing (1936)), and preference relations, utility functions, demand functions are computable (in the sense of Moschovakis (1964)). We present sharper versions of several traditional assertions on utility representation, existence of consumer demand functions, the fundamental welfare theorems, characterizations of market excess demands. We also give a "computable counterexample " to the existence of a competitive equilibrium. These results can be interpreted as possibility and impossibility results in computability-bounded rationality, and in computational economics. Keywords: Bounded rationality, Computability, Consumer theory, General equilibrium analysis, Recursive analysis 1. INTRODUCTION In classical economic mod...
Key concepts: Economic analysis, Economics, Computer science, Classical economics