<p>We derive conditions for individual choices and <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\( \epsilon \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ϵ</mi> </math></EquationSource> </InlineEquation>-equilibrium prices to be inferred from a finite set of market data in the following sense: Although potential observations are infinite, inference can be attained and known to have been attained after a finite number of observations. While we first examine the case of observations on an individual’s demand at different prices and incomes, our primary focus is on equilibrium, where only profiles of individual endowments and associated equilibrium prices are observable. Our main result is that finite inference is possible in the equilibrium setting if one wants to infer either individual choices or the <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\( \epsilon \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ϵ</mi> </math></EquationSource> </InlineEquation>-equilibrium correspondence.</p>

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Exact inference from finite market data

  • F. Kübler,
  • R. Malhotra,
  • H. Polemarchakis

摘要

We derive conditions for individual choices and \( \epsilon \) ϵ -equilibrium prices to be inferred from a finite set of market data in the following sense: Although potential observations are infinite, inference can be attained and known to have been attained after a finite number of observations. While we first examine the case of observations on an individual’s demand at different prices and incomes, our primary focus is on equilibrium, where only profiles of individual endowments and associated equilibrium prices are observable. Our main result is that finite inference is possible in the equilibrium setting if one wants to infer either individual choices or the \( \epsilon \) ϵ -equilibrium correspondence.