A Market Test for the Positivity of Arrow-Debreu Prices

نویسنده

  • Alexandre d'Aspremont
چکیده

We derive tractable necessary and sufficient conditions for the absence of buy-and-hold arbitrage opportunities in a perfectly liquid, one period market. We formulate the positivity of Arrow-Debreu prices as a generalized moment problem to show that this no arbitrage condition is equivalent to the positive semidefiniteness of matrices formed by the market price of tradeable securities and their products. We apply this result to a market with multiple assets and basket call options.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

An Auction-Based Market Equilibrium Algorithm for a Production Model

We present an auction-based algorithm for computing market equilibrium prices in a production model, in which producers have a single linear production constraint, and consumers have linear utility functions. We provide algorithms for both the Fisher and Arrow-Debreu versions of the problem.

متن کامل

History as a Widespread Externality in Some Arrow-Debreu Market Games

Two Arrow–Debreu market games are formulated whose straightforward Nash equilibria are Walrasian. Both have an auctioneer setting prices to maximize net sales value. In the second an additional redistributive agency maximizes welfare through optimal lump-sum transfers. In intertemporal economies, however, subgame imperfections can arise because agents understand how current decisions such as th...

متن کامل

Continuity Properties of Equilibria in Some Fisher and Arrow-Debreu Market Models

Following up on the work of Megiddo and Vazirani [10], who determined continuity properties of equilibrium prices and allocations for perhaps the simplest market model, Fisher’s linear case, we do the same for: – Fisher’s model with piecewise-linear, concave utilities – Fisher’s model with spending constraint utilities – Arrow-Debreu’s model with linear utilities – Eisenberg-Gale markets.

متن کامل

A Simple Approximation Algorithm for Computing Arrow-Debreu Prices

We consider the Arrow-Debreu market with linear utilities in which there is a set G of divisible goods and a set B of buyers. Each buyer starts with an initial endowment of goods. The buyer’s utility function is a linearly separable function of the goods that the buyer purchases. We develop a simple and efficient algorithm for determining an approximate market equilibrium. Our algorithm finds a...

متن کامل

Noisy Arrow - Debreu Equilibria ∗

I develop a noisy rational expectations equilibrium model with a continuum of states and a full set of options that render the market complete. I show a major difference in equilibrium behavior between models with constant absolute risk aversion (CARA) and non-CARA preferences. First, when informed traders have non-CARA preferences, all equilibria are fully revealing, independent of the amount ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • CoRR

دوره abs/cs/0510027  شماره 

صفحات  -

تاریخ انتشار 2005