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No-arbitrage, state prices and trade in thin financial markets

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Abstract

We examine how non-competitiveness in financial markets affects the choice of asset portfolios and the determination of equilibrium prices. In our model, potential arbitrage is conducted by a few highly specialized institutional investors who recognize and estimate the impact of their trades on financial prices. We apply a model of economic equilibrium, based on Weretka (http://www.ssc.wisc.edu/~mweretka/Research, 2007a), in which price effects are determined endogenously as part of the equilibrium concept. For the case in which markets allow for perfect insurance, we argue that the principle of no-arbitrage asset pricing is consistent with non-competitive behavior of the arbitragers and extend the fundamental theorem of asset pricing to the non-competitive setting.

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Correspondence to Andrés Carvajal.

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A. Carvajal gratefully acknowledges the financial support of the ESRC, through grant RES-000-22-3771, and of a Warwick-RSS grant, as well as the hospitality of the Department of Economics at the University of Wisconsin at Madison.

We are very grateful to an anonymous referee for suggestions that improved the paper. The paper also benefited from its discussion in a variety of conferences and seminars, and we are very grateful to the audiences of all those presentations. We are especially indebted to Pablo Beker, Elchanan Ben-Porath, Julio Dávila, John Geanakoplos, Michael Magill, Alberto Martín, Herakles Polemarchakis, John Quah, Martine Quinzii, Marzena Rostek, Paolo Siconolfi, Peter Sorensen, Dimitri Tsomocos, Dimitri Vayanos, Nicholas Yannelis and Jean Pierre Zigrand, for comments made at various stages of development of the paper, and which helped us improve it.

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Carvajal, A., Weretka, M. No-arbitrage, state prices and trade in thin financial markets. Econ Theory 50, 223–268 (2012). https://doi.org/10.1007/s00199-010-0567-5

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