Information: Price and Impact on General Welfare and Optimal Investment: An Anticipative Stochastic Differential Game Model

38 Pages Posted: 8 May 2007 Last revised: 26 Apr 2011

See all articles by Christian-Oliver Ewald

Christian-Oliver Ewald

University of Glasgow; Center for Dynamic Macroeconomic Analysis, University of St. Andrews - School of Economics and Finance

Yajun Xiao

University of Freiburg - Department of Economics

Date Written: March 28, 2010

Abstract

We consider a continuous time market model, in which agents influence asset prices. The agents are assumed to be rational and maximizing expected utility from terminal wealth. They share the same utility function but are allowed to possess different levels of information. Technically our model represents a stochastic differential game with anticipative strategy sets. We derive necessary and sufficient criteria for the existence of Nash-equilibria and characterize them for various levels of information asymmetry. Furthermore we study in how far the asymmetry in the level of information influences Nash-equilibria and general welfare. We show that under certain conditions in a competitive environment an increased level of information may in fact lower the level of general welfare. This effect can not be observed in representative agent based models, where information always increases welfare. Finally we extend our model in a way, that we add prior stages, in which agents are allowed to buy and sell information from each other, before engaging in trading with the market assets. We determine equilibrium prices for particular pieces of information in this setup.

Keywords: information, financial markets, stochastic differential games

JEL Classification: C730, G110, G140

Suggested Citation

Ewald, Christian-Oliver and Xiao, Yajun, Information: Price and Impact on General Welfare and Optimal Investment: An Anticipative Stochastic Differential Game Model (March 28, 2010). Available at SSRN: https://ssrn.com/abstract=985047 or http://dx.doi.org/10.2139/ssrn.985047

Christian-Oliver Ewald (Contact Author)

University of Glasgow ( email )

Adam Smith Building
Glasgow, Scotland G12 8RT
United Kingdom

Center for Dynamic Macroeconomic Analysis, University of St. Andrews - School of Economics and Finance ( email )

Castlecliffe
The Scores
St. Andrews, Fife KY16 9AL
United Kingdom
+44(0)1334 462435 (Phone)

HOME PAGE: http://www.maths.usyd.edu.au/u/ewald/

Yajun Xiao

University of Freiburg - Department of Economics ( email )

Freiburg, D-79085
Germany

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