INFORMATION: PRICE AND IMPACT ON GENERAL WELFARE AND OPTIMAL INVESTMENT. AN ANTICIPATIVE STOCHASTIC DIFFERENTIAL GAME MODEL

Christian-Oliver Ewald and Yajun Xiao

MPRA Paper from University Library of Munich, Germany

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 (search for similar items in EconPapers)
JEL-codes: C73 G11 G14 (search for similar items in EconPapers)
Date: 2007
New Economics Papers: this item is included in nep-dge, nep-gth, nep-mic, nep-mst and nep-upt
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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