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

Ewald, Christian-Oliver and Xiao, Yajun (2007): INFORMATION : PRICE AND IMPACT ON GENERAL WELFARE AND OPTIMAL INVESTMENT. AN ANTICIPATIVE STOCHASTIC DIFFERENTIAL GAME MODEL.

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.

• Item Type: MPRA Paper
• Institution: University of St.Andrews, School of Economics and Finance
• Language: English
• Keywords: information; financial markets; stochastic differential games
• Subjects: G - Financial Economics > G1 - General Financial Markets > G14 - Information and Market Efficiency ; Event Studies ; Insider Trading; G - Financial Economics > G1 - General Financial Markets > G11 - Portfolio Choice ; Investment Decisions; C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C73 - Stochastic and Dynamic Games ; Evolutionary Games ; Repeated Games

References

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