On a model of n-person dynamic strategic market game References

On a model of n-person dynamic strategic
market game
Piotr Więcek
Institute of Mathematics and Computer Science
Wrocław University of Technology
Wybrzeże Wyspiańskiego 27
50-370 Wrocław
Poland
e-mail: [email protected]
url: http://www.im.pwr.wroc.pl/∼wiecek/
Abstract
So far in the literature dynamic models of strategic market games were
analyzed only for the cases of two [3, 4] or continuum of players [1, 2]. In
the present paper we present a discrete stochastic model of an n-person
dynamic strategic market game, similar to that of [4], and provide some
pure-strategy stationary equilibrium results for it.
References
[1] I. Karatzas, M. Shubik and W.D. Sudderth. Construction of Stationary
Markov Equilibria in a Strategic Market Game. Math. Oper. Res., 19(4):975–
1006, 1992.
[2] I. Karatzas, M. Shubik and W.D. Sudderth. A Strategic Market with Secured
Lending. J. Math. Econ., 28:207–247, 1997.
[3] P. Secchi and W.D. Sudderth. A Simple Two-Person Stochastic Game with
Money. In: A.S. Nowak and K. Szajowski (eds.) Advances in Dynamic
Games. Applications to Economics, Finance, Optimization, and Stochastic Control. Annals of the International Society of Dynamic Games vol.7.
Birkhäuser, Boston, pp. 39–66, 2005.
[4] P. Więcek. Pure equilibria in a simple dynamic model of strategic market
game. Math. Meth. Oper. Res., to appear.