Stochastic nonzero-sum games: a new connection between singular control and optimal stopping
de Angelis T, Ferrari G (2016) Center for Mathematical Economics Working Papers; 565.
Bielefeld: Center for Mathematical Economics.
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| Veröffentlicht | Englisch
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Autor*in
de Angelis, Tiziano;
Ferrari, GiorgioUniBi
Abstract / Bemerkung
In this paper we establish a new connection between a class of 2-player nonzerosum
games of optimal stopping and certain 2-player nonzero-sum games of singular control. We
show that whenever a Nash equilibrium in the game of stopping is attained by hitting times at
two separate boundaries, then such boundaries also trigger a Nash equilibrium in the game of
singular control. Moreover a differential link between the players' value functions holds across
the two games.
Stichworte
games of singular control;
games of optimal stopping;
Nash equilibrium;
onedimensional diffusion;
Hamilton-Jacobi-Bellman equation;
verification theorem
Erscheinungsjahr
2016
Serientitel
Center for Mathematical Economics Working Papers
Band
565
Seite(n)
23
ISSN
0931-6558
Page URI
https://pub.uni-bielefeld.de/record/2904753
Zitieren
de Angelis T, Ferrari G. Stochastic nonzero-sum games: a new connection between singular control and optimal stopping . Center for Mathematical Economics Working Papers. Vol 565. Bielefeld: Center for Mathematical Economics; 2016.
de Angelis, T., & Ferrari, G. (2016). Stochastic nonzero-sum games: a new connection between singular control and optimal stopping (Center for Mathematical Economics Working Papers, 565). Bielefeld: Center for Mathematical Economics.
de Angelis, Tiziano, and Ferrari, Giorgio. 2016. Stochastic nonzero-sum games: a new connection between singular control and optimal stopping . Vol. 565. Center for Mathematical Economics Working Papers. Bielefeld: Center for Mathematical Economics.
de Angelis, T., and Ferrari, G. (2016). Stochastic nonzero-sum games: a new connection between singular control and optimal stopping . Center for Mathematical Economics Working Papers, 565, Bielefeld: Center for Mathematical Economics.
de Angelis, T., & Ferrari, G., 2016. Stochastic nonzero-sum games: a new connection between singular control and optimal stopping , Center for Mathematical Economics Working Papers, no.565, Bielefeld: Center for Mathematical Economics.
T. de Angelis and G. Ferrari, Stochastic nonzero-sum games: a new connection between singular control and optimal stopping , Center for Mathematical Economics Working Papers, vol. 565, Bielefeld: Center for Mathematical Economics, 2016.
de Angelis, T., Ferrari, G.: Stochastic nonzero-sum games: a new connection between singular control and optimal stopping . Center for Mathematical Economics Working Papers, 565. Center for Mathematical Economics, Bielefeld (2016).
de Angelis, Tiziano, and Ferrari, Giorgio. Stochastic nonzero-sum games: a new connection between singular control and optimal stopping . Bielefeld: Center for Mathematical Economics, 2016. Center for Mathematical Economics Working Papers. 565.
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