Arbeitspapier

Nash equilibria of threshold type for two-player nonzero-sum games of stopping

This paper analyses two-player nonzero-sum games of optimal stopping on a class of regular diffusions with singular boundary behaviour (in the sense of Itô and McKean (1974) [19], p. 108). We prove that Nash equilibria are realised by stopping the diffusion at the first exit time from suitable intervals whose boundaries solve a system of algebraic equations. Under mild additional assumptions we also prove uniqueness of the equilibrium.

Language
Englisch

Bibliographic citation
Series: Center for Mathematical Economics Working Papers ; No. 563

Classification
Wirtschaft
Subject
nonzero-sum Dynkin games
Nash equilibrium
smooth-fit principle
regular diffusions
free boundary problems

Event
Geistige Schöpfung
(who)
De Angelis, Tiziano
Ferrari, Giorgio
Moriarty, John
Event
Veröffentlichung
(who)
Bielefeld University, Center for Mathematical Economics (IMW)
(where)
Bielefeld
(when)
2016

Handle
URN
urn:nbn:de:0070-pub-29047482
Last update
10.03.2025, 11:44 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • De Angelis, Tiziano
  • Ferrari, Giorgio
  • Moriarty, John
  • Bielefeld University, Center for Mathematical Economics (IMW)

Time of origin

  • 2016

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