Arbeitspapier
The War of Attrition under Uncertainty: Theory and Robust Testable Implications
We study a generic model of the war of attrition with symmetric information and stochastic payoffs that depend on a homogeneous linear diffusion. We first show that a player's mixed Markov strategy can be represented by an intensity measure over the state space together with a subset of the state space over which the player concedes with probability 1. We then show that, if players are asymmetric, then, in all mixed-strategy Markov-perfect equilibria, these intensity measures must be discrete, and characterize any such equilibrium through a variational system for the players' value functions. We illustrate these findings by revisiting the standard model of exit in a duopoly under uncertainty and construct a mixed-strategy Markov-perfect equilibrium in which attrition takes place on path despite firms having different liquidation values. We show that firms' stock prices comove negatively over the attrition zone and exhibit resistance and support patterns documented by technical analysis.
- Language
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Englisch
- Bibliographic citation
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Series: CESifo Working Paper ; No. 10811
- Classification
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Wirtschaft
Optimization Techniques; Programming Models; Dynamic Analysis
Intertemporal Firm Choice: Investment, Capacity, and Financing
Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
- Subject
-
war of attrition
mixed-strategy equilibrium
uncertainty
- Event
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Geistige Schöpfung
- (who)
-
Décamps, Jean-Paul
Gensbittel, Fabien
Mariotti, Thomas
- Event
-
Veröffentlichung
- (who)
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Center for Economic Studies and ifo Institute (CESifo)
- (where)
-
Munich
- (when)
-
2023
- Handle
- Last update
-
10.03.2025, 11:42 AM CET
Data provider
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Arbeitspapier
Associated
- Décamps, Jean-Paul
- Gensbittel, Fabien
- Mariotti, Thomas
- Center for Economic Studies and ifo Institute (CESifo)
Time of origin
- 2023
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