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The de Finetti prob...
The de Finetti problem with uncertain competition
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- Ekström, Erik, 1977- (författare)
- Uppsala universitet,Sannolikhetsteori och kombinatorik
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- Milazzo, Alessandro (författare)
- School of Management and Economics, Dept. ESOMAS, University of Turin, C.so Unione Sovietica 218bis, Turin, Italy,Univ Torino, Sch Management & Econ, Dept ESOMAS, Cso Unione Soviet 218 bis, I-10134 Turin, Italy.
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- Olofsson, Marcus (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Umera Univ, Dept Math & Math Stat, S-90187 Umera, Sweden.
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(creator_code:org_t)
- Society for Industrial & Applied Mathematics (SIAM), 2023
- 2023
- Engelska.
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Ingår i: SIAM Journal of Control and Optimization. - : Society for Industrial & Applied Mathematics (SIAM). - 0363-0129 .- 1095-7138. ; 61:5, s. 2997-3017
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We consider a resource extraction problem which extends the classical de Finetti problem for a Wiener process to include the case when a competitor, who is equipped with the ability to extract all the remaining resources in one piece, may exist. This situation is modeled as a nonzero-sum controller-and-stopper game with incomplete information. For this stochastic game we provide a Nash equilibrium with an explicit structure. In equilibrium, the agent and the competitor use singular strategies in such a way that a two-dimensional process, which represents available resources and the filtering estimate of active competition, reflects in a specific direction along a given boundary.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Nyckelord
- controller-and-stopper game
- the de Finetti problem
- uncertain competition
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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