Academic Journal
On values of repeated games with signals
العنوان: | On values of repeated games with signals |
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المؤلفون: | Gimbert, Hugo, Renault, Jérôme, Sorin, Sylvain, Venel, Xavier, Zielonka, Wiesław |
بيانات النشر: | The Institute of Mathematical Statistics |
سنة النشر: | 2016 |
المجموعة: | Project Euclid (Cornell University Library) |
مصطلحات موضوعية: | Multistage game, repeated games with signals, repeated games with symmetric information, Borelian evaluation, limsup value, uniform value, 91A20, 91A05, 91A15, 60G35 |
الوصف: | We study the existence of different notions of value in two-person zero-sum repeated games where the state evolves and players receive signals. We provide some examples showing that the limsup value (and the uniform value) may not exist in general. Then we show the existence of the value for any Borel payoff function if the players observe a public signal including the actions played. We also prove two other positive results without assumptions on the signaling structure: the existence of the $\sup$ value in any game and the existence of the uniform value in recursive games with nonnegative payoffs. |
نوع الوثيقة: | text |
وصف الملف: | application/pdf |
اللغة: | English |
تدمد: | 1050-5164 2168-8737 |
Relation: | http://projecteuclid.org/euclid.aoap/1452003243; Ann. Appl. Probab. 26, no. 1 (2016), 402-424 |
DOI: | 10.1214/14-AAP1095 |
الاتاحة: | http://projecteuclid.org/euclid.aoap/1452003243 https://doi.org/10.1214/14-AAP1095 |
Rights: | Copyright 2016 Institute of Mathematical Statistics |
رقم الانضمام: | edsbas.EAA8CB54 |
قاعدة البيانات: | BASE |
تدمد: | 10505164 21688737 |
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DOI: | 10.1214/14-AAP1095 |