Academic Journal

On values of repeated games with signals

التفاصيل البيبلوغرافية
العنوان: On values of repeated games with signals
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
الوصف
تدمد:10505164
21688737
DOI:10.1214/14-AAP1095