Construction of Nash equilibrium based on multiple stopping problem in multi-person game

Anna Krasnosielska-Kobos

Abstract

We consider a multi-person stopping game with players’ priorities and multiple stopping. Players observe sequential offers at random or fixed times. Each player can obtain fixed number of rewards. For the game, we construct a Nash equilibrium. The construction is based on the solution of an optimal multiple stopping problem. A Pareto optimum of the game is given. It is also proved that the presented Nash equilibrium is a sub-game perfect Nash equilibrium. Moreover, the Nash equilibrium payoffs are unique. We also present new results related to multiple stopping problem
Author Anna Krasnosielska-Kobos WMiNI
Anna Krasnosielska-Kobos,,
- Faculty of Mathematics and Information Science
Journal seriesMathematical Methods of Operations Research, ISSN 1432-2994
Issue year2016
Vol83
No1
Pages53-70
Publication size in sheets0.85
Keywords in EnglishStopping game, Nash equilibrium, Pareto-optimality, Sub-game perfect Nash equilibrium, Multiple stopping
Abstract in PolishW artykule przedstawiono konstrukcję równowagi Nasha w grze wieloosobowej wykorzystującą optymalne momenty zatrzymania w problemie wielokrotnego stopowania. W grze tej każdy z graczy może otrzymać ustaloną liczbę wypłat. Udowodniono, jednoznaczność wypłat w równowadze Nasha w sformułowanej grze oraz pokazano, że zaproponowana strategia jest Pareto-optymalna. Dodatkowo udowodniono nowe twierdzenia dotyczące postaci rozszerzonych optymalnych momentów zatrzymania w problemie wielokrotnego stopowania.
DOIDOI:10.1007/s00186-015-0519-8
URL http://link.springer.com/article/10.1007%2Fs00186-015-0519-8
Languageen angielski
Score (nominal)25
ScoreMinisterial score = 20.0, 28-11-2017, ArticleFromJournal
Ministerial score (2013-2016) = 25.0, 28-11-2017, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 0.762 (2) - 2016=0.935 (5)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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