Sunspot equilibrium in positive recursive general quitting games

Eilon Solan; Omri N. Solan

doi:https://doi.org/10.1007/s00182-021-00773-1

Sunspot equilibrium in positive recursive general quitting games

Eilon Solan, Omri N. Solan

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that positive recursive general quitting games, which are quitting games in which (a) each player has a single quitting action and possibly several continue actions, (b) the stage payoff as long as quitting does not occur is 0, and (c) the payoff when quitting occurs is non-negative, admit a sunspot ε-equilibrium, for every ε> 0.

Original language	English
Pages (from-to)	891-909
Number of pages	19
Journal	International Journal of Game Theory
Volume	50
Issue number	4
DOIs	https://doi.org/10.1007/s00182-021-00773-1
State	Published - Dec 2021

Keywords

C72
C73
General quitting games
Stochastic games
Sunspot equilibrium
Undiscounted equilibrium

All Science Journal Classification (ASJC) codes

Statistics and Probability
Mathematics (miscellaneous)
Social Sciences (miscellaneous)
Economics and Econometrics
Statistics, Probability and Uncertainty

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https://doi.org/10.1007/s00182-021-00773-1

Cite this

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title = "Sunspot equilibrium in positive recursive general quitting games",

abstract = "We prove that positive recursive general quitting games, which are quitting games in which (a) each player has a single quitting action and possibly several continue actions, (b) the stage payoff as long as quitting does not occur is 0, and (c) the payoff when quitting occurs is non-negative, admit a sunspot ε-equilibrium, for every ε> 0.",

keywords = "C72, C73, General quitting games, Stochastic games, Sunspot equilibrium, Undiscounted equilibrium",

author = "Eilon Solan and Solan, {Omri N.}",

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AU - Solan, Omri N.

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N2 - We prove that positive recursive general quitting games, which are quitting games in which (a) each player has a single quitting action and possibly several continue actions, (b) the stage payoff as long as quitting does not occur is 0, and (c) the payoff when quitting occurs is non-negative, admit a sunspot ε-equilibrium, for every ε> 0.

AB - We prove that positive recursive general quitting games, which are quitting games in which (a) each player has a single quitting action and possibly several continue actions, (b) the stage payoff as long as quitting does not occur is 0, and (c) the payoff when quitting occurs is non-negative, admit a sunspot ε-equilibrium, for every ε> 0.

KW - C72

KW - C73

KW - General quitting games

KW - Stochastic games

KW - Sunspot equilibrium

KW - Undiscounted equilibrium

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DO - https://doi.org/10.1007/s00182-021-00773-1

M3 - مقالة

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VL - 50

SP - 891

EP - 909

JO - International Journal of Game Theory

JF - International Journal of Game Theory

IS - 4

ER -

Sunspot equilibrium in positive recursive general quitting games

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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