NDLI: Quitting games

Content Provider	Springer Nature Link
Author	Solan, Eilon Vieille, Nicolas
Copyright Year	2003
Abstract	Quitting games are multi-player sequential games in which, at every stage, each player has the choice between continuing and quitting. The game ends as soon as at least one player chooses to quit; each player i then receives a payoff r S i, which depends on the set S of players that did choose to quit. If the game never ends, the payoff to each player is zero.¶ We exhibit a four-player quitting game, where the “simplest” equilibrium is periodic with period two. We argue that this implies that all known methods to prove existence of an equilibrium payoff in multi-player stochastic games are therefore bound to fail in general, and provide some geometric intuition for this phenomenon.
Starting Page	365
Ending Page	381
Page Count	17
File Format	PDF
ISSN	00207276
Journal	International Journal of Game Theory
Volume Number	31
Issue Number	3
e-ISSN	14321270
Language	English
Publisher	Springer-Verlag
Publisher Date	2003-06-01
Publisher Place	Berlin Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Social Sciences Economics and Econometrics Statistics, Probability and Uncertainty

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Quitting games – An example