A NODES-TOGGLING GAME WITH CONTROLLABLE STOPPING TIME

King Tak Lee ()
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King Tak Lee: School of Engineering and Science, Monash University Malaysia, Bandar Sunway, 46150 Petaling Jaya, Malaysia

International Game Theory Review (IGTR), 2006, vol. 08, issue 04, 581-594

Abstract: We consider a two-person multi-stage game with a very sparse information structure. Two players in the blind alternately move a chip which toggles the colors of nodes located around a circle. The second player also controls and picks the stopping time which is unknown to the first player. We solve this game by showing the first player has a strategy which is uniformly optimal against the strategies of the second player.

Keywords: Nodes-toggling game; controllable stopping time; uniformly optimal strategy; Subject Classification: 91A05; Subject Classification: 91A20; Subject Classification: 91A50 (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S0219198906001120

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