Title
Deconstruction of Infinite Extensive Games using coinduction
Abstract
Finite objects and more specifically finite games are formalized using induction, whereas infinite objects are formalized using coinduction. In this article, after an introduction to the concept of coinduction, we revisit on infinite (discrete) extensive games the basic notions of game theory. Among others, we introduce a definition of Nash equilibrium and a notion of subgame perfect equilibrium for infinite games. We use those concepts to analyze well known infinite games, like the dollar auction game and the centipede game and we show that human behaviors that are often considered as illogic are perfectly rational, if one admits that human agents reason coinductively.
Year
Venue
Keywords
2009
Clinical Orthopaedics and Related Research
subgame perfect equilibrium,nash equilibrium,game theory,human behavior
Field
DocType
Volume
Combinatorial game theory,Mathematical economics,Repeated game,Subgame perfect equilibrium,Game theory,Normal-form game,Subgame,Sequential game,Centipede game,Mathematics
Journal
abs/0904.3
Citations 
PageRank 
References 
4
0.50
5
Authors
1
Name
Order
Citations
PageRank
Pierre Lescanne1925123.70