Title
Loss of skills in coordination games.
Abstract
This paper deals with 2-player coordination games with vanishing actions, which are repeated games where all diagonal payoffs are strictly positive and all non-diagonal payoffs are zero with the following additional property: At any stage beyond r, if a player has not played a certain action for the last r stages, then he unlearns this action and it disappears from his action set. Such a game is called an r-restricted game. To evaluate the stream of payoffs we use the average reward. For r = 1 the game strategically reduces to a one-shot game and for r ≥ 3 in Schoenmakers (Int Game Theory Rev 4:119–126, 2002) it is shown that all payoffs in the convex hull of the diagonal payoffs are equilibrium rewards. In this paper for the case r = 2 we provide a characterization of the set of equilibrium rewards for 2 × 2 games of this type and a technique to find the equilibrium rewards in m × m games. We also discuss subgame perfection.
Year
DOI
Venue
2011
10.1007/s00182-010-0268-0
Int. J. Game Theory
Keywords
Field
DocType
subgame perfect equilibrium,repeated game,coordination game,game theory,convex hull,coordination games,nash equilibrium,repeated games
Welfare economics,Combinatorial game theory,Mathematical economics,Repeated game,Symmetric game,Normal-form game,Sequential game,Example of a game without a value,Mathematics,Stochastic game,Extensive-form game
Journal
Volume
Issue
ISSN
40
4
1432-1270
Citations 
PageRank 
References 
0
0.34
1
Authors
3
Name
Order
Citations
PageRank
János Flesch110826.87
Gijs Schoenmakers2417.21
O. J. Vrieze34919.22