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'''Swap regret''' is a concept from [[game theory]]. It is a generalization of regret in a repeated, ''n''-decision game.
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==Definition==
A player's ''swap-regret'' is defined to be the following:
 
: <math>\mbox{swap-regret}=
\sum_{i=1}^n \max_{j \leq n}\frac{1}{T}\sum_{t=1}^T x^t_i \cdot (p^t_j-p^t_i).\,</math>
 
Intuitively, it is how much a player could improve by switching each occurrence of decision ''i'' to the best decision ''j'' possible in hindsight.  The swap regret is always nonnegative.
 
Swap regret is useful for computing [[correlated equilibrium|correlated equilibria]].
 
==References==
{{unreferenced|date=July 2008}}
 
[[Category:Game theory]]
 
 
{{gametheory-stub}}

Revision as of 14:26, 11 February 2014

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