TY - JOUR
DP - National Agricultural Library
DB - PubAg
JO - Proceedings of the National Academy of Sciences of the United States of America
TI - Averaging principle for second-order approximation of heterogeneous models with homogeneous models
A1 - Fibich, Gadi
A4 - Fibich, Gadi
A4 - Gavious, Arieh
A4 - Solan, Eilon
EP - 2012 v.109 no.48
KW - auctions
KW - game theory
KW - models
KW - social networks
AN - 1735434
AB - Typically, models with a heterogeneous property are considerably harder to analyze than the corresponding homogeneous models, in which the heterogeneous property is replaced by its average value. In this study we show that any outcome of a heterogeneous model that satisfies the two properties of differentiability and symmetry is O (ε ²) equivalent to the outcome of the corresponding homogeneous model, where ε is the level of heterogeneity. We then use this averaging principle to obtain new results in queuing theory, game theory (auctions), and social networks (marketing).
PY - 2012
LA -
DA - 2012-11-27
VL - v. 109
IS - no. 48
SP - pp. 19545-19550
DO - 10.1073/pnas.1206867109
ER -