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Simple estimators for the parameters of discrete dynamic games (with entry/exit examples)
Author(s) -
Pakes Ariel,
Ostrovsky Michael,
Berry Steven
Publication year - 2007
Publication title -
the rand journal of economics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.687
H-Index - 108
eISSN - 1756-2171
pISSN - 0741-6261
DOI - 10.1111/j.1756-2171.2007.tb00073.x
Subject(s) - continuation , estimator , simple (philosophy) , sample (material) , mathematics , econometrics , computer science , mathematical optimization , statistics , physics , philosophy , epistemology , thermodynamics , programming language
We estimate parameters from data on discrete dynamic games, using entry/exit games to illustrate. Semiparametric first‐stage estimates of entry and continuation values are computed from sample averages of the realized continuation values of entrants and incumbents. Under certain assumptions, these values are easy‐to‐compute analytic functions of the parameters of interest. The entry and continuation values are used to determine the model's predictions for entry and exit conditional on the parameter vector, and the estimates compare these predictions with the data on entry and exit rates. Small‐sample properties are discussed and lead to the simplest of estimators.