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Learning and efficiency in a gambling market. (English) Zbl 0822.90029

Summary: We present a statistical model which uses data on National Football League games and betting lines to study how agents learn from past outcomes and to test market efficiency. Using Kalman Filter estimation, we show that teams’ abilities exhibit substantial week-to-week variation during the season. This provides an ideal environment in which to study how agents learn from past information. While we do not find strong evidence of market inefficiency, we are able to make several observations on market learning. In particular, agents have more difficulty learning from “noisy” observations and appear to weight recent observations less than our statistical model suggests is optimal.

MSC:

91B82 Statistical methods; economic indices and measures
90B90 Case-oriented studies in operations research
91E40 Memory and learning in psychology
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