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Merging and Learning

IMS Lecture Notes-Monograph Series, Vol. 30, 1996

STATISTICS, PROBABILITY AND GAME THEORY: PAPERS IN HONOR OF DAVID BLACKWELL, Tom Ferguson, Lloyd Shapley, J.B. MacQueen, eds.

Posted: 7 Mar 2012

See all articles by Ehud Lehrer

Ehud Lehrer

Tel Aviv University - School of Mathematical Sciences

Rann Smorodinsky

Technion-Israel Institute of Technology - The William Davidson Faculty of Industrial Engineering & Management

Date Written: March 7, 2012

Abstract

This review presents the well-known notion of merging, introduced by Blackwell and Dubins, and its later generalizations. While the original concept of merging refers to all future events, the two new concepts, of weak and of almost weak merging, are concerned only with forecasting near-future events. Necessary and sufficient conditions for almost weak merging and necessary conditions for weak merging are given.

Keywords: merging, learning, equilibrium

JEL Classification: C72, D83

Suggested Citation

Lehrer, Ehud and Smorodinsky, Rann, Merging and Learning (March 7, 2012). IMS Lecture Notes-Monograph Series, Vol. 30, 1996, STATISTICS, PROBABILITY AND GAME THEORY: PAPERS IN HONOR OF DAVID BLACKWELL, Tom Ferguson, Lloyd Shapley, J.B. MacQueen, eds., Available at SSRN: https://ssrn.com/abstract=2017422

Ehud Lehrer

Tel Aviv University - School of Mathematical Sciences ( email )

Tel Aviv 69978
Israel

Rann Smorodinsky (Contact Author)

Technion-Israel Institute of Technology - The William Davidson Faculty of Industrial Engineering & Management ( email )

Haifa 32000
Israel

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