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Communication,timing, and common learning
Authors:Jakub Steiner  Colin Stewart
Institution:1. Kellogg School of Management, Northwestern University, 2001 Sheridan Road, Evanston, IL 60208-2009, United States;2. Department of Economics, University of Toronto, 150 St. George St., Toronto, ON, Canada M5S 3G7;1. Department of Economics, School of Social Sciences, University of Manchester, Manchester M13 9PL, United Kingdom;2. Economics, Adam Smith Business School, University of Glasgow, Glasgow, United Kingdom;1. CREATES, Department of Economics and Business, Aarhus University, Fuglesangs Allé 4, 8210 Aarhus V, Denmark;2. University of Sydney Business School, Australia;3. University of Rome “Tor Vergata”, Italy
Abstract:We study the effect of stochastically delayed communication on common knowledge acquisition (common learning). If messages do not report dispatch times, communication prevents common learning under general conditions even if common knowledge is acquired without communication. If messages report dispatch times, communication can destroy common learning under more restrictive conditions. The failure of common learning in the two cases is based on different infection arguments. Communication can destroy common learning even if it ends in finite time, or if agents communicate all of their information. We also identify conditions under which common learning is preserved in the presence of communication.
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