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Player type distributions as state variables and information revelation in zero sum repeated games with discounting
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| Title: | Player type distributions as state variables and information revelation in zero sum repeated games with discounting | Authors: | Bergin, James | Permanent link: | http://hdl.handle.net/10197/603 | Date: | Aug-1992 | Online since: | 2008-10-22T14:08:54Z | Abstract: | This paper examines the role of the player type distributions in repeated zero sum games of incomplete information with discounting of payoffs. In particular the strategic "sufficiency" of the posterior distributions for histories and the Limiting properties of the posterior sequence are discussed. It is shown that differentiability of the value function is sufficient to allow the posteriors to serve as "state" variables for histories. The limiting properties of the posterior distributions are considered and a characterization given of the set of possible limit points of the posterior distribution. This characterization is given in terms of the "value" of information in the one-stage game. | Type of material: | Journal Article | Publisher: | Institute for Operations Research and the Management Sciences (INFORMS) | Journal: | Mathematics of Operations Research | Volume: | 17 | Issue: | 3 | Start page: | 640 | End page: | 656 | Copyright (published version): | Copyright 1992 Institute of Management Sciences/or Operations Research of America | Keywords: | Discounted payoffs; Incomplete information; Zero-sum games | Subject LCSH: | Distribution (Probability theory) Game theory Probabilities |
Other versions: | http://search.ebscohost.com/login.aspx?direct=true&db=bth&AN=4475247&site=ehost-live | Language: | en | Status of Item: | Peer reviewed | ISSN: | 0364-765X | This item is made available under a Creative Commons License: | https://creativecommons.org/licenses/by-nc-sa/1.0/ |
| Appears in Collections: | Geary Institute Research Collection Economics Research Collection |
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