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Lecture Notes in Economics and Mathematical Systems Ser.: Purification Problem for Constrained Games with Incomplete Information by Helmut Meister (1987, Trade Paperback)

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First, players choose their acts dependent on certain information variables, and second there are constraints on the sets of decisions for players. Format Paperback.

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Product Information

The approach presented in this book combines two aspects of generalizations of the noncooperative game as developed by Nash. First, players choose their acts dependent on certain information variables, and second there are constraints on the sets of decisions for players. After the derivation of a general (Nash)equilibrium existence theorem, some results from purification theory are used to prove the existence of an approximate equilibrium in pure strategies, that is in nonrandomized decision functions. For some types of payoff-functions and constraints, these games prove to have an (exact) equilibrium in pure strategies. The reason for considering constrained games with incomplete information is that, apart from their game-theoretic importance, they have rather widespread application. Market games with a continuum of traders as well as some statistical decision problems are covered with this approach.

Product Identifiers

Publisher
Springer Berlin / Heidelberg
ISBN-10
3540184295
ISBN-13
9783540184294
eBay Product ID (ePID)
159989815

Product Key Features

Author
Helmut Meister
Publication Name
Purification Problem for Constrained Games with Incomplete Information
Format
Trade Paperback
Language
English
Publication Year
1987
Series
Lecture Notes in Economics and Mathematical Systems Ser.
Type
Textbook
Number of Pages
X, 127 Pages

Dimensions

Item Length
9.6in
Item Width
6.7in
Item Weight
9 Oz

Additional Product Features

Series Volume Number
295
Number of Volumes
1 Vol.
Lc Classification Number
Hb139-141
Table of Content
§ 1 The Purification Problem in the Game-Theoretic Context.- 1.1 A constrained game with incomplete information.- 1.2 The purification problem.- 1.3 On existence of approximate purifications.- 1.4 Some topological properties of the set of strategies concentrated on a correspondence.- 1.5 Theorems on existence of an equilibrium.- 1.6 On existence of pure strategy equilibrium.- 1.7 Determining approximately payoff-equivalent pure strategies.- § 2 A Market Game as a Game with Incomplete Information.- 2.1 A model of a market game with a continuum of traders.- 2.2 On the connection between core, r-core and the set of r-Walras allocations.- § 3 Some Applications to Statistical Decision Theory.- 3.1 Minimax decision rules.- 3.2 Set-valued minimax estimators.- Appensdix.- References.
Copyright Date
1987
Topic
Econometrics
Intended Audience
Scholarly & Professional
Illustrated
Yes
Genre
Business & Economics

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Picture 1 of 1

Lecture Notes in Economics and Mathematical Systems Ser.: Purification Problem for Constrained Games with Incomplete Information by Helmut Meister (1987, Trade Paperback)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

All listings for this product

item 1 The Purification Problem for Constrained Games with Incomplete Information by He

item 2 The Purification Problem for Constrained Games with Incomplete Information (Le..

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