Pintér, Miklós (2013): Common priors for generalized type spaces.
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Abstract
The notion of common prior is well-understood and widely-used in the incomplete information games literature. For ordinary type spaces the common prior is defined.
Pinter and Udvari (2011) introduce the notion of generalized type space. Generalized type spaces are models for various bonded rationality issues, for finite belief hierarchies, unawareness among others. In this paper we define the notion of common prior for generalized types spaces.
Our results are as follows: the generalization (1) suggests a new form of common prior for ordinary type spaces, (2) shows some quantum game theoretic results (Brandenburger and La Mura, 2011) in new light.
Item Type: | MPRA Paper |
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Original Title: | Common priors for generalized type spaces |
Language: | English |
Keywords: | Type spaces; Generalized type spaces; Common prior; Harsányi Doctrine; Quantum games |
Subjects: | D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D83 - Search ; Learning ; Information and Knowledge ; Communication ; Belief ; Unawareness C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games |
Item ID: | 44819 |
Depositing User: | Miklos Pinter |
Date Deposited: | 08 Mar 2013 02:27 |
Last Modified: | 29 Sep 2019 01:22 |
References: | Abramsky S, Brandenburger A (2011) The sheaf-theoretic structure of non-locality and contextuality, manuscript Aumann RJ (1974) Subjectivity and correlation in randomized strategies. Journal of Mathematical Economics 1:67--96 Aumann RJ (1976) Agreeing to disagree. The Annals of Statistics 4(6):1236--1239 Aumann RJ (1987) Correlated equilibrium as an expression of bayesian rationality. Econometrica 55(1):1--18 Aumann RJ (1999) Interacitve epistemology I: Knowledge. International Journal of Game Theory 28:263--300 Böge W, Eisele T (1979) On solutions of bayesian games. International Journal of Game Theory 8(4):193--215 Brandenburger A, Dekel E (1993) Hierarchies of beliefs and common knowledge. Journal of Economic Theory 59:189--198 Brandenburger A, {La Mura} P (2011) Quantum decision theory, manuscript Filar J, Beck J (2007) Games, Incompetence and Training, Annals of the International Society of Dynamic Games, vol~9, Springer, pp 93--110 Harsányi J (1967-68) Games with incomplete information played by bayesian players part I., II., III. Management Science 14:159--182, 320--334, 486--502 Heifetz A (1993) The bayesian formulation of incomplete information - the non-compact case. International Journal of Game Theory 21:329--338 Heifetz A, Mongin P (2001) Probability logic for type spaces. Games and Economic Behavior 35(1-2):31--53 Heifetz A, Samet D (1998) Topology-free typology of beliefs. Journal of Economic Theory 82:324--341 Heifetz A, Samet D (1999) Coherent beliefs are not always types. Journal of Mathematical Economics 32:475--488 Mertens JF, Zamir S (1985) Formulation of bayesian analysis for games with incomplete information. International Journal of Game Theory 14:1--29 Mertens JF, Sorin S, Zamir S (1994) Repeated games part a. CORE Discussion Paper No 9420 Pintér M (2005) Type space on a purely measurable parameter space. Economic Theory 26:129--139 Pintér M (2008) Every hierarchy of beliefs is a type. CoRR abs/0805.4007, \urlprefix\url{http://arxiv.org/abs/0805.4007} Pintér M (2010) The non-existence of a universal topological type space. Journal of Mathematical Economics 46:223--229 Pintér M (2011) A note on the common prior, manuscript Pintér M, Udvari Z (2011) Generalized type spaces, manuscript |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/44819 |