Arbeitspapier

Incomplete-information games in large populations with anonymity

The paper provides mathematical foundations for modeling strategic interdependence with a continuum of agents where uncertainty has an aggregate component and an agent-specific component and the latter satisfies a conditional law of large numbers. This decomposition of uncertainty is implied by a condition of anonymity in beliefs, under which the agent in question considers the other agents’ types to be essentially pairwise exchangeable. If there is also anonymity in payoff functions, all strategically relevant aspects of beliefs are contained in an agent’s macro beliefs about the cross-section distribution of the other agents’types. The paper also gives conditions under which a function assigning macro beliefs to types is compatible with the existence of a common prior.

Sprache
Englisch

Erschienen in
Series: Discussion Papers of the Max Planck Institute for Research on Collective Goods ; No. 2019/14

Klassifikation
Wirtschaft
Game Theory and Bargaining Theory: General
Asymmetric and Private Information; Mechanism Design
Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
Thema
Incomplete-information games
large populations
belief functions
common priors
exchangeability
conditional independence
conditional exact law of large numbers

Ereignis
Geistige Schöpfung
(wer)
Hellwig, Martin
Ereignis
Veröffentlichung
(wer)
Max Planck Institute for Research on Collective Goods
(wo)
Bonn
(wann)
2019

Handle
Letzte Aktualisierung
20.09.2024, 08:21 MESZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Hellwig, Martin
  • Max Planck Institute for Research on Collective Goods

Entstanden

  • 2019

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