Arbeitspapier

Incomplete-information games in large populations with anonymity

The paper provides theoretical foundations for models of strategic interdependence under uncertainty that have a continuum of agents and a decomposition of uncertainty into an macro component and an agent-speci…c micro component, with a law of large numbers for the latter. The decomposition of uncertainty is implied by a condition of exchangeability of agents’types, which is imposed equivalently imposed at the level of the prior or at the level of beliefs, i.e., posteriors. Under an additional condition of anonymity in payo¤s, agents’behaviours are fully determined by their macro beliefs about the cross-section distribution of types and by the cross-section distribution of other agents’ strategies. Any probability distribution over cross-section distributions of types is admissible, but not every macro belief function is compatible with a common prior.

Sprache
Englisch

Erschienen in
Series: Discussion Papers of the Max Planck Institute for Research on Collective Goods ; No. 2020/20

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)
2020

Handle
Letzte Aktualisierung
10.03.2025, 11:43 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

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

Entstanden

  • 2020

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