Incomplete-information games in large populations with anonymity

Arbeitspapier

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.

Object Details

• Language: Englisch

References and Relationships

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

Classification and Topics

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

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Hellwig, Martin
• Event: Veröffentlichung
• (who): Max Planck Institute for Research on Collective Goods
• (where): Bonn
• (when): 2020

Further information

• Handle: http://hdl.handle.net/10419/230975
• Last update: 10.03.2025, 11:43 AM CET