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The paper provides theoretical foundations for models of strategic interdependence under uncertainty that have a continuum of agents and a decomposition of uncertainty into a macro component and an agent‐specific micro component, with a law of large numbers for the latter. This macro-micro...
Persistent link: https://www.econbiz.de/10012806975
Kolmogorov's extension theorem provides a natural mapping from the space of coherent hierarchies of an agent's first-order, second- order, etc. beliefs to the space of probability measures over the exogenous parameters and the other agents' belief hierarchies. Mertens and Zamir (1985) showed...
Persistent link: https://www.econbiz.de/10011569068
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...
Persistent link: https://www.econbiz.de/10012261799
The paper provides a specification of belief systems for models of large economies with anonymity in which aggregate states depend only on cross-section distributions of types. For belief systems satisfying certain conditions of mutual absolute continuity, the paper gives a necessary and...
Persistent link: https://www.econbiz.de/10009007127
Rodrigues-Neto (2009) has shown that a given specification of posteriors of different players in an incomplete-information setting is compatible with a common prior if and only if the posteriors satisfy the so-called cycle equations. This note shows that, if, for any player, any element of the...
Persistent link: https://www.econbiz.de/10009007131
Persistent link: https://www.econbiz.de/10001131992
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...
Persistent link: https://www.econbiz.de/10012153362
Persistent link: https://www.econbiz.de/10000728069
Neeman (2004) and Heifetz and Neeman (2006) have shown that, in auctions with incomplete information about payoffs, full surplus extraction is only possible if agents’ beliefs about other agents are fully informative about their own payoff parameters. They argue that the set of...
Persistent link: https://www.econbiz.de/10010230371
Persistent link: https://www.econbiz.de/10010479149