8,879 research outputs found
Interactive Unawareness
The standard state-spaces of asymmetric information preclude non-trivial forms of unawareness (Modica and Rustichini, 1994, Dekel, Lipman and Rustichini, 1998). We introduce a generalized state-space model that allows for non-trivial unawareness among several individuals, and which satisfies strong properties of knowledge as well as all the desiderata on unawareness proposed this far in the literature.unawareness; awareness; knowledge; interactive epistemology; speculative trade; bounded perception.
Interactive Unawareness Revisited
We analyze a model of interactive unawareness introduced by Heifetz, Meier
and Schipper (HMS). We consider two axiomatizations for their model, which
capture different notions of validity. These axiomatizations allow us to
compare the HMS approach to both the standard (S5) epistemic logic and two
other approaches to unawareness: that of Fagin and Halpern and that of Modica
and Rustichini. We show that the differences between the HMS approach and the
others are mainly due to the notion of validity used and the fact that the HMS
is based on a 3-valued propositional logic.Comment: 26 page
Unawareness, Beliefs and Speculative Trade
We define a generalized state-space model with interactive unawareness and probabilistic beliefs. Such models are desirable for potential applications of asymmetric unawareness. We compare unawareness with probability zero belief. Applying our unawareness belief structures, we show that the common prior assumption is too weak to rule out speculative trade in all states. Yet, we prove a generalized ""No-trade"" theorem according to which there can not be common certainty of strict preference to trade. Moreover, we show a generalization of the ""No-agreeing-to-disagree"" theorem.unawareness, awareness, zero probability, type-space, common prior, agreement, speculative trade, interactive epistemology
Unawareness, Beliefs, and Speculative Trade
We define a generalized state-space model with interactive unawareness and probabilistic beliefs. Such models are desirable for potential applications of asymmetric unawareness. Applying our unawareness belief structures, we show that the common prior assumption is too weak to rule out speculative trade in all states. Yet, we prove a generalized "No-speculative-trade" theorem according to which there can not be common certainty of strict preference to trade. Moreover, we prove a generalization of the "No-agreeing-to-disagree" theorem. Finally, we show the existence of a universal unawareness belief type space.Unawareness, awareness, common prior, agreement, speculative trade, universal type-space, interactive epistemology, inattention
Unawareness, Beliefs and Games
We define a generalized state-space model with interactive unawareness and probabilistic beliefs. Such models are desirable for many potential applications of asymmetric unawareness. We develop Bayesian games with unawareness, define equilibrium, and prove existence. We show how equilibria are extended naturally from lower to higher awareness levels and restricted from higher to lower awareness levels. We use our unawareness belief structure to show that the common prior assumption is too weak to rule out speculative trade in all states. Yet, we prove a generalized “No-trade†theorem according to which there can not be common certainty of strict preference to trade. Moreover, we show a generalization of the “No-agreeing-to-disagree†theorem.unawareness; awareness; type-space; Bayesian games; incomplete information; equilibrium; common prior; agreement; speculative trade; interactive epistemology
Interactive Unawareness and Speculative Trade
The standard state-spaces of asymmetric information preclude non- trivial forms of unawareness (Dekel, Lipman and Rustichini, 1998). We introduce a generalized state-space model that allows for non-trivial unawareness among several individuals, and which satisfies strong properties of knowledge as well as all the desiderata on unawareness proposed this far in the literature. In an example of speculative trade, we demonstrate how mutual unawareness of fundamentals allows for common knowledge of willingness to trade together with strict preference for trade. Such a state of affairs is impossible to model in standard information structures with strong properties of knowledge.unawareness, awareness, knowledge, interactive epistemology, speculative trade, bounded perception
Unawareness, Beliefs and Games
We define a generalized state-space model with interactive unawareness and probabilistic beliefs. Such models are desirable for many potential applications of asymmetric unawareness. We develop Bayesian games with unawareness, define equilibrium, and prove existence. We show how equilibria are extended naturally from lower to higher awareness levels and restricted from higher to lower awareness levels. We use our unawareness belief structure to show that the common prior assumption is too weak to rule out speculative trade in all states. Yet, we prove a generalized ``No-trade'' theorem according to which there can not be common certainty of strict preference to trade. Moreover, we show a generalization of the ``No-agreeing-to-disagree'' theorem.unawareness, awareness, type-space, Bayesian games, incomplete information, equilibrium, common prior, agreement, speculative trade, interactive epistemology
A Canonical Model for Interactive Unawareness
Heifetz, Meier and Schipper (2005) introduced a generalized state-space model that allows for non-trivial unawareness among several individuals and strong properties of knowledge. We show that this generalized state-space model arises naturally if states consist of maximally consistent sets of formulas in an appropriate logical formulation
Unawareness, Beliefs and Games
We define a generalized state-space model with interactive unawareness and probabilistic beliefs. Such models are desirable for many potential applications of asymmetric unawareness. We develop Bayesian games with unawareness, define equilibrium, and prove existence. We show how equilibria are extended naturally from lower to higher awareness levels and restricted from higher to lower awareness levels. We use our unawareness belief structure to show that the common prior assumption is too weak to rule out speculative trade in all states. Yet, we prove a generalized “No-trade” theorem according to which there can not be common certainty of strict preference to trade. Moreover, we show a generalization of the “No-agreeing-to-disagree” theorem
A Canonical Model for Interactive Unawareness
Heifetz, Meier and Schipper (2005) introduced a generalized state-space model that allows for non-trivial unawareness among several individuals and strong properties of knowledge. We show that this generalized state-space model arises naturally if states consist of maximally consistent sets of formulas in an appropriate logical formulation.unawareness; awareness; knowledge; interactive epistemology; modal logic; lack of conception; bounded perception
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