A canonical model for interactive unawareness

Heifetz, Meier and Schipper (2006) 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.

[1]  Leandro Chaves Rêgo,et al.  Extensive games with possibly unaware players , 2006, AAMAS '06.

[2]  Yossi Feinberg.  Games with Incomplete Awareness , 2005 .

[3]  Robert J. Aumann,et al.  Interactive epistemology I: Knowledge , 1999, Int. J. Game Theory.

[4]  Jing Li.  Information Structures with Unawareness , 2008 .

[5]  Burkhard C. Schipper,et al.  Interactive Unawareness , 2005, J. Econ. Theory.

[6]  Ronald Fagin,et al.  Belief, Awareness, and Limited Reasoning. , 1987, Artif. Intell..

[7]  S. Modica,et al.  Unawareness and Partitional Information Structures , 1999 .

[8]  Burkhard C. Schipper,et al.  Interactive Unawareness and Speculative Trade , 2003 .

[9]  Joseph Y. Halpern.  Alternative Semantics for Unawareness , 2000, Games Econ. Behav..

[10]  Burkhard C. Schipper,et al.  Unawareness, beliefs and games , 2007, TARK '07.

[11]  Leandro Chaves Rêgo,et al.  Interactive unawareness revisited , 2005, Games Econ. Behav..

[12]  L. Wittgenstein.  Tractatus Logico-Philosophicus , 2021, Nordic Wittgenstein Review.

[13]  Erkut Y. Ozbay.  Unawareness and strategic announcements in games with uncertainty , 2007 .

[14]  Emel Filiz,et al.  Incorporating unawareness into contract theory , 2007, TARK '07.

[15]  Zhen Liu,et al.  Fair Disclosure and Investor Asymmetric Awareness in Stock Markets , 2008 .

[16]  Xiaojian Zhao,et al.  Moral Hazard With Unawareness , 2008 .

[17]  Andrea Galeotti,et al.  Awareness as an Equilibrium Notion: Normal-Form Games , 2006 .

[18]  S. Modica,et al.  Awareness and partitional information structures , 1994 .

[19]  Barton L. Lipman,et al.  Standard state-space models preclude unawareness , 1998 .

[20]  Yossi Feinberg.  Subjective Reasoning - Games with Unawareness , 2004 .

[21]  Christian Ewerhart,et al.  Heterogeneous Awareness and the Possibility of Agreement , 2001 .

[22]  Ronald Fagin,et al.  Reasoning about knowledge , 1995 .

[23]  Aldo Rustichini,et al.  Awareness and Partitional Informational Structures , 1997 .