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Isotone Equilibrium in Games of Incomplete Information

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dc.creator McAdams, David
dc.date 2002-08-09T19:08:05Z
dc.date 2002-08-09T19:08:05Z
dc.date 2002-08-09T19:08:20Z
dc.date.accessioned 2013-05-31T18:32:04Z
dc.date.available 2013-05-31T18:32:04Z
dc.date.issued 2013-06-01
dc.identifier http://hdl.handle.net/1721.1/1568
dc.identifier.uri http://koha.mediu.edu.my:8181/jspui/handle/1721
dc.description An isotone pure strategy equilibrium exists in any game of incomplete information in which (1) each player i's action set is a finite sublattice of multi-dimensional Euclidean space, (2) types are multidimensional and atomless, and each player's interim expected payoff function satisfies two "non-primitive conditions" whenever others adopt isotone pure strategies: (3) single-crossing in own action and type and (4) quasisupermodularity in own action. Similarly, given that (134) and (2') types are multi-dimensional (with atoms) an isotone mixed strategy equilibrium exists. Conditions (34) are satisfied in supermodular and log-supermodular games given affiliated types, and in games with independent types in which each player's ex post payoff satisfies (a) supermodularity in own action and (b) non-decreasing differences in own action and type. These results also extend to games with a continuum action space when each player's ex post payoff is also continuous in his and others' actions.
dc.format 347053 bytes
dc.format application/pdf
dc.language en_US
dc.relation MIT Sloan School of Management Working Paper;4248-02
dc.subject Equilibrium
dc.subject Isotone
dc.title Isotone Equilibrium in Games of Incomplete Information


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