For a definition of rationalizability
, see Chapter 4 of Osborne and Rubinstein (1994).
Japan) present a mathematical treatment of three major questions: what is the meaning of the idea that individual or collective choice is rational; how the concept of rationality is related to other properties that may be imposed on a rationalizing relation, such as the coherence property of transitivity or the richness properties of reflexivity and completeness; and what is the importance of the coherence and richness properties of rationalization, as opposed to mere rationalizability
Roberts, 1990, Rationalizability
, Learning, and Equilibrium in Games With Strategic Complementarities, Econometrica, 58: 1255-1277.
109) To put it another way, the rationalizability
of sex-dependent workplace-presentation rules must depend on the idea that, even granting that sex and gender or gender-performance can be conceptually disaggregated, (110) we nevertheless have reason to maintain a state of affairs in which sex and gender remain linked as a matter of fact--i.
, learning, and equilibrium m games with strategic complementarities.
17) For a rigorous definition of rationalizability
of an individual player's strategy see FUDENBERG & TIROLE, supra note 14, at 58.
After all, if it turned out that doing that which one has most reason to do (performative rationality) were equivalent with doing that for which, in retrospect, one will find most reason to have done (rationalizability
) then the pursuit of rationalizability
will have the same substantive consequences as the pursuit of rationality.
The relevant game theoretic notions of dominance and rationalizability
But for many games, rationalizability
does not identify a unique solution.
In contrast, rationalizability
makes much weaker predictions, and does not distinguish between any outcomes that cannot be excluded by common knowledge of rationality.
of a choice rule is equivalent to the Pareto property (if an allocation is preferred by all, then it is implemented).
Other solution concepts that coarsen the Nash equilibrium are objective correlated equilibrium, subjective correlated equilibrium, and rationalizability
(Van Damme 2002; Aumann and Dreze 2008).