Admissibility in Games¹ Export

@article{brandenburger-friedenberg-keisler-2008, abstract = {Suppose that each player in a game is rational, each player thinks the other players are rational, and so on. Also, suppose that rationality is taken to incorporate an admissibility requirement2014that is, the avoidance of weakly dominated strategies. Which strategies can be played? We provide an epistemic framework in which to address this question. Specifically, we formulate conditions of rationality and mth-order assumption of rationality (RmAR) and rationality and common assumption of rationality (RCAR). We show that (i) RCAR is characterized by a solution concept we call a "self-admissible set"; (ii) in a "complete" type structure, RmAR is characterized by the set of strategies that survive m+1 rounds of elimination of inadmissible strategies; (iii) under certain conditions, RCAR is impossible in a complete structure.}, address = {Stern School of Business, New York University, New York, NY 10012, U.S.A.; adam.brandenburger@stern.nyu.edu; www.stern.nyu.edu/\~{}abranden; Olin School of Business, Washington University, St. Louis, MO 63130, U.S.A.; friedenberg@wustl.edu; www.olin.wustl.edu/faculty/friedenberg; Dept. of Mathematics, University of WisconsinMadison, Madison, WI 53706, U.S.A.; keisler@math.wisc.edu; www.math.wisc.edu/\~{}keisler}, author = {Brandenburger, Adam and Friedenberg, Amanda and Keisler, Jerome H.}, citeulike-article-id = {4697438}, citeulike-linkout-0 = {http://dx.doi.org/10.1111/j.1468-0262.2008.00835.x}, citeulike-linkout-1 = {http://www3.interscience.wiley.com/cgi-bin/abstract/119389729/ABSTRACT}, doi = {10.1111/j.1468-0262.2008.00835.x}, journal = {Econometrica}, keywords = {415-1, admissibility}, number = {2}, pages = {307--352}, posted-at = {2009-06-01 05:39:22}, priority = {2}, title = {Admissibility in Games¹}, url = {http://dx.doi.org/10.1111/j.1468-0262.2008.00835.x}, volume = {76}, year = {2008} }

TY - JOUR ID - brandenburger-friedenberg-keisler-2008 L3 - citeulike-article-id:4697438 N2 - Suppose that each player in a game is rational, each player thinks the other players are rational, and so on. Also, suppose that rationality is taken to incorporate an admissibility requirement2014that is, the avoidance of weakly dominated strategies. Which strategies can be played? We provide an epistemic framework in which to address this question. Specifically, we formulate conditions of rationality and mth-order assumption of rationality (RmAR) and rationality and common assumption of rationality (RCAR). We show that (i) RCAR is characterized by a solution concept we call a "self-admissible set"; (ii) in a "complete" type structure, RmAR is characterized by the set of strategies that survive m+1 rounds of elimination of inadmissible strategies; (iii) under certain conditions, RCAR is impossible in a complete structure. IS - 2 JF - Econometrica AD - Stern School of Business, New York University, New York, NY 10012, U.S.A.; adam.brandenburger@stern.nyu.edu; www.stern.nyu.edu/~abranden; Olin School of Business, Washington University, St. Louis, MO 63130, U.S.A.; friedenberg@wustl.edu; www.olin.wustl.edu/faculty/friedenberg; Dept. of Mathematics, University of WisconsinMadison, Madison, WI 53706, U.S.A.; keisler@math.wisc.edu; www.math.wisc.edu/~keisler EP - 352 TI - Admissibility in Games¹ VL - 76 SP - 307 KW - 415-1 KW - admissibility AU - Brandenburger, Adam AU - Friedenberg, Amanda AU - Keisler, Jerome PY - 2008/// UR - http://dx.doi.org/10.1111/j.1468-0262.2008.00835.x ER -