caa a22 4500 605475644 CHVBK 20210128100352.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s00199-015-0865-z doi (NATIONALLICENCE)springer-10.1007/s00199-015-0865-z Nash bargaining for log-convex problems [Elektronische Daten] [Cheng-Zhong Qin, Shuzhong Shi, Guofu Tan] We introduce log-convexity for bargaining problems. With the requirement of some basic regularity conditions, log-convexity is shown to be necessary and sufficient for Nash's axioms to determine a unique single-valued bargaining solution up to choices of bargaining powers. Specifically, we show that the single-valued (asymmetric) Nash solution is the unique solution under Nash's axioms without that of symmetry on the class of regular and log-convex bargaining problems, but this is not true on any larger class. We apply our results to bargaining problems arising from duopoly and the theory of the firm. These problems turn out to be log-convex but not convex under familiar conditions. We compare the Nash solution for log-convex bargaining problems with some of its extensions in the literature. Springer-Verlag Berlin Heidelberg, 2015 Bargaining problem nationallicence Non-convexity nationallicence Log-convexity nationallicence Nash solution nationallicence Nash product nationallicence Qin Cheng-Zhong Department of Economics, University of California, 93106, Santa Barbara, CA, USA aut Shi Shuzhong Guanghua School of Management, Peking University, Beijing, China aut Tan Guofu Department of Economics, University of Southern California, 90089-0253, Los Angeles, CA, USA aut Economic Theory Springer Berlin Heidelberg 58/3(2015-04-01), 413-440 0938-2259 58:3<413 2015 58 199 https://doi.org/10.1007/s00199-015-0865-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00199-015-0865-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Qin Cheng-Zhong Department of Economics, University of California, 93106, Santa Barbara, CA, USA aut NATIONALLICENCE 700 1- Shi Shuzhong Guanghua School of Management, Peking University, Beijing, China aut NATIONALLICENCE 700 1- Tan Guofu Department of Economics, University of Southern California, 90089-0253, Los Angeles, CA, USA aut NATIONALLICENCE 773 0- Economic Theory Springer Berlin Heidelberg 58/3(2015-04-01), 413-440 0938-2259 58:3<413 2015 58 199