Nash bargaining for log-convex problems

Verfasser / Beitragende:
[Cheng-Zhong Qin, Shuzhong Shi, Guofu Tan]
Ort, Verlag, Jahr:
2015
Enthalten in:
Economic Theory, 58/3(2015-04-01), 413-440
Format:
Artikel (online)
ID: 605475644
LEADER caa a22 4500
001 605475644
003 CHVBK
005 20210128100352.0
007 cr unu---uuuuu
008 210128e20150401xx s 000 0 eng
024 7 0 |a 10.1007/s00199-015-0865-z  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00199-015-0865-z 
245 0 0 |a Nash bargaining for log-convex problems  |h [Elektronische Daten]  |c [Cheng-Zhong Qin, Shuzhong Shi, Guofu Tan] 
520 3 |a 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. 
540 |a Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Bargaining problem  |2 nationallicence 
690 7 |a Non-convexity  |2 nationallicence 
690 7 |a Log-convexity  |2 nationallicence 
690 7 |a Nash solution  |2 nationallicence 
690 7 |a Nash product  |2 nationallicence 
700 1 |a Qin  |D Cheng-Zhong  |u Department of Economics, University of California, 93106, Santa Barbara, CA, USA  |4 aut 
700 1 |a Shi  |D Shuzhong  |u Guanghua School of Management, Peking University, Beijing, China  |4 aut 
700 1 |a Tan  |D Guofu  |u Department of Economics, University of Southern California, 90089-0253, Los Angeles, CA, USA  |4 aut 
773 0 |t Economic Theory  |d Springer Berlin Heidelberg  |g 58/3(2015-04-01), 413-440  |x 0938-2259  |q 58:3<413  |1 2015  |2 58  |o 199 
856 4 0 |u https://doi.org/10.1007/s00199-015-0865-z  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00199-015-0865-z  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Qin  |D Cheng-Zhong  |u Department of Economics, University of California, 93106, Santa Barbara, CA, USA  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Shi  |D Shuzhong  |u Guanghua School of Management, Peking University, Beijing, China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Tan  |D Guofu  |u Department of Economics, University of Southern California, 90089-0253, Los Angeles, CA, USA  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Economic Theory  |d Springer Berlin Heidelberg  |g 58/3(2015-04-01), 413-440  |x 0938-2259  |q 58:3<413  |1 2015  |2 58  |o 199