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¾ÜºÙ ¡ÚÊó¹ð¼Ô¡ÛNoem½æ^ Navarro»á¡ÊUniversit½æP de Sherbrooke¡Ë¥«¥Ê¥À

¡Ú¥¿¥¤¥È¥ë¡Û¡¡"How to Add Apples and Pears: Non-Symmetric Nash Bargaining and the Generalized Joint Surplus" (joint with Samuel Danthine)

ÏÀʸhttp://sites.google.com/site/navarroprada/research2

Noem½æ^ Navarro»á¤Ï¸½ºß¡¢¥«¥Ê¥ÀUniversit½æP de SherbrookeÂç³Ø¤Ë¤ª¤±¤ë¿·¿Ê¤Î¸¦µæ¼Ô¡Êassistant professor¡Ë¤Ç¤¢¤ë¡£¥¹¥Ú¥¤¥ó¤ÎUniversidad Carlos III de Madrid¤ÇÇî»Î¹æ¤ò¼è¤é¤ì¤¿¡£¸ò¾ÄÌäÂê¡¢¥½¡¼¥·¥ã¥ë¥Í¥Ã¥È¥ï¡¼¥¯¤Ë¤ª¤±¤ë¸ò¾Ä¤Ë¤Ä¤¤¤Æ¤½¤ÎÍýÏÀ¸¦µæ¤¬ÃøÌ¾¤Ê¹ñºÝ³Ø½Ñ»ï¤Ë·ÇºÜ¤µ¤ì¤Æ¤¤¤ë¡£¶áǯ¤Ï¼Â¸³¸¦µæ¤â¤¢¤ë¡£º£²ó¡¢2½µ´Ö¤ÎͽÄê¤ÇÆüËܤËÂںߤµ¤ì¤ëµ¡²ñ¤Ë¸¦µæÊó¹ð¤ò¤·¤ÆÄº¤¯¡£¤Ê¤ª¡¢¥é¥ó¥Á¥¿¥¤¥à¥»¥ß¥Ê¡¼¤Ç¤âÊ̤覵æ¤òÊó¹ð¤·¤Æ¤¤¤¿¤À¤¯Í½Äê¤Ç¤¢¤ë¡£
¡Ú³µÍסۡ§We generalize the equivalence of the non-symmetric Nash bargaining solution and the linear division of the joint surplus when bargainers use different utility scales. This equivalence in the general case requires the surplus each agent receives to be expressed in compatible, or comparable, units. This result is valid in the case of bargaining over multiple-issues. Our conclusions have important implications for comparative static exercises and calibrated work.
For example, when comparing the joint surplus of economies with different preferences, it is crucial to lay out the surplus in terms of one utility unit or the other. On the other hand, while it is necessary to transform the units when expressing the non-symmetric Nash bargaining solution as a share of the joint surplus, it is not necessary to perform a unit transformation when maximizing directly the generalized Nash product. Finally, we discuss the requirements on the curvatures of the agents¡Ç utility functions, or, in other words, on the bargainers¡Ç attitudes towards risk.
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