Equitable Intergenerational Preferences on Restricted Domains

A New Equity Condition for Infinite Utility Streams and the Possibility of being Paretian

“…The investigations by Suzumura and Shinotsuka (2003) and Sakai (2004) motivate doing a similar analysis for our "Hammond Equity for the future" condition. Since "Hammond Equity for the future" is a weak condition when compared to other consequentialist equity conditions, it is of interest to establish whether it to a greater extent can be combined with Paretian conditions.…”

“…Such consequentialist equity conditions have been used in the context of infinite streams by, e.g., Birchenhall and Grout (1979), Asheim (1991), and Fleurbaey and Michel (2001), as well as Suzumura and Shinotsuka (2003) and Sakai (2004). The former of the two conditions below is in the exact form suggested by Suzumura and Shinotsuka (2003).…”

“…This impossibility result has subsequently been strengthened by showing that the inconsistency remains even if "Strong Pareto" is weakened to "Weak Pareto" (Fleurbaey and Michel, 2003), if "Strong Pareto" is weakened to "Sensitivity for the present" (Sakai, 2003), and if numerical representability is substituted for the assumption that the social preferences are complete, transitive and continuous in the sup norm topology (Basu and Mitra, 2003a). Suzumura and Shinotsuka (2003) and Sakai (2004) show that the same kind of impossibility results can be established when consequentialist equity conditions are combined with "Strong Pareto". In particular, Suzumura and Shinotsuka (2003) establish that the "Lorenz Domination principle" is not compatible with "Strong Pareto" when social preferences are upper semi-continuous in the sup norm topology.…”

Intergenerational equity: sup, inf, lim sup, and lim inf

“…If numerical measurement is not desired, then possibility results obtain (see Svensson [25]). Many works are devoted to investigating the nature of this impossibility: see, for example, [3,4,12,16,17,22,23,24,29].…”

Continuity and egalitarianism in the evaluation of infinite utility streams

“…For example, Asheim and Tungodden (2004) and Bossert, Sprumont andSuzumura (2005) extended Hammond's (1976) equity axiom formulated in the traditional framework of social choice theory to the context of ranking infinite utility streams. Likewise, Fleurbaey and Michel (2001;, Hara, Shinotsuka, Suzumura and Xu (2005) and Sakai (2006) introduced two versions of distributional egalitarianism in the spirit of Atkinson (1970) and Sen (1997), viz., the Pigou-Dalton transfer principle and the Lorenz domination principle.…”