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Arrow's Theorem and Turing Computability

Mihara, H. Reiju - 2001

A social welfare function for a denumerable society satisfies {Pairwise Computability} if for each pair (x,y) of alternatives, there exists an algorithm that can decide from any description of each profile on {x,y} whether the society prefers x to y. I prove that if a social welfare function...

Persistent link: https://www.econbiz.de/10014093364

Dissolving Arrow's Impossibility Theorem

Choi, Hak - 2010

Arrow (1950) initiates an economic model for democratic game, but ends up with a dictatorship conclusion. This paper combines the behaviors of politicians and voters to solve the democratic problem. It shows that democracy is costly. The cost and utility considerations give rise to winner or...

Persistent link: https://www.econbiz.de/10013149522

A representative individual from Arrovian aggregation of parametric individual utilities

Herzberg, Frederik - In: Journal of mathematical economics 46 (2010) 6, pp. 1115-1124

Persistent link: https://www.econbiz.de/10009300165

Judgment aggregation functions and ultraproducts

Herzberg, Frederik - 2008

The relationship between propositional model theory and social decision making via premise-based procedures is explored …-respecting, systematic judgment aggregation functions is established. The proof constructs an ultraproduct of profiles, viewed as … other properties of such judgment aggregation functions, in particular sovereignty and monotonicity, as well as an …

Persistent link: https://www.econbiz.de/10010272601