# Strategy-proof and symmetric social choice functions for public good economies

Article Abstract:

A study was conducted to examine how axioms of social choice functions react with economies having one private good and one pure public good. It was observed that the strategy-proofness proposition is true for this condition as no agents are seen to benefit by misrepresenting his preferences. The anonymity axiom is also accurate as when the preferences of two agents are switched, it was found that their consumption bundles are also transposed. The remaining axioms that include symmetry and individual rationality were also found to be true.

Publication Name: Econometrica

Subject: Mathematics

ISSN: 0012-9682

Year: 1999

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# A simple existence proof of demand functions without standard transitivity

Article Abstract:

Proof of the existence of demand functions without standard transitivity is forwarded. Computational studies show that convexity assumption implies a relatively weaker form of transitivity. Such a property would thus remain necessary in demand theory. The existence proof of a demand function would thus be significantly simplified when an explicit transitivity axiom is not explicitly imposed on the preference relation.

Publication Name: The Journal of Mathematical Economics

Subject: Mathematics

ISSN: 0304-4068

Year: 1996

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# The joint continuity of the expected payoff functions

Article Abstract:

A measure theoretic technique-based proof for joint continuity of expected payoff functions is presented.

Publication Name: The Journal of Mathematical Economics

Subject: Mathematics

ISSN: 0304-4068

Year: 2006

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