Duality and Anti-duality for Allocation Rules in Economic Problems I: An Axiomatic Analysis

Takayuki Oishi ()

No 38, Discussion Papers from Meisei University, School of Economics

Abstract: We develop the notions of duality and anti-duality for axiomatic analysis of allocation rules. First, we show basic properties of duality and anti-duality for allocation rules. Next, using the notion of duality and axioms involved in axiomatizations of the Shapley rule for airport problems, we axiomatize the Shapley rule for bidding ring problems. Finally, using the notion of anti- duality and axioms involved in axiomatizations of the nucleolus for airport problems, we axiomatize the nucleolus rule for bidding ring problems. From the approach proposed, we may derive appropriate interpretations of axioms involved in axiomatizations of economic rules.

Keywords: duality; anti-duality; axiomatization; Shapley rules; nucleolus rules (search for similar items in EconPapers)
JEL-codes: C69 C71 (search for similar items in EconPapers)
Pages: 22 pages
Date: 2018-03
New Economics Papers: this item is included in nep-gth
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