An approach from bankruptcy rules applied to the apportionment problem in proportional electoral systems

Journal Title: Operations Research and Decisions - Year 2016, Vol 26, Issue 2

Abstract

(Discrete) bankruptcy problems associated with apportionment problems have been defined. The authors studied which allocations for apportionment problems have been obtained when (discrete) bankruptcy rules were applied to the associated bankruptcy problems. They have shown that the (dis-crete) constrained equal losses rule coincides with the greatest remainder method for apportionment problems. Furthermore, new properties related to governability have been proposed for apportionment methods. Finally, several apportionment methods satisfying governability properties have been applied to the case of the Spanish Elections in 2015.

Authors and Affiliations

Joaquín SÁNCHEZ-SORIANO, Natividad LLORCA, Encarnación ALGABA

Keywords

Related Articles

Probabilities on streams and reflexive games

Probability measures on streams (e.g. on hypernumbers and p-adic numbers) have been defined. It was shown that these probabilities can be used for simulations of reflexive games. In particular, it can be proved that Auma...

Decisions involving databases, fuzzy databases and codatabases

The authors consider the following three ways of decision making: (i) decisions involving databases by means of standard tools of sequential logic and universal algebra; (ii) deci sions involvingfuzzy databases by means...

A multi-level decision making model for the supplier selection problem in a fuzzy situation

Supplier selection plays a vital role in evolving an effective supply chain and the overall performance of organisations. Choosing suppliers may involve different levels arranged in a hierarchical structure. Decisions ar...

Choquet integral calculus on a continuous support and its applications

The results of the calculation of the Choquet integral of a monotone function on the nonnegative real line have been described. Next, the authors prepresented Choquet integral of nonmonotone functions, by constructing mo...

Determining models of influence

We consider a model of opinion formation based on aggregation functions. Each player modifies his opinion by arbitrarily aggregating the current opinion of all players. A player is influential on another player if the op...

Download PDF file
  • EP ID EP323615
  • DOI -
  • Views 32
  • Downloads 0

How To Cite

Joaquín SÁNCHEZ-SORIANO, Natividad LLORCA, Encarnación ALGABA (2016). An approach from bankruptcy rules applied to the apportionment problem in proportional electoral systems. Operations Research and Decisions, 26(2), 127-145. https://europub.co.uk/articles/-A-323615