Degressive proportionality - source, findings and discussion of the Cambridge Compromise. Mathematical Economics, 2011, Nr 7 (14), s. 39-50
The principle of degressive proportionality in relation to the division of indivisible goods in the past few years – especially since the signing of the Treaty of Lisbon – has been one of the topics frequently appearing in studies of economists, mathematicians, lawyers and people involved in politics. It combines a purely theoretical and easily definable question with a very important practical problem that concerns primarily members of the European Union and countries aspiring to become one. The article shall include a debate and discussion of the findings of the Cambridge Compromise concerning proposals to solve the problem of allocating seats in the European Parliament.
AN IMPROVEMENT IN LARSA AND ITS IMPLEMENTATION ON ALLOCATION OF SEATS TO CATEGORIES IN AN ORGANIZATION
In this paper, we propose modifications to LaRSA a fast exact algorithm for the allocation of seat for the EU Parliament. This improvement shall reduce its run time by a considerable amount. Further, we apply this modified version of LaRSA which uses the concept of degressive proportionality on the seat allocation system in Joint Entrance Examination(JEE), India. This modified algorithm takes applicants of JEE 2013 as an input and gives a fair distribution of seats among them. Our objective is to bring transparency in the system and to eliminate prejudices and political bartering.
Voting over piece-wise linear tax methods
We analyze the problem of choosing the most appropriate method for apportioning taxes in a democracy. We consider a simple theoretical model of taxation and restrict our attention to piece-wise linear tax methods, which are almost ubiquitous in advanced democracies world- wide. We show that if we allow agents to vote for any method within a rich domain of piece-wise linear methods, then a majority voting equilibrium exists. Furthermore, if most voters have income below mean income then each method within the domain can be supported in equilibrium.