(SI) Teorija socialne izbire je usmerjena v spodbujanje znanja in razumevanja kolektivnega odločanja v družbenem in gospodarskem kontekstu. Seveda se problemi kolektivnega odločanja ali družbene izbire pojavljajo v različnih oblikah. Med drugim vključujejo vprašanja, kot so: kako združiti posamezne preference, prepričanja ali presoje v skupinsko odločitev na razumen način; kako pravično razdeliti vire ali predmete med ljudi; kako najbolje prenesti posamezne preference med politične stranke ali kandidate v kolektivno izbiro, tj. oblikovanje in analizo glasovalnih pravil in volilnih sistemov. V predlaganem projektu se nameravamo posvetiti izbranim problemom, ki povezujejo pravično razdelitev sredstev in teorijo grafov.
(EN) The social choice theory aims to promote knowledge and understanding of collective decision-making in social and economic contexts. Of course, problems of collective decision-making or social choice take many forms. These include questions such as: how to combine individual preferences, beliefs, or judgments into a collective decision in a rational way; how to distribute resources or objects fairly among people; how best to translate individual preferences among political parties or candidates into a collective choice, i.e. the design and analysis of voting rules and electoral systems. In the proposed project, we intend to focus on selected problems that link the fair distribution of resources and graph theory.