关于投票悖论、策略投票以及公平的投票规则的研究

Preference intensity hasn’t been involved in the Arrowian social welfare system because it is considered to be cardinal. However, the study in this article indicates that preference intensity is necessarily considered in aggregating of individual preferences, and that the reason for voting paradox is preference intensity is ignored or inconsequence dealt with. An aggregation function of individual preferences deals with preference intensity properly will not give rise to voting paradox and satisfies the Arrow’s axiomatic criteria except the independence of irrelevant alternatives. The reasons for strategic voting are analyzed and then a strategy-proof voting rule is deduced and proved. A fair rule for the voting solution of distribution of public wealth is deduced, by which the voting benefit will be averagely assigned among the voters.