The serious deficiencies of majority voting in both theory and practice are shown via recent experimental results. The fact is that the winner of an election is highly dependent on minor candidacies and is not only the outcome of the electorate?s will (Arrow?s paradox). A remedy is proposed :...

Continuous-time game dynamics are typically first order systems where payoffs determine the growth rate of the playersʼ strategy shares. In this paper, we investigate what happens beyond first order by viewing payoffs as higher order forces of change, specifying e.g. the acceleration of the...

Borda proposed to assign points to each of m candidates. Condorcet proposed to assign points to each of m! rankings of candidates. One is appropriate for electing, the other for ranking. They satisfy different types of monotonicity that are incompatible.

The survey presents recent results in the theory of two-person zero-sum repeated games and their connections with differential and continuous-time games. The emphasis is made on the following (1) A general model allows to deal simultaneously with stochastic and informational aspects. (2) All...