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Acyclicity of individual preferences is a minimal assumption in social choice theory. We replace that assumption by the direct assumption that preferences have maximal elements on a fixed agenda. We show that the core of a simple game is nonempty for all profiles of such preferences if and only...
Persistent link: https://www.econbiz.de/10005837444
strong simple game G if the voting power of each individual, measured by the it Shapley-Shubik power index, is sufficiently … monotone strong simple games if and only if the maximum voting power for all individuals tends to zero. …
Persistent link: https://www.econbiz.de/10005459364
A strong representation of a committee, formalized as a simple game, on a convex and closed set of alternatives is a game form with the members of the committee as players such that (i) the winning coalitions of the simple game are exactly those coalitions, which can get any given alternative...
Persistent link: https://www.econbiz.de/10005543493
group of agents. Fairness requires that each agent weakly prefers his consumption bundle to any other agent's bundle. In … this context, fairness is incompatible with budget-balance and non-manipulability (Green and Laffont, 1979). Our approach …
Persistent link: https://www.econbiz.de/10011674186
In this paper we address several issues related to collective dichotomous decision-making by means of quaternary voting … rules, i.e., when voters may choose between four actions: voting yes, voting no, abstaining and not turning up-which are … aggregated by a voting rule into a dichotomous decision: acceptance or rejection of a proposal. In particular we study the links …
Persistent link: https://www.econbiz.de/10010317141
Weighted committees allow shareholders, party leaders, etc. to wield different numbers of votes or voting weights as …
Persistent link: https://www.econbiz.de/10012698221
We present a new domain of preferences under which the majority relation is always quasi-transitive and thus Condorcet winners always exist. We model situations where a set of individuals must choose one individual in the group. Agents are connected through some relationship that can be...
Persistent link: https://www.econbiz.de/10005247861
Voting Power Indices enable the analysis of the distribution of power in a legislature or voting body which uses … weighted voting. Although the approach, based on co-operative game theory, has been known for a long time it has not been very …
Persistent link: https://www.econbiz.de/10005368783
Voting Power Indices enable the analysis of the distribution of power in a legislature or voting body in which …
Persistent link: https://www.econbiz.de/10005748205
Power indices have been used to evaluate the allocation of power in a wide range of voting situations. While they use … the language of game theory known measures of a priori voting power are hardly more than statistical expectations assuming …, rejected coalitions, a priori voting power, power indices, minimal winning coalitions, rational players. …
Persistent link: https://www.econbiz.de/10011106649