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Power Indices

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Power indices are mathematical tools used in cooperative game theory to measure the influence or power of individual players within a voting system or decision-making body. They quantify the ability of a player to affect outcomes, considering factors such as voting weight and coalition dynamics.
lightbulbAbout this topic
Power indices are mathematical tools used in cooperative game theory to measure the influence or power of individual players within a voting system or decision-making body. They quantify the ability of a player to affect outcomes, considering factors such as voting weight and coalition dynamics.
This article reviews some of the basic institutional elements and empirical regularities of the U.S. electoral college system. Historical election results confirm the expected dominance of the winner-takeall allocation of electors within... more
Terms of address in Shona derive from a multiplicity of sources, both modern and traditional. Proper names, nicknames, titles, pronouns and prefixes are commonly used. Emphasis is on the discussion of the type of names the Shona Utilize,... more
The high success rate of Commission proposals seems to suggest that the European Commission is very influential in promoting European policies. However, the Commission's agenda-setting activity might be affected by its anticipation of... more
A parametric study to clarify efficiency limiting mechanisms and to maximize the performance of the CH 2 F 2 laser has led to the discovery of five new CO 2 pump lines and ten new FIR laser lines. The wavelengths of the new lines fill a... more
Both physical and mental effort are thought to affect vigilance. Mental effort is known for its vigilance declining effects, but the effects of physical effort are less clear. This study investigated whether these two forms of effort... more
by BER AM
In the present paper, we consider a nonlinear fractional snap model with respect to a G-Caputo derivative and subject to non-periodic boundary conditions. Some qualitative analysis of the solution, such as existence and uniqueness, are... more
Power and Fairness'' in Bad Segeberg, at the 4th Hamburg Workshop in Game Theory and Applications in Hamburg, Public Choice Society Meetings in San Antonio, European Public Choice Society Meeting in Paris and at Italian Meeting of Game... more
A set o f new power indices is introduced extending Banzhaf power index and allowing us to take into account agents' preferences to coalesce. An axiomatic characterization of intensity functions representing a desire of agents to coalesce... more
To evaluate the prognostic impact of minimal residual disease (MRD), quantitative real-time polymerase chain reaction (RQ-PCR) of clonal IGH rearrangements was performed in 29 patients with mantle cell lymphoma (MCL) treated with... more
Rationale Typical users of 3,4-methylenedioxymethamphetamine (MDMA or "ecstasy") are polydrug users, combining MDMA with alcohol or cannabis [most active compound: delta-9-tetrahydrocannabinol (THC)]. Objectives The aim of the present... more
Rationale Typical users of 3,4-methylenedioxymethamphetamine (MDMA or "ecstasy") are polydrug users, combining MDMA with alcohol or cannabis [most active compound: delta-9-tetrahydrocannabinol (THC)]. Objectives The aim of the present... more
A well known and established model in communication policy in sociology and marketing is that of opinion leadership. Opinion leaders are actors in a society who are able to affect the behavior of other members of the society called... more
A set of agents arrive simultaneously to a service facility. Each agent requires the facility for a certain length of time and incurs a cost for each unit of time spent in queue. Attached to each agent is an index, which is the ratio of... more
A set of agents arrive simultaneously to a service facility. Each agent requires the facility for a certain length of time and incurs a cost for each unit of time spent in queue. Attached to each agent is an index, which is the ratio of... more
Allogeneic hematopoietic stem cell transplantation (allo-HSCT) is a potentially curative treatment option for patients with acute lymphoblastic leukemia (ALL). The curative potential of allo-HSCT for ALL is, in part, due to the... more
With global climate changes, biological invasions are considered to be one of the main causes of the decline of freshwater biodiversity. In this context, predicted increases in global temperature may alter the geographical distributions... more
Resorting to political economy approaches, this paper attempts to associate the industrial structure in the European Union (EU) to the coalition formation process between European member states. Using a well-known measure of relative... more
Nest predation has been identified as the primary mechanism contributing to reduction of reproductive success for the marsh-breeding red-winged blackbird (Agelaius phoeniceus). Differences in rates of nest predation have been linked to... more
Submergent aquatic vegetation (SAV) is a powerful indicator of environmental conditions in both marine and fresh water ecosystems. Quickbird imagery was used to map SAV at three sites across the Great Lakes. Unsupervised classifications... more
A well known and established model in communication policy in sociology and marketing is that of opinion leadership. Opinion leaders are actors in a society who are able to affect the behavior of other members of the society called... more
A set of new power indices is introduced extending Banzhaf power index and allowing to take into account agents' preferences to coalesce. An axiomatic characterization of intensity functions representing a desire of agents to coalesce is... more
This paper is devoted to the concept of indirect control in corporate shareholding networks. This topic is important in financial economics. Since shareholding size does not actually reflect an investor's power-control in corporate... more
FLAVIO TONELLI Department of Production Engineering, Thermo energetic, and Mathematical Models University of Genoa Via All'Opera Pia 15, 16145 Genoa ITALY flavio.tonelli@diptem.unige .it ... ROBERTO REVETRIA Department of Production... more
In mathematics, monotonicity is used to denote the nature of the connection between variables. Hence for example, a variable is said to be a monotonically increasing function of another variable if an increase in the value of the latter... more
Starting from Max Weber's definitions of power we discuss the meaning of his concept Chance and its relationships to the probabilistic notions that play a central role in definitions of indices of measuring voting power. Using Martin... more
Multiterawatt hybrid GARPUN-MTW laser is described being developed under Petawatt Excimer Laser Project at P.N. Lebedev Physical Institute as a test bench facility for verification the challenge of KrF laser as a driver in the... more
Assessing the voting power of a decision maker depends on the appropriate evaluation of all factors influencing such power. Models constructed with the use of a set of given factors are usually statistically significant, but at the same... more
In the paper, the consequences of using double majority voting in the European Council of Ministers are analysed. An equivalent single majority distribution of seats is proposed and evaluated.
Assessing the voting power of a decision maker depends on the appropriate evaluation of all factors influencing such power. Models constructed with the use of a set of given factors are usually statistically significant, but at the same... more
Classical power analysis does not involve preferences of players (parties). Classical power indices are constructed under assumption of equal probability of occurrence for each coalition. The paper contains a proposition of relaxation of... more
Downloadable! Shapley-Shubik and Penrose-Banzhaf (absolute and relative) power measures and their interpretations are analysed. Both of them could be successfully derived as cooperative game values, and at the same time both of them can... more
A set of new power indices is introduced extending Banzhaf power index and allowing to take into account agents' preferences to coalesce. An axiomatic characterization of intensity functions representing a desire of agents to coalesce is... more
The Lower Danube, being an important navigable way, is recognized as a heavily modified water body according to the Water Framework Directive criteria. The riparian zone is subjected to various anthropo- genic pressures, such as discharge... more
IVIE working papers o®er in advance the results of economic research under way in order to encourage a discussion process before sending them to scienti¯c journals for their¯nal publication. * We want to thank M. Maschler and J. M.... more
Founded in 1963 by two prominent Austrians living in exile-the sociologist Paul F. Lazarsfeld and the economist Oskar Morgenstern-with the financial support from the Ford Foundation, the Austrian Federal Ministry of Education, and the... more
In the recent past, the choice of adequate voting weights and decision rules for the Council of the European Union (EU) has been a highly contested issue in EU intergovernmental negotiations. In general terms, the selection of a threshold... more
Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and... more
In this paper, we analyze some values and power indices from a different point of view that are well-defined in the social context where the goods are public. In particular, we consider the Public Good index (Holler, 1982), the Public... more
INDIRECT CONTROL AND POWER To determine who has the power within a stock corporate company can be a quite complex problem, especially when control is achieved through alliances between shareholders. This problem arises especially in cases... more
In this paper we define a new family of solutions for the class of cooperative games with transferable utility, in which the set of players exhibits a structure of a priori unions. This family is deeply connected with the Shapley value... more
Johnston (1978), Deegan and Packel (1979), and Holler (1982) proposed three power indices for simple games: Johnston index, Deegan-Packel index, and the Public Good Index. In this paper, methods to compute these indices by means of the... more
We report on a continuous-wave singly resonant optical parametric oscillator (SRO) based on periodically poled KTiOPO 4. This is pumped by a frequency-doubled single-frequency Nd:YAG master oscillator power ampli®er system. Pump wave... more
We report on a green-pumped continuous-wave singly resonant optical parametric oscillator (cw SRO) based on MgO-doped periodically poled LiNbO 3. Operating the SRO at crystal temperatures between 40.0°C to 80.0°C an idler wavelength range... more
We present a 532 nm-pumped singly-resonant cw optical parametric oscillator based on MgO-doped PPLN with a minimum threshold pump power of 0.3 W. The OPO with a two-mirror standing-wave cavity is optimized by using a tunable diode laser... more
The paper presents several new approaches to evaluate power distribution in an electoral body. The index of consistency of positions of two groups (briefly, the consistency index) is defined which is used to separate possible coalitions... more
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