Entitlement (fair division) in the context of "Right"

Women's rights are the rights and entitlements claimed for women and girls worldwide. They formed the basis for the women's rights movement in the 19th century and the feminist movements during the 20th and 21st centuries. In some countries, these rights are institutionalized or supported by law, local custom, and behavior, whereas in others, they are ignored and suppressed. They differ from broader notions of human rights through claims of an inherent historical and traditional bias against the exercise of rights by women and girls, in favor of men and boys.

Issues commonly associated with notions of women's rights include the right to bodily integrity and autonomy, to be free from sexual violence, to vote, to hold public office, to enter into legal contracts, to have equal rights in family law, to work, to fair wages or equal pay, to have reproductive rights, to own property, and to education.

Fair division is an optimisation problem in game theory of dividing a set of resources among several parties who have an entitlement to them so that each party receives their due share. The central tenet of fair division is that such a division should be performed by the players themselves, without the need for external arbitration, as only the players themselves really know how they value the goods.

There are many different kinds of fair division problems, depending on the nature of goods to divide, the criteria for fairness, the nature of the players and their preferences, and other criteria for evaluating the quality of the division. The archetypal fair division algorithm is divide and choose. The research in fair division can be seen as an extension of this procedure to various more complex settings.

In mathematics and political science, the quota rule describes a desired property of proportional apportionment methods. It says that the number of seats allocated to a party should be equal to their entitlement plus or minus one. The ideal number of seats for a party, called their seat entitlement, is calculated by multiplying each party's share of the vote by the total number of seats. Equivalently, it is equal to the number of votes divided by the Hare quota. For example, if a party receives 10.56% of the vote, and there are 100 seats in a parliament, the quota rule says that when all seats are allotted, the party may get either 10 or 11 seats. The most common apportionment methods (the highest averages methods) violate the quota rule in situations where upholding it would cause a population paradox, although unbiased apportionment rules like Webster's method do so only rarely.

The quota or divide-and-rank methods make up a category of apportionment rules, i.e. algorithms for allocating seats in a legislative body among multiple groups (e.g. parties or federal states). The quota methods begin by calculating an entitlement (basic number of seats) for each party, by dividing their vote totals by an electoral quota (a fixed number of votes needed to win a seat, as a unit). Then, leftover seats, if any are allocated by rounding up the apportionment for some parties. These rules are typically contrasted with the more popular highest averages methods (also called divisor methods).

By far the most common quota method are the largest remainders or quota-shift methods, which assign any leftover seats to the "plurality" winners (the parties with the largest remainders, i.e. most leftover votes).

In conflict of laws, habitual residence is the standard used to determine the law which should be applied to determine a given legal dispute or entitlement. It can be contrasted with the law on domicile, traditionally used in common law jurisdictions to do the same thing.

Habitual residence is determined based on the totality of circumstances which may include both future intention and past experience. There is normally only one habitual residence where the individual usually resides and routinely returns to after visiting other places. It is the geographical place considered "home" for a reasonably significant period of time.

In mathematics and fair division, apportionment problems involve dividing (apportioning) a whole number of identical goods fairly across several parties with real-valued entitlements. The original, and best-known, example of an apportionment problem involves distributing seats in a legislature between different federal states or political parties. However, apportionment methods can be applied to other situations as well, including bankruptcy problems, inheritance law (e.g. dividing animals), manpower planning (e.g. demographic quotas), and rounding percentages.

Mathematically, an apportionment method is just a method of rounding real numbers to natural numbers. Despite the simplicity of this problem, every method of rounding suffers one or more paradoxes, as proven by the Balinski–Young theorem. The mathematical theory of apportionment identifies what properties can be expected from an apportionment method.