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[[Linear utilities]], [[Leontief utilities]] and [[Cobb–Douglas utilities]] are special cases of CES functions and thus are also homothetic. On the other hand, [[quasilinear utilities]] are not always homothetic. E.g, the function <math>u(x,y) = x+\sqrt{y}</m ...

...<ref name=":0">{{Cite web|url=http://www.healthutilities.com/|title=Health Utilities Inc. "Leaders in Health-Related Quality of Life Research"|website=www.healt ...first3=David|last4=Torrance|first4=George|date=2003-10-16|title=The Health Utilities Index (HUI®): concepts, measurement properties and applications|journal=Hea ...

...f elections|url=http://link.springer.com/10.1007/s11127-017-0476-2|journal=Public Choice|language=en|volume=173|issue=3–4|pages=267–288|doi=10.1007/s11127-01 ...] … I define the ''social utility'' of a candidate as the sum of all voter utilities for that candidate.|author-link=Samuel Merrill III}}</ref> ...

* (CE) All agents maximize their utilities given their budget. I.e, if <math>P\cdot Y \leq P\cdot X_i</math> then <mat ...ics)|goods]], x and y, and two agents, Alice and Bob. In all examples, the utilities are weakly-convex and continuous. ...

=== Additive binary utilities === ...outcome is dominated, for example, by the distribution 3,2,0,0, where the utilities are 3,3,2,2,3. ...

...ctric-reliability-2023 |website=cpuc.ca.gov |publisher=[[California Public Utilities Commission]] |access-date=12 April 2023 |date=February 23, 2023}}</ref> imp ...773-qc-manual-2020.pdf |website=cpuc.ca.gov |publisher=[[California Public Utilities Commission]] |ref={{SfnRef|CPUC|2020}} |date=November 2020}} ...

=== Deciding whether a PROP allocation exists: cardinal utilities === ...|last2=Freeman|first2=Rupert|last3=Shah|first3=Nisarg|year=2016|title=Fair Public Decision Making {{!}} Proceedings of the 2017 ACM Conference on Economics a ...

...the tax change has on the social welfare function by changing individual's utilities. For a tax increase, this is negative. ...al marginal utility for the top bracket taxpayers to the marginal value of public funds for the government, which depends on the social welfare function. The ...

...Loan. Thanks to this Uruguay's [http://www.ose.com.uy/ OSE] (the country's public & sanitation utility) has slowly evolved, water treatment supplies have inc ...

| license = [[GNU General Public License|GPL-2.0-only]]<ref>{{cite web|title=FreeArc news|url=http://freearc ...flate]]), [[gzip|.gz]] or [[bzip2]]. (The scoring formula used in this non-public test, ...

...(also called the Nash welfare) is PE but not fPO. Moreover, the product of utilities in any fPO allocation is at most 1/3 of the maximum product. There are five === Maximizing a weighted sum of utilities === ...

...al cyclones]]. Both information minimum pressure and wind speed have their utilities. Wind speed can describe the destructive potential of a tropical cyclone.<r ...ssure and wind allows for the two to be used to give equivalencies for the public.<ref name=":2" /> Pressure-wind relations can be used when information is i ...

...ound-robin'' procedure]] returns a complete EF1 allocation with [[additive utilities]]. The [[Envy-graph procedure|''envy-graph'' procedure]] returns a complet ...ive additive utilities'', every allocation that maximizes the ''product of utilities'' (also known as the ''Nash welfare'') is EF1. Since it is obvious that the ...

...nsert it into the index. This can occur either shortly after its [[Initial public offering|IPO]] or on the first trading day of September. The existing const | [[EDP Renováveis]] || Utilities || {{Euronext3|EDPR}} || 9.69 ...

...more general than additive utilities (but not as general as combinatorial utilities). Some examples are:<ref name=handbook/>{{rp|289–294}} ...r an equilibrium between the supply (the set of objects, each one having a public price) and the demand (the agents’ desires, each agent having the same budg ...

...'Hang Seng Total Return Index Series''. Hang Seng in turn, despite being a public company, is controlled by another listed international financial institutio |Utilities ...

...ds an [[Envy-free|envy-free allocation]]. If the agents have [[quasilinear utilities]], that is, their utility is the value of items plus the amount of money th ...the players, since an equal monetary transfer does not affect the relative utilities. Then, effectively, the buying agent pays ''p''/2 to the selling agent. The ...

...facility location|facility location problem]]: a certain facility (e.g. a public school) has to be built on a line; each voter has an ideal spot on the line ...rule is [[Utilitarian rule|utilitarian]] – it maximizes the sum of agents' utilities. This also implies that it is [[Pareto efficient]]. ...

...ors]] to consumers given the obligations of control areas and transmission utilities within those control areas to maintain reliable operations of the interconn ...ion Through Open Access Non-discriminatory Transmission Services by Public Utilities, Docket RM95-8-000, Washington, DC, March 29. ...

...ings of the 2017 ACM Conference on Economics and Computation |chapter=Fair Public Decision Making |series=EC'17|year=2017|pages=629–646|doi=10.1145/3033274.3 ...ing|cardinal ballots]], then the cost is distributed proportionally to the utilities the voters enjoy from the project. The rule selects the projects which can ...