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...|title=Exchange equilibrium and coalitions|journal=Journal of Mathematical Economics|volume=1|pages=63–66|year=1974|last1=Gale|first1=David}}</ref> * [[Resource monotonicity]] ...

...of a resource is Pareto efficient if there is no other allocation of that resource that makes no one worse off while making some agents strictly better off.<r ...their types? Another issue is incentive.<ref name="implementation"/> If a resource allocation rule is efficient but there is no incentive to abide by that rul ...

The '''Pooley-Tupy theorem''' is an economics theorem which measures the growth in knowledge resources over time at indiv ...v. ed., 3. printing and 1. paperback printing |series=Princeton paperbacks Economics |location=Princeton, NJ}}</ref><ref>{{Cite book |last=Hayek |first=F. A. |t ...

...] of an agent over a continuous resource, such as land. It occurs when the resource can be partitioned into a finite number of regions, and in each region, the ...ditor2-first=Qi|editor3-last=Ye|editor3-first=Yinyu|title=Web and Internet Economics|chapter-url=|series=Lecture Notes in Computer Science|volume=8877|language= ...

...th the same size. The term is used particularly in problems such as fair [[resource allocation]], [[fair cake-cutting]] and [[fair item allocation]]. ...l initial endowments.<ref name="v71">{{cite book | title=Lecture notes for Economics | author=Vind, K | year=1971 | location=Stanford University}}</ref><ref nam ...

{{Short description|Concept in economics}} ...ity function''', is used to express [[utility]] in terms of [[consumption (economics)|consumption]] or some other economic variable that a decision-maker is con ...

In [[economics]], especially in [[consumer theory]], a '''Leontief utility function''' is * <math>m</math> is the number of different [[good (economics)|goods]] in the economy. ...

...s to be allocated among people with different valuations over parts of the resource. The goal in egalitarian cake-cutting is to maximize the smallest value of ...rems|Dubins and Spanier proved]] that, with a continuous ''heterogeneous'' resource ("[[Fair cake-cutting|cake]]"), the set of allocations is compact.<ref name ...

...math>X_i</math>. Every agent <math>i</math> has a subjective [[preference (economics)|preference relation]] <math>\succeq_i</math> which is a [[total order]] ov ...cations: A New Concept of Economic Equity|journal=The Quarterly Journal of Economics|volume=92|issue=4|pages=671|year=1978|last1=Pazner|first1=Elisha A|last2=Sc ...

'''Resource monotonicity''' ('''RM'''; aka '''aggregate monotonicity''') is a principle === Single homogeneous resource, general utilities === ...

...ich the rate of change of each [[state variable]]—like position, speed, or resource level—is governed by a [[differential equation]]. This distinguishes them f ...1137/0324021 |issn=0363-0129}}</ref> Today, they also apply to fields like economics and engineering, analyzing competition over resources or the control of mov ...

* Each person has a weak [[preference (economics)|preference relation]] on subsets of items. ...l requires one person to cut the resource to two equal pieces. But, if the resource contains with indivisibilities, it may be impossible to make an exactly-equ ...

...<math>X_i</math>. Every agent <math>i</math> has a personal [[preference (economics)|preference relation]] <math>\succeq_i</math> over different possible share ...asked whether it is always possible to divide a ''cake'' (a heterogeneous resource) among ''n'' children with different tastes, such that no child envies anot ...

...ysical property|Elasticity (physics)|the economics measurement|Elasticity (economics)}} ...The dynamic adaptation of capacity, e.g., by altering the use of [[system resource|computing resources]], to meet a varying workload is called "elastic comput ...

...at year), by the world [[ecological footprint]] (humanity's [[consumption (economics)|consumption]] of Earth's natural resources for that year), and multiplying ...for the regenerative capacity of the planet's surface, such as [[renewable resource]]s, [[Carbon sequestration|CO₂ sequestration]], and urban space. ...

...ctric power quality|power quality]], voltage and frequency control, system economics and load dispatch.<ref>{{Cite book|last=Bevrani|first=Hassan|title=Robust P ...easurement system]] and orchestrates different resources by speaking to '''resource agents''' (RAs) that are usually collocated on the [[Power inverter|inverte ...

...h>E</math>'' (=Estate or Endowment). There are ''n'' people who claim this resource or parts of it; they are called ''claimants''. The amount claimed by each c ...x.doi.org/10.1016/0304-4068%2894%2900696-8|journal=Journal of Mathematical Economics|language=en|volume=24|issue=4|pages=319–329|doi=10.1016/0304-4068(94)00696- ...

...her the data is hard copy or computerized, the principal steps of computer resource estimation are: ...suit all the quantitative and qualitative information necessary to build a resource model. The creation of a geological model may include the following steps: ...

...to cut arbitrarily small pieces of it without destroying their value. The resource has to be divided among several partners who have different preferences ove ...Piecewise Constant and Piecewise Uniform Valuations|title=Web and Internet Economics|volume=8877|series=Lecture Notes in Computer Science|language=en|publisher= ...

'''Truthful resource allocation''' is the problem of allocating resources among agents with diff ...near'', so that if the agent receives a fraction ''r_j'' of each resource ''j'', then his/her value is the sum of ''r_j'' &lowast;''v<sub>j ...