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...roduced by [[Lloyd Shapley|Shapley]]<ref>{{Cite journal|last=Shapley|first=Lloyd S.|date=1962|title=Complements and substitutes in the opttmal assignment pr ...

...the [[Shapley value]] to the class of irrigation games and showed that the Shapley value of an irrigation game is always in the [[Core (economics)|core]] of t {{wikicite |id=MJPMPRAR |reference=Márkus J, Pintér M, Radványi A (2011). The Shapley value for airport and ...

...concept]] in [[cooperative game theory]]. It is a generalization of the [[Shapley value]] to communication games on networks. The solution concept and the cl === Solution concepts and the Shapley value === ...

...used for the [[National Resident Matching Program]] since the early 1950s. Shapley and [[Alvin E. Roth]] (who pointed out its prior application) won the 2012 ...ually prefer each other to their assigned match. In each round of the Gale–Shapley algorithm, unmatched participants of one type propose a match to the next p ...

...ter 18 in {{cite book|title=The Shapley Value: Essays in Honor of Lloyd S. Shapley|isbn=9781107714892|year=1988}}</ref> it is common to assume that each agent * The [[Shapley value]], e.g., for two agents, the payments when both agents are served are ...

...Mathematical Economics|volume=1|pages=23–37|year=1974|last1=Shapley|first1=Lloyd|last2=Scarf|first2=Herbert|s2cid=154744803}}</ref>{{rp|30–31}} ...

...>[[Stochastic games]]<br/>Repeated games with incomplete information<br/>[[Shapley value]] ...to the solution concepts called the [[Core (game theory)|core]] and the [[Shapley value]]. ...

...ching emerged in the form of theoretical efforts by mathematicians such as Shapley and Gale. It matured with the efforts of economists such as Roth, and now m ...ey algorithm|deferred acceptance algorithm]] of [[David Gale]] and [[Lloyd Shapley]] finds a stable matching in their setting; moreover, the set of stable mat ...

...ts and two points from the convex hulls of the remaining summand-sets.|The Shapley–Folkman lemma is illustrated by the [[Minkowski addition]] of four sets. Th ...cs)|set]]s in a [[vector space]]. It is named after mathematicians [[Lloyd Shapley]] and [[Jon Folkman]], but was first published by the economist [[Ross Star ...

...hat present themselves from time to time.<ref name="Shapley 1974">Shapley, Lloyd and Martin Shubik. (1974). "Game theory in economics". RAND Report R-904/4< ...an abuse of semantics in the literature.<ref name="Shapley 1974">Shapley, Lloyd and Martin Shubik. (1974). "Game theory in economics". RAND Report R-904/4< ...

...ome threshold. Grofman and Shapley<ref>{{Cite journal|last1=Shapley|first1=Lloyd|last2=Grofman|first2=Bernard|date=1984-01-01|title=Optimizing group judgmen ...

...ame=":9">{{Cite journal |last1=Monderer |first1=Dov |last2=Shapley |first2=Lloyd S. |date=1996-05-01 |title=Potential Games |url=https://www.sciencedirect.c ...

...ame="Samuelson"/><ref>{{cite journal|last=Metzler|first=Lloyd |author-link=Lloyd Metzler |year=1948|title=Review of ''Foundations of Economic Analysis''|jou ..., research on the [[Shapley value|fair prices]] in cooperative games and [[Shapley–Shubik power index|fair values]] for [[voting theory|voting game]]s led to ...

...irst4=Patrick|last4=Rebentrost|first5=Nathan|last5=Wiebe|first6=Seth|last6=Lloyd| issue=7671 | pmid=28905917 | bibcode=2017Natur.549..195B | s2cid=64536201 ...Krysta Svore |year=2014}}</ref><ref>{{cite arXiv |eprint=1307.0411 |last1=Lloyd |first1=Seth |title=Quantum algorithms for supervised and unsupervised mach ...