This is a video about (170705) 주간 아이돌 310회 블랙핑크 (BLACKPINK) - Weekly idol ep 310 BLACKPINK

主要支援：已於2009年4月8日到期 延伸支援：已於2014年4月8日到期（仅限Service Pack 3 x86（SP3 x86）及Service Pack 2 x64（SP2 x64）） 新增的功能 移除的功能 版本 开发历史 批評 主题 Windows XP（开发代号：）是微软公司推出供个人电脑使用的操作系统，包括商用及家用的桌上型电脑、笔记本电脑、媒体中心（英语：）和平板电脑等。其RTM版于2001年8月24日发布；零售版于2001年10月25日上市。其名字「」的意思是英文中的「体验」（）。Windows ..

Nov 13, 2019- Explore dobdan222's board "교복", followed by 405 people on Pinterest. See more ideas about Asian girl, Korean student and Fashion.

Nov 10, 2019- Explore cutebear36088's board "여고딩", followed by 557 people on Pinterest. See more ideas about School looks, Fashion and School uniform.

Republika obeh narodov Habsburška monarhija Bavarska Saška Franconia Švabska Zaporoški kozaki Velika vojvodina Toskana Drugo obleganje Dunaja je potekalo leta 1683; pričelo se je 14. julija 1683, ko je Osmanski imperij obkolil Dunaj in končalo 11. septembra ..

Robert Henry Goldsborough (January 4, 1779 – October 5, 1836) was an American politician from Talbot County, Maryland. Goldsborough was born at "Myrtle Grove" near Easton, Maryland. He was educated by private tutors and graduated from St. John's College in ..

Anabolic steroids, also known more properly as anabolic–androgenic steroids (AAS), are steroidal androgens that include natural androgens like testosterone as well as synthetic androgens that are structurally related and have similar effects to testosterone. ..

In game theory, the **core** is the set of feasible allocations that cannot be improved upon by a subset (a *coalition*) of the economy's agents. A coalition is said to *improve upon* or *block* a feasible allocation if the members of that coalition are better off under another feasible allocation that is identical to the first except that every member of the coalition has a different consumption bundle that is part of an aggregate consumption bundle that can be constructed from publicly available technology and the initial endowments of each consumer in the coalition.

An allocation is said to have the *core property* if there is no coalition that can improve upon it. The core is the set of all feasible allocations with the core property.

The idea of the core already appeared in the writings of Edgeworth (1881) , at the time referred to as the *contract curve*.^{[1]} Even if von Neumann and Morgenstern considered it an interesting concept, they only worked with zero-sum games where the core is always empty. The modern definition of the core is due to Gillies.^{[2]}

Consider a transferable utility cooperative game where denotes the set of players and is the characteristic function. An imputation is dominated by another imputation if there exists a coalition , such that each player in prefers , formally: for all and there exists such that and can enforce (by threatening to leave the grand coalition to form ), formally: . An imputation is *dominated* if there exists an imputation dominating it.

The **core** is the set of imputations that are not dominated.^{[3]}

- Another definition, equivalent to the one above, states that the core is a set of payoff allocations satisfying

- Efficiency: ,
- Coalitional rationality: for all subsets (coalitions) .

- The core is always well-defined, but can be empty.
- The core is a set which satisfies a system of weak linear inequalities. Hence the core is closed and convex.
- The Bondareva–Shapley theorem: the core of a game is nonempty if and only if the game is "balanced".
^{[4]}^{[5]} - Every Walrasian equilibrium has the core property, but not
*vice versa*. The Edgeworth conjecture states that, given additional assumptions, the limit of the core as the number of consumers goes to infinity is a set of Walrasian equilibria. - Let there be
*n*players, where*n*is odd. A game that proposes to divide one unit of a good among a coalition having at least (*n*+1)/2 members has an empty core. That is, no stable coalition exists.

Consider a group of *n* miners, who have discovered large bars of gold. If two miners can carry one piece of gold, then the payoff of a coalition *S* is

If there are more than two miners and there is an even number of miners, then the core consists of the single payoff where each miner gets 1/2. If there is an odd number of miners, then the core is empty.

Mr A and Mr B are knitting gloves. The gloves are one-size-fits-all, and two gloves make a pair that they sell for €5. They have each made three gloves. How to share the proceeds from the sale? The problem can be described by a characteristic function form game with the following characteristic function: Each man has three gloves, that is one pair with a market value of €5. Together, they have 6 gloves or 3 pair, having a market value of €15. Since the singleton coalitions (consisting of a single man) are the only non-trivial coalitions of the game all possible distributions of this sum belong to the core, provided both men get at least €5, the amount they can achieve on their own. For instance (7.5, 7.5) belongs to the core, but so does (5, 10) or (9, 6).

For the moment ignore shoe sizes: a pair consists of a left and a right shoe, which can then be sold for €10. Consider a game with 2001 players: 1000 of them have 1 left shoe, 1001 have 1 right shoe. The core of this game is somewhat surprising: it consists of a single imputation that gives 10 to those having a (scarce) left shoe, and 0 to those owning an (oversupplied) right shoe. No coalition can block this outcome, because no left shoe owner will accept less than 10, and any imputation that pays a positive amount to any right shoe owner must pay less than 10000 in total to the other players, who can get 10000 on their own. So, there is just one imputation in the core.

The message remains the same, even if we increase the numbers as long as left shoes are scarcer. The core has been criticized for being so extremely sensitive to oversupply of one type of player.

The Walrasian equilibria of an exchange economy in a general equilibrium model, will lie in the core of the cooperation game between the agents. Graphically, and in a two-agent economy (see Edgeworth Box), the core is the set of points on the contract curve (the set of Pareto optimal allocations) lying between each of the agents' indifference curves defined at the initial endowments.

When alternatives are allocations (list of consumption bundles), it is natural to assume that any nonempty subsets of individuals can block a given allocation.
When alternatives are public (such as the amount of a certain public good), however, it is more appropriate to assume that only the coalitions that are large enough can block a given alternative. The collection of such large ("winning") coalitions is called a *simple game*.
The *core of a simple game with respect to a profile of preferences* is based on the idea that only winning coalitions can reject an alternative in favor of another alternative . A necessary and sufficient condition for the core to be nonempty for all profile of preferences, is provided in terms of the Nakamura number for the simple game.

- Welfare economics
- Pareto efficiency
- Knaster–Kuratowski–Mazurkiewicz–Shapley theorem - instrumental in proving the non-emptiness of the core.

- ↑ Kannai, Y. (1992). "The core and balancedness". In Aumann, Robert J.; Hart, Sergiu (eds.).
*Handbook of Game Theory with Economic Applications*.**I**. Amsterdam: Elsevier. pp. 355–395. ISBN 978-0-444-88098-7. - ↑ Gillies, D. B. (1959). "Solutions to general non-zero-sum games". In Tucker, A. W.; Luce, R. D. (eds.).
*Contributions to the Theory of Games IV*. Annals of Mathematics Studies.**40**. Princeton: Princeton University Press. pp. 47–85. - ↑ As noted by Shapley, L. S.; Shubik, M. (1969). "On Market Games".
*Journal of Economic Theory*.**1**(1): 9–25. doi:10.1016/0022-0531(69)90008-8. due to the contribution of Mr. E. Kohlberg - ↑ Bondareva, Olga N. (1963). "Some applications of linear programming methods to the theory of cooperative games (In Russian)".
*Problemy Kybernetiki*.**10**: 119–139. - ↑ Shapley, Lloyd S. (1967). "On balanced sets and cores".
*Naval Research Logistics Quarterly*.**14**(4): 453–460. doi:10.1002/nav.3800140404. hdl:10338.dmlcz/135729.

- Ichiishi, Tatsuro (1983). "Cooperative Behavior and Stability".
*Game Theory for Economic Analysis*. New York: Academic Press. pp. 77–117. ISBN 0-12-370180-5. - Osborne, Martin J.; Rubinstein, Ariel (1994).
*A Course in Game Theory*. The MIT Press. - Peleg, B (1992). "Axiomatizations of the Core". In Aumann, Robert J.; Hart, Sergiu (eds.).
*Handbook of Game Theory with Economic Applications*.**I**. Amsterdam: Elsevier. pp. 397–412. ISBN 978-0-444-88098-7. - Shoham, Yoav; Leyton-Brown, Kevin (2009).
*Multiagent Systems: Algorithmic, Game-Theoretic, and Logical Foundations*. New York: Cambridge University Press. ISBN 978-0-521-89943-7. - Telser, Lester G. (1994). "The Usefulness of Core Theory in Economics".
*Journal of Economic Perspectives*.**8**(2): 151–164. doi:10.1257/jep.8.2.151.

© 2019 raptorfind.com. Imprint, All rights reserved.