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1 Wars of Attrition - Meet the Berkeley-Haas Faculty
https://faculty.haas.berkeley.edu/rjmorgan/mba211/Wars%20of%20Attrition.ppt
Notice that our war of attrition model fits the assumptions of the Revenue Equivalence Theorem. That means things are just the same for the players (on ...
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2 The Generalized War of Attrition - JSTOR
https://www.jstor.org/stable/116984
facilitated by the Revenue Equivalence Theorem. (JEL D43, D44, L13, 030). This paper analyzes wars of attrition with many players. Examples of such wars are ...
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3 The Generalized War of Attrition
https://www.aeaweb.org/articles?id=10.1257/aer.89.1.175
The authors' results explain how long it takes to form a winning coalition in politics. Solving the model is facilitated by the revenue equivalence theorem.
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4 Wars of Attrition
https://web.stanford.edu/~jdlevin/Econ%20286/Wars%20of%20Attrition.pdf
One reason to be interested in the c = 0 case is that it will be revenue equivalent to a Vickrey auction where N + K bidders compete for N prizes. We're going ...
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5 The Generalized War of Attrition - Nuffield College
https://www.nuffield.ox.ac.uk/economics/papers/1998/w1/attrwebb.pdf
The Revenue. Equivalence Theorem tells us that these costs must be the same as the ex pected costs in a second price auction between these firms, namely the ex.
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6 The generalized war of attrition - ProQuest
https://search.proquest.com/openview/6af7a0bfd208f37b0baf327fc2ba89cb/1?pq-origsite=gscholar&cbl=42182
A war of attrition is modeled with N plus K firms competing for N prizes. In a natural oligopoly context, the K minus 1 lowest-value firms drop out ...
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7 Econ 805 – Advanced Micro Theory I Dan Quint Fall 2008 ...
https://www.ssc.wisc.edu/~dquint/econ805%202008/econ%20805%20lecture%2015.pdf
When we did independent private values and revenue equivalence, ... Bulow and Klemperer (“The Generalized War of Attrition”) give another example of a war.
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8 War of attrition with affiliated values - Norges Handelshøyskole
https://openaccess.nhh.no/nhh-xmlui/bitstream/handle/11250/2454721/DP%2016.pdf?sequence=1
revenue rankings between the war of attrition and other auction forms. ... auctions are payoff-equivalent, and therefore we shall use the.
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9 attrition - National Bureau of Economic Research
https://www.nber.org/system/files/working_papers/w5872/w5872.pdf
Thus in both cases many Democrats were fighting a war of attrition for ... 22 We can use the Revenue Equivalence Theorem because in both a one-stage war of.
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10 An Analysis of the War of Attrition and the All-Pay ... - EconWPA
https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/9409/9409002.pdf
distributed, the so-called “revenue equivalence principle” (see, for instance ... Thus, the war of attrition yields greater revenue than the ...
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11 Auction Introduction
https://www.kellogg.northwestern.edu/faculty/weber/decs-452/auction_introduction.htm
All-pay; War of Attrition (e.g., potlatch ceremonies); Multi-stage (e.g., preemptive right) ... The Revenue Equivalence Theorem.
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12 The Generalized War of Attrition - IDEAS/RePEc
https://ideas.repec.org/a/aea/aecrev/v89y1999i1p175-189.html
The authors' results explain how long it takes to form a winning coalition in politics. Solving the model is facilitated by the revenue equivalence theorem.
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13 Revenue Guarantee Equivalence†
https://cpb-us-w2.wpmucdn.com/campuspress.yale.edu/dist/3/352/files/2019/05/Revenue-Guarantee-Equivalence.pdf
The revenue equivalence theorem is a central result in auction theory that helps us ... 5 By war of attrition, we mean the sealed-bid mechanism defined by ...
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14 N-Player War of Attrition with Complete Information
https://nsd.pku.edu.cn/docs/20220324153059928345.pdf
This paper considers a standard war of attrition game in which N ... Solving the model is also facilitated by the Revenue Equivalence.
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15 Auction Theory- Revenue Equivalence Theorem | Michael Levet
https://michaellevet.wordpress.com/2015/07/06/auction-theory-revenue-equivalence-theorem/
The Revenue Equivalence Theorem is one of the most celebrated ... -player war of attrition game, where the players compete for a prize.
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16 Revenue Guarantee Equivalence - EliScholar
https://elischolar.library.yale.edu/cgi/viewcontent.cgi?article=1138&context=cowles-discussion-paper-series
In auction theory, the revenue equivalence theorem is a central result that ... auctions, all-pay auctions, and the war-of-attrition are all ...
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17 Contests rev 1998 - UCLA Economics
http://www.econ.ucla.edu/riley/tparadox.pdf
a "war of attrition" the greater is the gap between expected total ... We can then appeal directly to the revenue equivalence theorem which tells.
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18 This must be equal her payment in the 7 war of attrition If the player ...
https://www.coursehero.com/file/p7us2q0v/In-this-case-the-c-is-irrelevant-because-any-drop-out-will-end-the-game/
So we're in revenueequivalence world – the “3 for 2” war of attrition is revenue equivalent toa “3 for 2” Vickrey auction.In such an auction, ...
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19 Auction theory - Wikipedia
https://en.wikipedia.org/wiki/Auction_theory
Introduction · History · Auction types · The Auction Envelope Theorem · Optimal Auctions · Game-theoretic models · Asymmetric auctions · Revenue equivalence ...
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20 Wars of Attrition with Endogenously Determined Budget ...
http://www.uwosh.edu/faculty_staff/fosterj/upfrontWars.pdf
This paper models a war of attrition where participants first choose ... and Klemperer (1999) uses the Revenue Equivalence Theorem to un-.
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21 An Analysis of the War of Attrition and the All-Pay Auction
https://www.academia.edu/23254519/An_Analysis_of_the_War_of_Attrition_and_the_All_Pay_Auction
Under our conditions the war of attrition raises greater expected revenue than all ... the so-called “revenue equivalence principle” (see, for instance, ...
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22 Final exam
https://homepage.univie.ac.at/ana-begona.ania-martinez/vorlagen/Auctions_SS12_T2_Final.pdf
(Second-price) war of attrition: Highest bidder wins and both pay ... revenue equivalence theorem and the fact that the expected equilibrium payment of a ...
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23 experiments with wars of attrition and all-pay auctions - EconStor
https://www.econstor.eu/bitstream/10419/25707/1/560544278.PDF
generally the revenue in the war of attrition is larger or equal than ... With two bidders the two processes are strategically equivalent,.
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24 EconS 503 $ Microeconomic Theory II Homework #5 ...
https://felixmunozgarcia.files.wordpress.com/2017/08/econs503_homework_5_ans_all.pdf
[An application of the Revenue Equivalence Theorem] In 1991 US Vice$President ... [Public Good Game meets War of Attrition] Exercise 6.7 from Fudenberg and.
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25 Private versus complete information in auctions
http://www.tax.mpg.de/fileadmin/TAX/pdf1/morath_muenster_el_final.pdf
(ii); the all#pay auction has lower revenue under (ii). Keywords: Auctions, all#pay auctions, war of attrition, revenue equivalence ...
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26 Wars of attrition and all-pay auctions with stochastic competition
https://www.researchgate.net/publication/235685682_Wars_of_attrition_and_all-pay_auctions_with_stochastic_competition
the expected revenue comparisons among the war of attrition, the all-pay ... function.6Besides, φis equivalent to va(x, y)λ(y|x, a) defined by K-M when the ...
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27 How (Not) to Raise Money
https://www1feb-uva.nl/creed/pdffiles/OnderstalPaper.pdf
They show that when bidders' values are affiliated, revenue equivalence does not hold. ... the equilibrium of the war of attrition discussed in section 5, ...
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28 How (Not) to Raise Money
https://www.cs.princeton.edu/courses/archive/spr04/cos444/papers/GoereeHowNotTo1.pdf
the fund-raising properties of the dynamic n-player \war of attrition. ... They show that when bidders' values are affiliated, revenue equivalence does not ...
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29 CS 15-892 Foundations of Electronic Marketplaces Homework 2
https://www.cs.cmu.edu/~sandholm/cs15-892F15/homework2.pdf
two-bidder war of attrition in which the bidder with the highest bid wins the ... of the following proof of the revenue equivalence theorem.
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30 Revenue Guarantee Equivalence
https://cramton.umd.edu/market-design-papers/bergemann-brooks-morris-revenue-guarantee-equivalence.pdf
The first-price auction, second-price auc- tion, all-pay auction, and the war-of-attrition5 are all examples of standard auctions. Our first main result is a ...
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31 Solved In a “war of attrition” two bidders with val- uations | Chegg.com
https://www.chegg.com/homework-help/questions-and-answers/war-attrition-two-bidders-val-uations-drawn-independently-uniform-distribution-ranging-0-1-q55038933
Answer to Solved In a “war of attrition” two bidders with val- uations. ... (Hint: Use the Revenue Equivalence Theorem.] ...
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32 Large All%Pay Auctions with IPV Bidders
http://hse-econ.fi/murto/LargeAPA.pdf
all%pay auction (the war of attrition), the highest bid amounts to about 35.5 ... In light of the revenue equivalence theorem,.
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33 War of Attrition: Evidence from a Laboratory Experiment on ...
https://www.chapman.edu/ESI/wp/WarofAttrition.pdf
Keywords: Market exit, war of attrition, timing games, ... compete in a market in continuous time, earning duopoly revenues RD while they do ...
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34 Why Every Economist Should Learn Some Auction Theory*
https://www.degruyter.com/document/doi/10.1515/9780691186290-004/pdf
Auction theory's most celebrated theorem, the revenue equivalence theorem ... Consider a war of attrition in which N players compete for a prize. For.
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35 A war of attrition with endogenous effort levels - Gale
https://go.gale.com/ps/i.do?id=GALE%7CA308004267&sid=googleScholar&v=2.1&it=r&linkaccess=abs&issn=09382259&p=AONE&sw=w
Indeed, the war of attrition is strategically equivalent to a static game, the second-price all-pay auction. Yet it is difficult to think of a single ...
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36 Lecture 44: All Pay Format of Auctions- Detailed Analysis
https://www.youtube.com/watch?v=rlgrA-SnOvA
Aditya Jagannatham
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37 Essays in Pro-social Behavior
https://scholarworks.uark.edu/cgi/viewcontent.cgi?article=3767&context=etd
2.5 Wars of Attrition with Unrecoverable Upfront Investments for Charity . ... The loss of revenue equivalence is due to the assumptions made regarding.
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38 Lecture 9 Game Plan
https://ocw.mit.edu/courses/15-040-game-theory-for-managers-spring-2004/eda0871f3b42a6c50b5d4a187dd57663_lec9.pdf
Revenue Equivalence Theorem. ▫ How to bid? ▫ Winner's Curse ... some bidder jumps in. 3. War of Attrition. War continues until only one bidder remains.
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39 An introduction to Auctions: Single Item Auctions (2)
https://www.cs.upc.edu/~mjserna/docencia/agt-miri/slides/AGT9-sitem-auctions.pdf
Revenue equivalence. All-pay auctions ... Revenue equivalence. All-pay auctions. Optimal auctions. AGT-MIRI. Single item auctions ... War of attrition.
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40 Private Values | An Introduction to Auction Theory
https://academic.oup.com/book/25449/chapter/192627330
Theorem 1 (revenue equivalence) With private independent values, the four auction formats ... (This auction format is referred to as the war of attrition.).
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41 Wars of Attrition. Examples Price wars fought to drive out new ...
https://slideplayer.com/slide/4411983/
5 Modeling Wars of Attrition Two competing players (1 and 2) If player 1 wins, it earns a prize equal to v 1 If player 2 wins, it receives a prize equal to v 2 ...
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42 jena economic research papers
http://www2.wiwi.uni-jena.de/Papers/jerp2008/wp_2008_023.pdf
generally the revenue in the war of attrition is larger or equal than ... With two bidders the two processes are strategically equivalent,.
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43 A War of Attrition wtih Endogenous Effort Levels - LSE
https://personal.lse.ac.uk/nava/Materials/RG/W4.pdf
Classic war of attrition (binary action) does not allow for signalling. Strategic equivalence to all-pay auction. Bargaining literature allows for ...
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44 A war of attrition with endogenous effort levels - HEC Montréal
http://neumann.hec.ca/pages/nicolas.sahuguet/warofattrition.pdf
Indeed, the war of attrition is strategically equivalent to a static game, the second%price all%pay ... The revenue in auctions where.
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45 SINGLE OBJECT AUCTIONS WITH INTERDEPENDENT ...
http://www.ekof.bg.ac.rs/wp-content/uploads/2014/06/188-2-1.pdf
war of attrition in which the bidder with the highest bid gets the object but he ... equivalence fails and the English auction gives higher expected revenue ...
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46 Auction Theory: A Guide to the Literature
http://www2.econ.iastate.edu/tesfatsi/AuctionTheoryGuideToLit.Klemperer.pdf
the basic analysis of optimal auctions, the revenue equivalence theorem, ... bidders, jump bidding, the war of attrition, and competing auctioneers.
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47 1 Introduction 2 When does Revenue Equivalence Fail?
http://www.comlabgames.com/strategicplay/20_chapter/20_Violating_Equivalence_November_06.pdf
The revenue equivalence theorem implies that in private value auctions, the bidders and the auctioneer are indifferent between a wide range of auctions if they ...
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48 Resource inequality in the war of attrition | SpringerLink
https://link.springer.com/article/10.1007/s00182-022-00809-0
To see how budget constraints may affect the equilibrium in wars of attrition, let us briefly discuss the degenerate case in which players' ...
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49 Asymmetric All-Pay Auctions with Incomplete Information
https://kylewoodward.com/blog-data/pdfs/references/amann+leininger-games-and-economic-behavior-1996A.pdf
the well-known multiplicity of equilibria in the “war of attrition” ... the “revenue equivalence theorem” (Myerson, 1981) that the two auctions are.
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50 Game Theory - University of Warsaw
http://informatorects.uw.edu.pl/en/courses/view?prz_kod=2400-M2IiETG
... and income maximization; revenue equivalence theorem. Negotiation theory: Rubinstein's model; negotiations with incomplete information; war of attrition ...
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51 experiments with wars of attrition and all-pay auctions
https://www.kirchkamp.de/pdf/ad12.pdf
Keywords: War of attrition, dynamic bidding, all-pay auction, stabilisation, ... submit a bid (this bid is equivalent to the amount of time ...
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52 Invader Strategies in the War of Attrition with Private Information
http://repec.rwi-essen.de/files/REP_13_405.pdf
Keywords: Continuous strategies; evolutionary stability; war of attrition; ... the revenue equivalence theorem in understanding the differences of auction.
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53 Advanced Game Theory | Mysite - Selcuk Ozyurt
https://www.selcukozyurt.com/advancedgametheory
War of Attrition Game and its Solution in Pure Strategies ... Strategic and Revenue Equivalence between First, Second and English Auctions.
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54 MBA Game Theory for Strategic Advantage - Gonzalo Cisternas
https://gonzalo-cisternas.org/mba-game-theory-for-strategic-advantage/
Class 10: Wars of Attrition ... Equilibria in first-price and second-price auctions · Revenue equivalence · Reserve prices · Optimal Myerson auctions ...
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55 Auction theory - Wikiwand
https://www.wikiwand.com/en/Auction_theory
Sellers use auction theory to raise higher revenues while allowing buyers to ... (such as the "War of Attrition") the allocation is "participant efficient", ...
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56 [PDF] DISCRIMINATION IN A MODEL OF CONTESTS WITH ... - OA.mg
https://oa.mg/work/10.1111/iere.12179
The designer's revenue depends on the quality of the output, and she offers a reward to the contestant achieving the highest quality.
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57 Micro hw - Solutions to Exercises 1 1.(i) See Appendix 1. (ii) It ...
https://www.studocu.com/en-us/document/webster-university/intermediate-microeconomics/21-solutions-micro-hw/6403108
revenue equivalence, this is her (unconditional) expected payment in the ... since in a case like this (or in many wars of attrition, lobbying games, etc.) ...
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58 Putting Auction Theory to Work - Page viii - Google Books Result
https://books.google.com/books?id=AkeHTU7XW4kC&pg=PR8&lpg=PR8&dq=war+of+attrition+revenue+equivalence&source=bl&ots=ea1Rxm-q6Q&sig=ACfU3U3teYNq2_jprrQYjvbgLOMG8e1-Dg&hl=en&sa=X&ved=2ahUKEwi27JiVqLr7AhUMkokEHd_NAaYQ6AF6BQirAhAD
... War of Attrition Auction 4.2.4 The All - Pay Auction 4.3 Revenue Comparisons in the Benchmark Model 4.3.1 Payoff Equivalence without Revenue Equivalence ...
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59 Revenue Comparisons for Auctions when ... - David K. Levine
http://www.dklevine.com/naj/cache/784828000000000012.pdf
application extends existing revenue equivalence results. ... as well as all-pay auctions and wars of attrition, among others.
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60 A Brief Survey of the Theory of Auction - Rittwik Chatterjee, 2013
https://journals.sagepub.com/doi/abs/10.1177/2277978713503608
... revenue equivalence theorem (perhaps the most cited result in auction theory, ... An analysis of the war of attrition and the all-pay auction.
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61 Pure strategy equilibria of multidimensional and Non–monotonic ...
http://bibliotecadigital.fgv.br/dspace/bitstream/handle/10438/1010/1745.pdf?sequence=1
Is the Revenue Equivalence Theorem still valid for β < 0? ... search) are well-modeled as all-pay auctions or war of attrition. We prove that the existence.
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62 Breaking-Up Should Not be Hard to Do! Designing Contracts ...
http://people.tamu.edu/~alexbrown/papers/breaking_up.pdf
their theoretical equivalence, may not generalize to dynamic war of attrition environments. A final study related to the war of attrition is ...
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63 13 Auctions - Eric Rasmusen's
https://www.rasmusen.org/GI/chapters/chap13_auctions.pdf
the Revenue Equivalence Theorem and showing how it becomes invalid if bidders are risk averse. ... Chapter 3's War of Attrition is another.
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64 War with China: Thinking Through the Unthinkable
https://www.rand.org/content/dam/rand/pubs/research_reports/RR1100/RR1140/RAND_RR1140.pdf
Economic costs include the contraction of trade, consumption, and revenue from investments abroad. (The disruption of energy supplies is captured in the effects ...
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65 The war of attrition is taking a toll on Ukraine – and Russia too
https://www.nzz.ch/english/the-war-of-attrition-is-taking-a-toll-on-ukraine-and-russia-too-ld.1689193
› english › the-war-of-attrition-is-taki...
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66 The War of Attrition - The Dartmouth Review
https://dartreview.com/the-war-of-attrition/
Just because the government isn't seeing the corresponding revenue doesn't mean that a burden equivalent to a 35% tax rate is absent; rather, it proves the ...
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67 In platinum's war of attrition, capital has labour out-gunned
https://news.yahoo.com/platinums-war-attrition-capital-labour-gunned-112200021.html
In platinum's war of attrition, capital has labour out-gunned ... they have lost close to 15 billion rand ($1.4 billion) to date in revenue and counting.
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68 Table of Contents: Games and information : - Search Home
https://lib-cat.trin.cam.ac.uk/Record/f663b6e3-8cd4-4eec-8694-429b53647643/TOC
Nash Equilibrium: Boxed Pigs, the Battle of the Sexes, ... Existence of Equilibrium; Notes; Problems; Classroom Game: The War of Attrition (polished); 4.
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69 Auction Theory II
https://www.cs.ubc.ca/~kevinlb/teaching/cs532l%20-%202007-8/lectures/lect19.pdf
Revenue Equivalence. Lecture Overview. 1 Recap. 2 First-Price Auctions. 3 Revenue Equivalence. Auction Theory II. Lecture 19, Slide 2 ...
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70 Revenue comparisons for auctions when ... - Yeon-Koo Che
https://emu-perch-bjgm.squarespace.com/s/revenueTE.pdf
The well-known revenue-equivalence results concern risk-neutral bidders. Yeon-Koo Che: yc2271@columbia.edu ... auctions and wars of attrition, among others.
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71 JEREMY HUNT: UK health service NHS nearing collapse ...
https://economictimes.indiatimes.com/news/international/uk/uk-health-service-nhs-nearing-collapse-heres-what-chancellor-jeremy-hunt-warns/articleshow/95491543.cms
Look who joined the war for India's IT talent. ... On TimeSalary Hikes For Job Switches To Normalise As Companies See Slowdown In Attrition.
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72 Use corrections in IT sector as buying opportunities, say experts
https://www.business-standard.com/article/pf/use-corrections-in-it-sector-as-buying-opportunities-say-experts-122111101203_1.html
However, rising wages and high attrition rates are affecting them ... and are happy with index-equivalent return, you may invest in them.
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73 Written Exam Economics Winter 2019-20 Auctions
https://web.econ.ku.dk/polit/studerende/eksamen/opgrv/filer/rv%20Auctions%20theory%20and%20practice%20januar%202020.pdf
equivalent second-price auction – because we know that the revenue equivalence theorem applies. (so the calculation for a second-price auction must yield ...
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74 AUCTION THEORY
https://www.gametheory.online/projects/documents/1521536429.pdf
Does a specific type of auction yield greater revenue? ... Risk neutrality is necessary for revenue equivalence. Risk-averse agents ... Battle of the sexes:.
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75 An Analysis of the War of Attrition and the All-Pay Auction | Vijay ...
https://ur.booksc.me/book/11968835/3bc4de
An Analysis of the War of Attrition and the All-Pay Auction | Vijay Krishna; John Morgan | download | BookSC. Download books for free. Find books.
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76 Auction Theory Class 2 Revenue equivalence 1
https://present5.com/auction-theory-class-2-revenue-equivalence-1/
› auction-theory-class-2-revenue-e...
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77 Auctions
https://www.eco.uc3m.es/docencia/economiainformacion/notes/auctions.pdf
>Roman Empire: sale of slaves, war booty, debtorshproperty, ... the whole ... This revenue equivalence extends to any standard auction.
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78 Auction Theory - Page 34 - Google Books Result
https://books.google.com/books?id=qW1128ktG1gC&pg=PA34&lpg=PA34&dq=war+of+attrition+revenue+equivalence&source=bl&ots=SV6mcV3JHh&sig=ACfU3U1mIKsARpii4n34Rp19pMZRpETm9Q&hl=en&sa=X&ved=2ahUKEwi27JiVqLr7AhUMkokEHd_NAaYQ6AF6BQipAhAD
The revenue equivalence principle implies that for all x, mI(x)=mII(x), ... (War of attrition) Consider a two-bidderwar of attritionin which the bidder with ...
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79 Revenue equivalence theorem - Toronto: Economics
https://www.economics.utoronto.ca/damiano/ps426/RET-Levin-Notes.pdf
› RET-Levin-Notes
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80 Revenue equivalence - Department of Mathematics
http://pi.math.cornell.edu/~mec/Winter2009/Spulido/Auctions/revenue.html
The version of the Revenue Equivalence Theorem that we present in this lesson was first proved by Vickrey in 1961. This result was generalized 20 years ...
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81 Honor, Symbols, and War - Page 172 - Google Books Result
https://books.google.com/books?id=igKUncDuW5kC&pg=PA172&lpg=PA172&dq=war+of+attrition+revenue+equivalence&source=bl&ots=c_uvZEVyv2&sig=ACfU3U2WzbLseGa4doIBSLidxWi5q4969Q&hl=en&sa=X&ved=2ahUKEwi27JiVqLr7AhUMkokEHd_NAaYQ6AF6BQinAhAD
They saw the revenue - equivalence theorem as an impediment to taking in ... and Krishna and Morgan ( 1994 ) treat the war of attrition and the size game .
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82 Understanding Auctions - Page 30 - Google Books Result
https://books.google.com/books?id=l_yJBAAAQBAJ&pg=PA30&lpg=PA30&dq=war+of+attrition+revenue+equivalence&source=bl&ots=4zb8NaowZ4&sig=ACfU3U21F299sAcmoq1JZMiNyuZ8dbRqSg&hl=en&sa=X&ved=2ahUKEwi27JiVqLr7AhUMkokEHd_NAaYQ6AF6BQilAhAD
3.6.1 War of Attrition A special type of all-pay auction is the war of attrition.3 ... According to the Revenue Equivalence Theorem, if bidders have private ...
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83 Auctions: Theory and Practice - Page 17 - Google Books Result
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See Riley (1989a) for revenue equivalence results for discrete distributions. ... The war of attrition is also a kind of all-pay auction (see section ...
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84 The Times History of the War
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For in war injury inflicted upon the enemy counterbalances equivalent damage suffered by oneself , at any rate in a war of attrition between two great ...
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85 The Statist: A Journal of Practical Finance and Trade
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Year to Tons Sort -- Revenue - Expenses -Profit- Price. LAW DEBENture corpoRATION , Limited . ... Remember this is a war of attrition .
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86 The Spectator - Volume 117 - Page 579 - Google Books Result
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He may even say or think , ' I wonder why they little doubt that this can only be done when the war of attrition did that ' ; but as long as it was a matter ...
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