## Citations for "Two New Proofs of Afriat's Theorem"

### by Herbert E. Scarf & Ana Fostel & Michael J. Todd

- Laurens CHERCHYE & Thomas DEMUYNCK & Bram DE ROCK, 2012.
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**Revealed preference analysis for convex rationalizations on nonlinear budget sets**," Center for Economic Studies - Discussion papers ces12.15, Katholieke Universiteit Leuven, Centrum voor Economische Studiën.

- Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2014.
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**Revealed preference analysis for convex rationalizations on nonlinear budget sets**," Journal of Economic Theory, Elsevier, vol. 152(C), pages 224-236.

- Laurens Cherchye & Thomas Demuynck & Bram De Rock, 2012.
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**Revealed Preference Analysis for Convex Rationalizations on Nonlinear Budget Sets**," Working Papers ECARES ECARES 2012-044, ULB -- Universite Libre de Bruxelles.

- Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2014.
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- Alfred Galichon & John Quah, 2013.
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**Symposium on revealed preference analysis**," Economic Theory, Springer, vol. 54(3), pages 419-423, November. - Francoise Forges & Vincent Iehlé, 2014.
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**Afriat's theorem for indivisible goods**," Post-Print halshs-00870052, HAL.

- Forges, Françoise & Iehlé, Vincent, 2014.
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**Afriat’s theorem for indivisible goods**," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 1-6.

- Francoise Forges & Vincent Iehlé, 2013.
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**Afriat's Theorem for Indivisible Goods**," CESifo Working Paper Series 4498, CESifo Group Munich.

- Forges, Françoise & Iehlé, Vincent, 2014.
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- John Geanakoplos, 2013.
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**Afriat from MaxMin**," Cowles Foundation Discussion Papers 1904, Cowles Foundation for Research in Economics, Yale University. - Francoise Forges & Vincent Iehlé, 2013.
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**Essential Data, Budget Sets and Rationalization**," Post-Print halshs-00727806, HAL.

- Françoise Forges & Vincent Iehlé, 2013.
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**Essential data, budget sets and rationalization**," Economic Theory, Springer, vol. 54(3), pages 449-461, November.

- Forges, Françoise & Iehlé, Vincent, 2012.
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**Essential Data, Budget Sets and Rationalization**," MPRA Paper 36519, University Library of Munich, Germany.

- Françoise Forges & Vincent Iehlé, 2013.
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- Andrés Carvajal & Rahul Deb & James Fenske & John Quah, 2014.
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**A nonparametric analysis of multi-product oligopolies**," Economic Theory, Springer, vol. 57(2), pages 253-277, October. - Halevy, Yoram & Persitz, Dotan & Zrill, Lanny, 2015.
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**A comment on Non-Parametric Bounds for Non-Convex Preferences**," Microeconomics.ca working papers yoram_halevy-2015-23, Vancouver School of Economics, revised 10 Apr 2016. - Apartsin, Yevgenia & Kannai, Yakar, 2006.
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**Demand properties of concavifiable preferences**," Journal of Mathematical Economics, Elsevier, vol. 43(1), pages 36-55, December. - Kohei Shiozawa, 2015.
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**Revealed Preference Test and Shortest Path Problem; Graph Theoretic Structure of the Rationalizability Test**," Discussion Papers in Economics and Business 15-17-Rev., Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP), revised Jul 2015. - Satoru Fujishige & Zaifu Yang, 2012.
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**On Revealed Preference and Indivisibilities**," Discussion Papers 12/02, Department of Economics, University of York. - Matthew Polisson, 2011.
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**Goods Versus Characteristics: Dimension Reduction and Revealed Preference**," Discussion Papers in Economics 11/44, Department of Economics, University of Leicester, revised Dec 2011.

- Matthew Polisson, 2012.
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**Goods versus characteristics: dimension reduction and revealed preference**," IFS Working Papers W12/02, Institute for Fiscal Studies.

- Matthew Polisson, 2012.
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- Laurens Cherchye & Bram De Rock & Vincenzo Platino, 2013.
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**Private versus public consumption within groups: testing the nature of goods from aggregate data**," Economic Theory, Springer, vol. 54(3), pages 485-500, November.

- Laurens Cherchye & Bram De Rock & Vincenzo Platino, 2010.
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**Private versus public consumption within groups : testing the nature of goods from aggregate data**," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00543999, HAL. - Laurens Cherchye & Bram De Rock & Vincenzo Platino, 2010.
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**Private versus public consumption within groups: testing the nature of goods from aggregate data**," Documents de travail du Centre d'Economie de la Sorbonne 10090, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne. - Laurens Cherchye & Bram De Rock & Vincenzo Platino, 2013.
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**Private versus public consumption within groups: testing the nature of goods from aggregate data**," ULB Institutional Repository 2013/131703, ULB -- Universite Libre de Bruxelles.

- Laurens Cherchye & Bram De Rock & Vincenzo Platino, 2010.
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- Kohei Shiozawa, 2015.
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**Revealed Preference Test and Shortest Path Problem; Graph Theoretic Structure of the Rationalizability Test**," Discussion Papers in Economics and Business 15-17, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP). - Francoise Forges & Enrico Minelli, 2006.
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**Afriat's Theorem for General Budget Sets**," Working Papers ubs0609, University of Brescia, Department of Economics.

- Forges, Françoise & Minelli, Enrico, 2009.
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**Afriat's theorem for general budget sets**," Journal of Economic Theory, Elsevier, vol. 144(1), pages 135-145, January.

- Francoise Forges & Enrico Minelli, 2006.
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**Afriat’s Theorem for General Budget Sets**," CESifo Working Paper Series 1703, CESifo Group Munich.

- Forges, Françoise & Minelli, Enrico, 2009.
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- Anat Bracha, 2004.
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**Consistency and Refutability of Affective Choice**," Yale School of Management Working Papers amz2639, Yale School of Management. - repec:dau:papers:123456789/9256 is not listed on IDEAS
- John Quah & Hiroki Nishimura & Efe A. Ok, 2013.
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**A Unified Approach to Revealed Preference Theory: The Case of Rational Choice**," Economics Series Working Papers 686, University of Oxford, Department of Economics.

- Hiroki Nishimura & Efe A. Ok & John K.-H. Quah, 2014.
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**A Unified Approach to Revealed Preference Theory: The Case of Rational Choice**," Working Papers 201418, University of California at Riverside, Department of Economics.

- Hiroki Nishimura & Efe A. Ok & John K.-H. Quah, 2014.
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- John Geanakoplos, 2013.
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**Afriat from MaxMin**," Levine's Working Paper Archive 786969000000000746, David K. Levine. - John Quah, 2012.
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**A revealed preference test for weakly separable preferences**," Economics Series Working Papers 601, University of Oxford, Department of Economics. - Christopher Chambers & Federico Echenique, 2009.
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**Profit maximization and supermodular technology**," Economic Theory, Springer, vol. 40(2), pages 173-183, August. - John Geanakoplos, 2013.
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**Afriat from MaxMin**," Economic Theory, Springer, vol. 54(3), pages 443-448, November. - Santiago Sanchez-Pages, 2012.
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**(Don't) Make My Vote Count**," ESE Discussion Papers 213, Edinburgh School of Economics, University of Edinburgh.

- Faravelli, Marco & Sanchez-Pages, Santiago, 2012.
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**(Don’t) Make My Vote Count**," SIRE Discussion Papers 2012-07, Scottish Institute for Research in Economics (SIRE).

- Faravelli, Marco & Sanchez-Pages, Santiago, 2012.
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- John Quah, 2014.
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**A test for weakly separable preferences**," Economics Series Working Papers 708, University of Oxford, Department of Economics. - Sam Cosaert & Thomas Demuynck, 2015.
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**Revealed preference theory for finite choice sets**," Economic Theory, Springer, vol. 59(1), pages 169-200, May.

- Sam COSAERT & Thomas DEMUYNCK, 2013.
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**Revealed preference theory for finite choice sets**," Center for Economic Studies - Discussion papers ces13.08, Katholieke Universiteit Leuven, Centrum voor Economische Studiën.

- Sam COSAERT & Thomas DEMUYNCK, 2013.
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- Teo Chung Piaw & Rakesh V. Vohra, 2003.
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**Afrait's Theorem and Negative Cycles**," Discussion Papers 1377, Northwestern University, Center for Mathematical Studies in Economics and Management Science. - Leeat Yariv, 2004.
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**Safety in Markets: An Impossibility Theorem for Dutch Books**," Theory workshop papers 658612000000000072, UCLA Department of Economics. - Matthew Polisson & John K.-H. Quah, 2013.
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**Revealed preference tests under risk and uncertainty**," Discussion Papers in Economics 13/24, Department of Economics, University of Leicester. - David Laibson & Leeat Yariv, 2007.
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**Safety in Markets: An Impossibility Theorem for Dutch Books**," Levine's Bibliography 122247000000001746, UCLA Department of Economics.

- Leeat Yariv & David Laibson, 2004.
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**Safety in Markets: An Impossibility Theorem for Dutch Books**," 2004 Meeting Papers 867, Society for Economic Dynamics.

- Leeat Yariv & David Laibson, 2004.
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- Federico Echenique & Alfred Galichon, 2014.
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**Ordinal and cardinal solution concepts for two-sided matching**," Sciences Po publications info:hdl:2441/5k6c74nfqf9, Sciences Po. - Ivar Ekeland & Alfred Galichon, 2013.
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**The housing problem and revealed preference theory: duality and an application**," Economic Theory, Springer, vol. 54(3), pages 425-441, November.

- Ivar Ekeland & Alfred Galichon, 2013.
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**The Housing Problem and Revealed Preference Theory: Duality and an application**," Sciences Po publications info:hdl:2441/5rkqqmvrn4t, Sciences Po. - Ivar Ekeland & Alfred Galichon, 2013.
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**The Housing Problem and Revealed Preference Theory: Duality and an application**," Post-Print hal-01059558, HAL.

- Ivar Ekeland & Alfred Galichon, 2013.
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- Jozsef Sakovics, 2012.
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**Revealed cardinal preference**," ESE Discussion Papers 212, Edinburgh School of Economics, University of Edinburgh.

- Sákovics, József, 2012.
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**Revealed cardinal preference**," SIRE Discussion Papers 2012-02, Scottish Institute for Research in Economics (SIRE).

- Sákovics, József, 2012.
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- Green, Jerry & Hojman, Daniel, 2007.
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**Choice, Rationality and Welfare Measurement**," Working Paper Series rwp07-054, Harvard University, John F. Kennedy School of Government. - D. Wade Hands, 2014.
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**Paul Samuelson and Revealed Preference Theory**," History of Political Economy, Duke University Press, vol. 46(1), pages 85-116, Spring. - Matthew Polisson & John Quah, 2012.
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**Revealed preference in a discrete consumption space**," IFS Working Papers W12/03, Institute for Fiscal Studies.

- Matthew Polisson & John K.-H. Quah, 2013.
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**Revealed Preference in a Discrete Consumption Space**," American Economic Journal: Microeconomics, American Economic Association, vol. 5(1), pages 28-34, February.

- Matthew Polisson & John Quah, 2012.
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**Revealed Preference in a Discrete Consumption Space**," Discussion Papers in Economics 12/02, Department of Economics, University of Leicester, revised Feb 2012.

- Matthew Polisson & John K.-H. Quah, 2013.
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- Per Hjertstrand & James Swofford, 2012.
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**Revealed preference tests for consistency with weakly separable indirect utility**," Theory and Decision, Springer, vol. 72(2), pages 245-256, February. - Lee, Chia-Yen & Johnson, Andrew L. & Moreno-Centeno, Erick & Kuosmanen, Timo, 2013.
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**A more efficient algorithm for Convex Nonparametric Least Squares**," European Journal of Operational Research, Elsevier, vol. 227(2), pages 391-400. - repec:hal:wpaper:halshs-00870052 is not listed on IDEAS
- Kolesnikov, Alexander V. & Kudryavtseva, Olga V. & Nagapetyan, Tigran, 2013.
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**Remarks on Afriat’s theorem and the Monge–Kantorovich problem**," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 501-505.