IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-05511714.html

Price and Choose

Author

Listed:
  • Federico Echenique

    (UC Berkeley - University of California [Berkeley] - UC - University of California)

  • Matías Núñez

    (CREST - Centre de Recherche en Économie et Statistique - ENSAI - Ecole Nationale de la Statistique et de l'Analyse de l'Information [Bruz] - Groupe ENSAE-ENSAI - Groupe des Écoles Nationales d'Économie et Statistique - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - ENSAE Paris - École Nationale de la Statistique et de l'Administration Économique - Groupe ENSAE-ENSAI - Groupe des Écoles Nationales d'Économie et Statistique - IP Paris - Institut Polytechnique de Paris - CNRS - Centre National de la Recherche Scientifique)

Abstract

We describe a sequential mechanism that fully implements the set of efficient outcomes in environments with quasi-linear utilities. The mechanism asks agents to take turns in defining prices for each outcome, with a final player choosing an outcome for all: Price & Choose. The choice triggers a sequence of payments, from each agent to the preceding agent. We present several extensions. First, payoff inequalities may be reduced by endogenizing the order of play. Second, our results extend to a model without quasi-linear utility, to a setting with an outside option, robustness to max-min behavior and caps on prices.

Suggested Citation

  • Federico Echenique & Matías Núñez, 2025. "Price and Choose," Post-Print hal-05511714, HAL.
    • Handle: RePEc:hal:journl:hal-05511714
    DOI: 10.1257/mic.20230095
    Note: View the original document on HAL open archive server: https://hal.science/hal-05511714v1
    as

    Download full text from publisher

    File URL: https://hal.science/hal-05511714v1/document
    Download Restriction: no
    File URL: https://libkey.io/10.1257/mic.20230095?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Laslier, Jean-François & Núñez, Matías & Remzi Sanver, M., 2021. "A solution to the two-person implementation problem," Journal of Economic Theory, Elsevier, vol. 194(C).
    2. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September.
    3. Mariann Ollár & Antonio Penta, 2022. "Efficient Full Implementation via Transfers: Uniqueness and Sensitivity in Symmetric Environments," AEA Papers and Proceedings, American Economic Association, vol. 112, pages 438-443, May.
    4. David Pérez-Castrillo & David Wettstein, 2002. "Choosing Wisely: A Multibidding Approach," American Economic Review, American Economic Association, vol. 92(5), pages 1577-1587, December.
    5. Alfred Galichon & Scott Duke Kominers & Simon Weber, 2019. "Costly Concessions: An Empirical Framework for Matching with Imperfectly Transferable Utility," Journal of Political Economy, University of Chicago Press, vol. 127(6), pages 2875-2925.
    6. Philippe Aghion & Drew Fudenberg & Richard Holden & Takashi Kunimoto & Olivier Tercieux, 2012. "Subgame-Perfect Implementation Under Information Perturbations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(4), pages 1843-1881.
    7. Patrick Legros & Andrew F. Newman, 2007. "Beauty Is a Beast, Frog Is a Prince: Assortative Matching with Nontransferabilities," Econometrica, Econometric Society, vol. 75(4), pages 1073-1102, July.
    8. Ernst Fehr & Michael Powell & Tom Wilkening, 2021. "Behavioral Constraints on the Design of Subgame-Perfect Implementation Mechanisms," American Economic Review, American Economic Association, vol. 111(4), pages 1055-1091, April.
    9. Patrick Legros & Andrew Newman, 2007. "Beauty is a beast, frog is a prince :assortative matching in a nontransferable world," ULB Institutional Repository 2013/7022, ULB -- Universite Libre de Bruxelles.
    10. Salvador Barberà & Danilo Coelho, 2022. "Compromising on compromise rules," RAND Journal of Economics, RAND Corporation, vol. 53(1), pages 95-112, March.
    11. Lars Ehlers, 2009. "Choosing wisely: the natural multi-bidding mechanism," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(3), pages 505-512, June.
    12. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    13. Perez-Castrillo, David & Wettstein, David, 2001. "Bidding for the Surplus : A Non-cooperative Approach to the Shapley Value," Journal of Economic Theory, Elsevier, vol. 100(2), pages 274-294, October.
    14. Yi-Chun Chen & Richard Holden & Takashi Kunimoto & Yifei Sun & Tom Wilkening, 2023. "Getting Dynamic Implementation to Work," Journal of Political Economy, University of Chicago Press, vol. 131(2), pages 285-387.
    15. Camerer, Colin & Dreber, Anna & Forsell, Eskil & Ho, Teck-Hua & Huber, Jurgen & Johannesson, Magnus & Kirchler, Michael & Almenberg, Johan & Altmejd, Adam & Chan, Taizan & Heikensten, Emma & Holzmeist, 2016. "Evaluating replicability of laboratory experiments in Economics," MPRA Paper 75461, University Library of Munich, Germany.
    16. Christopher Chambers, 2005. "Multi-utilitarianism in two-agent quasilinear social choice," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(3), pages 315-334, September.
    17. Bhaskar Dutta & Arunava Sen, 1991. "A Necessary and Sufficient Condition for Two-Person Nash Implementation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(1), pages 121-128.
    18. Pierre-André Chiappori & Bernard Salanié, 2016. "The Econometrics of Matching Models," Journal of Economic Literature, American Economic Association, vol. 54(3), pages 832-861, September.
    19. Preston McAfee, R., 1992. "Amicable divorce: Dissolving a partnership with simple mechanisms," Journal of Economic Theory, Elsevier, vol. 56(2), pages 266-293, April.
    20. Matthew O. Jackson, 1992. "Implementation in Undominated Strategies: A Look at Bounded Mechanisms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(4), pages 757-775.
    21. Crawford, V. P. & Heller, W. P., 1979. "Fair division with indivisible commodities," Journal of Economic Theory, Elsevier, vol. 21(1), pages 10-27, August.
    22. Brown, Alexander L. & Velez, Rodrigo A., 2016. "The costs and benefits of symmetry in common-ownership allocation problems," Games and Economic Behavior, Elsevier, vol. 96(C), pages 115-131.
    23. repec:hal:pseose:hal-00812781 is not listed on IDEAS
    24. Jon X. Eguia & Dimitrios Xefteris, 2021. "Implementation by Vote-Buying Mechanisms," American Economic Review, American Economic Association, vol. 111(9), pages 2811-2828, September.
    25. Mariann Ollár & Antonio Penta, 2022. "Efficient Full Implementation via Transfers: Uniqueness and Sensitivity in Symmetric Environments," Working Papers 1311, Barcelona School of Economics.
    26. Saijo, Tatsuyoshi & Tatamitani, Yoshikatsu & Yamato, Takehiko, 1996. "Toward Natural Implementation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 949-980, November.
    27. Varian, Hal R, 1994. "A Solution to the Problem of Externalities When Agents Are Well-Informed," American Economic Review, American Economic Association, vol. 84(5), pages 1278-1293, December.
    28. John Duggan & Joanne Roberts, 2002. "Implementing the Efficient Allocation of Pollution," American Economic Review, American Economic Association, vol. 92(4), pages 1070-1078, September.
    29. Bergstrom, Theodore C, 1989. "A Fresh Look at the Rotten Kid Theorem--and Other Household Mysteries," Journal of Political Economy, University of Chicago Press, vol. 97(5), pages 1138-1159, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Federico Echenique & Matías Núñez, 2025. "Price and Choose," American Economic Journal: Microeconomics, American Economic Association, vol. 17(2), pages 1-27, May.
    2. Federico Echenique & Mat'ias N'u~nez, 2022. "Price & Choose," Papers 2212.05650, arXiv.org, revised Apr 2023.
    3. Corchón, Luis C., 2008. "The theory of implementation : what did we learn?," UC3M Working papers. Economics we081207, Universidad Carlos III de Madrid. Departamento de Economía.
    4. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288, Elsevier.
    5. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288 Elsevier.
    6. Pérez-Castrillo, David & Quérou, Nicolas, 2012. "Smooth multibidding mechanisms," Games and Economic Behavior, Elsevier, vol. 76(2), pages 420-438.
    7. Nicolò, Antonio & Velez, Rodrigo A., 2017. "Divide and compromise," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 100-110.
    8. Freer, Mikhail & Surana, Khushboo, 2025. "Marital stability with committed couples: A revealed preference analysis," Games and Economic Behavior, Elsevier, vol. 150(C), pages 131-159.
    9. Nava Kahana & Yosef Mealem & Shmuel Nitzan, 2009. "The Efficient and Fair Approval of “Multiple‐Cost‐Single‐Benefit” Projects under Unilateral Information," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(6), pages 947-960, December.
    10. Michele Lombardi & Naoki Yoshihara, 2020. "Partially-honest Nash implementation: a full characterization," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 871-904, October.
    11. Jain, Ritesh & Korpela, Ville & Lombardi, Michele, 2025. "Two-player rationalizable implementation," Journal of Economic Theory, Elsevier, vol. 227(C).
    12. Gerber, Anke & Wichardt, Philipp C., 2009. "Providing public goods in the absence of strong institutions," Journal of Public Economics, Elsevier, vol. 93(3-4), pages 429-439, April.
    13. Chen, Yi-Chun & Kunimoto, Takashi & Sun, Yifei & Xiong, Siyang, 2022. "Maskin meets Abreu and Matsushima," Theoretical Economics, Econometric Society, vol. 17(4), November.
    14. Yukihiro Nishimura, 2008. "A Lindahl Solution To International Emissions Trading," Working Paper 1177, Economics Department, Queen's University.
    15. Lombardi, Michele & Yoshihara, Naoki, 2016. "Partially-honest Nash Implementation with Non-connected Honesty Standards," Discussion Paper Series 633, Institute of Economic Research, Hitotsubashi University.
    16. Liang Chen & Eugene Choo & Alfred Galichon & Simon Weber, 2023. "Existence of a Competitive Equilibrium with Substitutes, with Applications to Matching and Discrete Choice Models," Papers 2309.11416, arXiv.org.
    17. John Duggan & Joanne Roberts, 2002. "Implementing the Efficient Allocation of Pollution," American Economic Review, American Economic Association, vol. 92(4), pages 1070-1078, September.
    18. Michele Lombardi & Naoki Yoshihara, 2017. "Treading a Â…fine line: (Im)possibilities for Nash implementation with partially-honest individuals," Working Papers SDES-2017-14, Kochi University of Technology, School of Economics and Management, revised Aug 2017.
    19. Vidal-Puga, Juan, 2013. "A non-cooperative approach to the ordinal Shapley rule," MPRA Paper 43790, University Library of Munich, Germany.
    20. Lombardi, M. & Yoshihara, N., 2018. "Treading a fine line: (Im)possibilities for Nash implementation with partially-honest individuals," Games and Economic Behavior, Elsevier, vol. 111(C), pages 203-216.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:journl:hal-05511714. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.