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Axiomatic Characterization of the Quadratic Scoring Rule

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Cited by:

  1. D. J. Johnstone, 2011. "Economic Interpretation of Probabilities Estimated by Maximum Likelihood or Score," Management Science, INFORMS, vol. 57(2), pages 308-314, February.
  2. Todd Guilfoos & Andreas Duus Pape, 2020. "Estimating Case-Based Learning," Games, MDPI, vol. 11(3), pages 1-25, September.
  3. Becchetti, Leonardo & Degli Antoni, Giacomo & Ottone, Stefania & Solferino, Nazaria, 2013. "Allocation criteria under task performance: The gendered preference for protection," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 45(C), pages 96-111.
  4. Kai Barron & Christina Gravert, 2022. "Confidence and Career Choices: An Experiment," Scandinavian Journal of Economics, Wiley Blackwell, vol. 124(1), pages 35-68, January.
  5. Luisa Bisaglia & Matteo Grigoletto, 2018. "A new time-varying model for forecasting long-memory series," Papers 1812.07295, arXiv.org.
  6. Papakonstantinou, A. & Rogers, A & Gerding, E. H. & Jennings, N. R., 2010. "Mechanism Design for the truthful elicitation of costly probabilistic estimates in Distributed Information Systems," MPRA Paper 43324, University Library of Munich, Germany.
  7. Mikhael Shor, 2003. "Learning to Respond: The Use of Heuristics in Dynamic Games," Game Theory and Information 0301001, University Library of Munich, Germany.
  8. Anna Conte & M. Vittoria Levati & Natalia Montinari, 2019. "Experience in public goods experiments," Theory and Decision, Springer, vol. 86(1), pages 65-93, February.
  9. Nadine Chlaß & Lata Gangadharan & Kristy Jones, 2023. "Charitable giving and intermediation: a principal agent problem with hidden prices," Oxford Economic Papers, Oxford University Press, vol. 75(4), pages 941-961.
  10. Paul J. Healy & Sera Linardi & J. Richard Lowery & John O. Ledyard, 2010. "Prediction Markets: Alternative Mechanisms for Complex Environments with Few Traders," Management Science, INFORMS, vol. 56(11), pages 1977-1996, November.
  11. Pedro Rey-Biel, 2005. "Equilibrium Play and Best Reply to (Stated) Beliefs in Constant Sum Games," Experimental 0512003, University Library of Munich, Germany.
  12. Gee, Laura K. & Schreck, Michael J., 2018. "Do beliefs about peers matter for donation matching? Experiments in the field and laboratory," Games and Economic Behavior, Elsevier, vol. 107(C), pages 282-297.
  13. Leonard Smith & Emma Suckling & Erica Thompson & Trevor Maynard & Hailiang Du, 2015. "Towards improving the framework for probabilistic forecast evaluation," Climatic Change, Springer, vol. 132(1), pages 31-45, September.
  14. Nick Feltovich, 2000. "Reinforcement-Based vs. Belief-Based Learning Models in Experimental Asymmetric-Information," Econometrica, Econometric Society, vol. 68(3), pages 605-642, May.
  15. Edgar C. Merkle & Mark Steyvers, 2013. "Choosing a Strictly Proper Scoring Rule," Decision Analysis, INFORMS, vol. 10(4), pages 292-304, December.
  16. Ralph-C. Bayer & Hang Wu, 2013. "Do We Learn from Our Own Experience or from Observing Others?," School of Economics and Public Policy Working Papers 2013-21, University of Adelaide, School of Economics and Public Policy.
  17. Chuah, Swee Hoon & Gächter, Simon & Hoffmann, Robert & Tan, Jonathan H.W., 2016. "Religion, discrimination and trust across three cultures," European Economic Review, Elsevier, vol. 90(C), pages 280-301.
  18. Benjamin Enke & Florian Zimmermann, 2019. "Correlation Neglect in Belief Formation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(1), pages 313-332.
  19. Henning Cordes & Bryan Foltice & Thomas Langer, 2019. "Misperception of Exponential Growth: Are People Aware of Their Errors?," Decision Analysis, INFORMS, vol. 16(4), pages 261-280, December.
  20. Radosveta Ivanova-Stenzel & Timothy C. Salmon, 2004. "Bidder Preferences among Auction Institutions," Economic Inquiry, Western Economic Association International, vol. 42(2), pages 223-236, April.
  21. Berninghaus, Siegfried K. & Haller, Sven & Krüger, Tyll & Neumann, Thomas & Schosser, Stephan & Vogt, Bodo, 2013. "Risk attitude, beliefs, and information in a Corruption Game – An experimental analysis," Journal of Economic Psychology, Elsevier, vol. 34(C), pages 46-60.
  22. Victor Jose, 2009. "A Characterization for the Spherical Scoring Rule," Theory and Decision, Springer, vol. 66(3), pages 263-281, March.
  23. Behnud Mir Djawadi & René Fahr & Claus-Jochen Haake & Sonja Recker, 2018. "Maintaining vs. milking good reputation when customer feedback is inaccurate," PLOS ONE, Public Library of Science, vol. 13(11), pages 1-23, November.
  24. Tommaso Proietti & Martyna Marczak & Gianluigi Mazzi, 2017. "Euromind‐ D : A Density Estimate of Monthly Gross Domestic Product for the Euro Area," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 32(3), pages 683-703, April.
  25. Blanco, Mariana & Engelmann, Dirk & Koch, Alexander K. & Normann, Hans-Theo, 2014. "Preferences and beliefs in a sequential social dilemma: a within-subjects analysis," Games and Economic Behavior, Elsevier, vol. 87(C), pages 122-135.
  26. Swee-Hoon Chuah & Robert Hoffmann & Jeremy Larner, 2019. "Is knowledge curse or blessing in pure coordination problems?," Theory and Decision, Springer, vol. 87(1), pages 123-146, July.
  27. Jörg Rieskamp, 2008. "The importance of learning when making inferences," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 3, pages 261-277, March.
  28. Chmura, Thorsten & Goerg, Sebastian J. & Selten, Reinhard, 2012. "Learning in experimental 2×2 games," Games and Economic Behavior, Elsevier, vol. 76(1), pages 44-73.
  29. Cabrales, Antonio & Garcia-Fontes, Walter & Motta, Massimo, 2000. "Risk dominance selects the leader: An experimental analysis," International Journal of Industrial Organization, Elsevier, vol. 18(1), pages 137-162, January.
  30. Ertac, Seda, 2011. "Does self-relevance affect information processing? Experimental evidence on the response to performance and non-performance feedback," Journal of Economic Behavior & Organization, Elsevier, vol. 80(3), pages 532-545.
  31. J. Eric Bickel, 2007. "Some Comparisons among Quadratic, Spherical, and Logarithmic Scoring Rules," Decision Analysis, INFORMS, vol. 4(2), pages 49-65, June.
  32. Plott, Charles R. & Salmon, Timothy C., 2004. "The simultaneous, ascending auction: dynamics of price adjustment in experiments and in the UK3G spectrum auction," Journal of Economic Behavior & Organization, Elsevier, vol. 53(3), pages 353-383, March.
  33. Breitmoser, Yves & Tan, Jonathan H.W. & Zizzo, Daniel John, 2014. "On the beliefs off the path: Equilibrium refinement due to quantal response and level-k," Games and Economic Behavior, Elsevier, vol. 86(C), pages 102-125.
  34. Joseph R. Radzevick & Don A. Moore, 2011. "Competing to Be Certain (But Wrong): Market Dynamics and Excessive Confidence in Judgment," Management Science, INFORMS, vol. 57(1), pages 93-106, January.
  35. Krüger, Fabian & Pavlova, Lora, 2019. "Quantifying subjective oncertainty in survey expectations," Working Papers 0664, University of Heidelberg, Department of Economics.
  36. Yuxi Cai & Nafis Irtija & Eirini Eleni Tsiropoulou & Andreas Veneris, 2022. "Truthful Decentralized Blockchain Oracles," International Journal of Network Management, John Wiley & Sons, vol. 32(2), March.
  37. Luisa Bisaglia & Matteo Grigoletto, 2021. "A new time-varying model for forecasting long-memory series," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 30(1), pages 139-155, March.
  38. Manuel Gebetsberger & Jakob W. Messner & Georg J. Mayr & Achim Zeileis, 2017. "Estimation methods for non-homogeneous regression models: Minimum continuous ranked probability score vs. maximum likelihood," Working Papers 2017-23, Faculty of Economics and Statistics, Universität Innsbruck.
  39. Tibor Neugebauer & John Hey & Carmen Pasca, 2010. "Georges-Louis Leclerc de Buffon’s‘Essays on Moral Arithmetic’," LSF Research Working Paper Series 10-06, Luxembourg School of Finance, University of Luxembourg.
  40. Roopesh Ranjan & Tilmann Gneiting, 2010. "Combining probability forecasts," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 72(1), pages 71-91, January.
  41. Pedro Rey Biel, 2005. "Equilibrium PLay and Best Response to (Stated) Beliefs in Constant Sum Games," Experimental 0506003, University Library of Munich, Germany.
  42. Simon Gächter & Elke Renner, 2010. "The effects of (incentivized) belief elicitation in public goods experiments," Experimental Economics, Springer;Economic Science Association, vol. 13(3), pages 364-377, September.
  43. Breitmoser, Yves & Tan, Jonathan H.W., 2020. "Why should majority voting be unfair?," Journal of Economic Behavior & Organization, Elsevier, vol. 175(C), pages 281-295.
  44. Alessandro Tavoni, 2009. "Incorporating Fairness Motives into the Impulse Balance Equilibrium and Quantal Response Equilibrium Concepts: An Application to 2x2 Games," Working Papers 2009.40, Fondazione Eni Enrico Mattei.
  45. Brit Grosskopf & Rajiv Sarin & Elizabeth Watson, 2015. "An experiment on case-based decision making," Theory and Decision, Springer, vol. 79(4), pages 639-666, December.
  46. Karl Schlag & James Tremewan & Joël Weele, 2015. "A penny for your thoughts: a survey of methods for eliciting beliefs," Experimental Economics, Springer;Economic Science Association, vol. 18(3), pages 457-490, September.
  47. Pedro Rey Biel, 2005. "Equilibrium Play and Best Response in Sequential Constant Sum Games," Experimental 0506004, University Library of Munich, Germany.
  48. Wheatcroft Edward, 2021. "Evaluating probabilistic forecasts of football matches: the case against the ranked probability score," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 17(4), pages 273-287, December.
  49. Arthur Carvalho & Kate Larson, 2012. "Sharing Rewards Among Strangers Based on Peer Evaluations," Decision Analysis, INFORMS, vol. 9(3), pages 253-273, September.
  50. Leonardo Becchetti & Giacomo Degli Antoni & Stefania Ottone & Nazaria Solferino, 2011. "Spectators versus stakeholders with or without veil of ignorance: The difference it makes for justice and chosen distribution criteria," Working Papers 204, ECINEQ, Society for the Study of Economic Inequality.
  51. repec:cup:judgdm:v:10:y:2015:i:1:p:86-96 is not listed on IDEAS
  52. Timothy N. Cason & Karthik N. Kannan & Ralph Siebert, 2011. "An Experimental Study of Information Revelation Policies in Sequential Auctions," Management Science, INFORMS, vol. 57(4), pages 667-688, April.
  53. Christopher P. Chambers & Nicolas S. Lambert, 2021. "Dynamic Belief Elicitation," Econometrica, Econometric Society, vol. 89(1), pages 375-414, January.
  54. Marco LiCalzi & Roland Mühlenbernd, 2022. "Feature-weighted categorized play across symmetric games," Experimental Economics, Springer;Economic Science Association, vol. 25(3), pages 1052-1078, June.
  55. Jaspersen, Johannes G., 2013. "An incentive compatible scoring rule for ordinal judgments of expected utility maximizers," Economics Letters, Elsevier, vol. 120(2), pages 245-248.
  56. Jaspersen, Johannes G. & Montibeller, Gilberto, 2020. "On the learning patterns and adaptive behavior of terrorist organizations," European Journal of Operational Research, Elsevier, vol. 282(1), pages 221-234.
  57. Grözinger, Nicola & Irlenbusch, Bernd & Laske, Katharina & Schröder, Marina, 2020. "Innovation and communication media in virtual teams – An experimental study," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 201-218.
  58. Federica Alberti & Anna Conte & Kei Tsutsui, 2014. "Accuracy of proposers' beliefs in an allocation-type game," Jena Economics Research Papers 2014-002, Friedrich-Schiller-University Jena.
  59. Papakonstantinou, A. & Rogers, A. & Gerding, E. H & Jennings, N. R., 2010. "Mechanism Design for eliciting probabilistic estimates from multiple suppliers with unknown costs and limited precision," MPRA Paper 43323, University Library of Munich, Germany.
  60. Ockenfels, Axel & Schier, Uta K., 2020. "Games as frames," Journal of Economic Behavior & Organization, Elsevier, vol. 172(C), pages 97-106.
  61. Breitmoser, Yves & Tan, Jonathan H.W., 2014. "Reference Dependent Altruism," MPRA Paper 52774, University Library of Munich, Germany.
  62. Moore, Don A. & Carter, Ashli B. & Yang, Heather H.J., 2015. "Wide of the mark: Evidence on the underlying causes of overprecision in judgment," Organizational Behavior and Human Decision Processes, Elsevier, vol. 131(C), pages 110-120.
  63. Arthur Carvalho, 2015. "Tailored proper scoring rules elicit decision weights," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 10(1), pages 86-96, January.
  64. Chuah, Swee Hoon & Gächter, Simon & Hoffmann, Robert & Tan, Jonathan H. W., 2015. "Religion, Discrimination and Trust," IZA Discussion Papers 9616, Institute of Labor Economics (IZA).
  65. Anna Conte & M. Levati, 2014. "Use of data on planned contributions and stated beliefs in the measurement of social preferences," Theory and Decision, Springer, vol. 76(2), pages 201-223, February.
  66. Merkle, Christoph & Weber, Martin, 2011. "True overconfidence: The inability of rational information processing to account for apparent overconfidence," Organizational Behavior and Human Decision Processes, Elsevier, vol. 116(2), pages 262-271.
  67. Simon Gächter & Elke Renner, 2010. "The effects of (incentivized) belief elicitation in public goods experiments," Experimental Economics, Springer;Economic Science Association, vol. 13(3), pages 364-377, September.
  68. David Owens Jr. & Zachary Grossman Jr. & Ryan Fackler Jr., 2014. "The Control Premium: A Preference for Payoff Autonomy," American Economic Journal: Microeconomics, American Economic Association, vol. 6(4), pages 138-161, November.
  69. Yves Breitmoser & Jonathan Tan & Daniel Zizzo, 2010. "Understanding perpetual R&D races," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(3), pages 445-467, September.
  70. John J. Nay & Martin Van der Linden & Jonathan M. Gilligan, 2016. "Betting and Belief: Prediction Markets and Attribution of Climate Change," Papers 1603.08961, arXiv.org, revised Jul 2016.
  71. Karl Schlag & James Tremewan & Joël Weele, 2015. "A penny for your thoughts: a survey of methods for eliciting beliefs," Experimental Economics, Springer;Economic Science Association, vol. 18(3), pages 457-490, September.
  72. Leonardo Becchetti & Giacomo Degli Antoni & Stefania Ottone & Nazaria Solferino, 2012. "Spectators Versus Stakeholders with/without Information: the Difference it Makes for Justice," CEIS Research Paper 221, Tor Vergata University, CEIS, revised 20 Feb 2012.
  73. Papakonstantinou, A. & Bogetoft, P., 2013. "Crowd-sourcing with uncertain quality - an auction approach," MPRA Paper 46055, University Library of Munich, Germany.
  74. Radzevick, Joseph R. & Moore, Don A., 2008. "Myopic biases in competitions," Organizational Behavior and Human Decision Processes, Elsevier, vol. 107(2), pages 206-218, November.
  75. Burdea, Valeria & Woon, Jonathan, 2022. "Online belief elicitation methods," Journal of Economic Psychology, Elsevier, vol. 90(C).
  76. Victor Richmond R. Jose & Robert F. Nau & Robert L. Winkler, 2008. "Scoring Rules, Generalized Entropy, and Utility Maximization," Operations Research, INFORMS, vol. 56(5), pages 1146-1157, October.
  77. Atanasios Mitropoulos, 2001. "On the Measurement of the Predictive Success of Learning Theories in Repeated Games," Experimental 0110001, University Library of Munich, Germany.
  78. Lahav, Yaron, 2015. "Eliciting beliefs in beauty contest experiments," Economics Letters, Elsevier, vol. 137(C), pages 45-49.
  79. Eva Regnier, 2018. "Probability Forecasts Made at Multiple Lead Times," Management Science, INFORMS, vol. 64(5), pages 2407-2426, May.
  80. Petters, Lea M. & Schröder, Marina, 2020. "Negative side effects of affirmative action: How quotas lead to distortions in performance evaluation," European Economic Review, Elsevier, vol. 130(C).
  81. Miller, Nolan H. & Pratt, John W. & Zeckhauser, Richard J. & Johnson, Scott, 2007. "Mechanism design with multidimensional, continuous types and interdependent valuations," Journal of Economic Theory, Elsevier, vol. 136(1), pages 476-496, September.
  82. Miller, Nolan & Resnick, Paul & Zeckhauser, Richard, 2002. "Eliciting Honest Feedback in Electronic Markets," Working Paper Series rwp02-039, Harvard University, John F. Kennedy School of Government.
  83. Healy, Paul J., 2006. "Learning dynamics for mechanism design: An experimental comparison of public goods mechanisms," Journal of Economic Theory, Elsevier, vol. 129(1), pages 114-149, July.
  84. Papakonstantinou, A. & Rogers, A. & Gerding, E. H. & Jennings, N. R, 2008. "A Truthful Two-Stage Mechanism for Eliciting Probabilistic Estimates with Unknown Costs," MPRA Paper 43320, University Library of Munich, Germany.
  85. Roth, Alvin E. & Herzog, Stefan & Hau, Robin & Hertwig, Ralph & Erev, Ido & Ert, Eyal & Haruvy, Ernan & Stewart, Terrence & West, Robert & Lebiere, Christian, 2009. "A Choice Prediction Competition: Choices From Experience and From Description," Scholarly Articles 5343169, Harvard University Department of Economics.
  86. Lian Jian & Rahul Sami, 2012. "Aggregation and Manipulation in Prediction Markets: Effects of Trading Mechanism and Information Distribution," Management Science, INFORMS, vol. 58(1), pages 123-140, January.
  87. Karl Jandoc & Ruben Juarez, 2019. "An Experimental Study of Self-Enforcing Coalitions," Games, MDPI, vol. 10(3), pages 1-32, August.
  88. Nolan Miller & Paul Resnick & Richard Zeckhauser, 2005. "Eliciting Informative Feedback: The Peer-Prediction Method," Management Science, INFORMS, vol. 51(9), pages 1359-1373, September.
  89. Barron, Kai & Gravert, Christina, 2018. "Beliefs and actions: How a shift in confidence affects choices," MPRA Paper 84743, University Library of Munich, Germany.
  90. Biele, Guido & Rieskamp, Jörg & Czienskowski, Uwe, 2008. "Explaining cooperation in groups: Testing models of reciprocity and learning," Organizational Behavior and Human Decision Processes, Elsevier, vol. 106(2), pages 89-105, July.
  91. Noussair, Charles N. & Seres, Gyula, 2020. "The effect of collusion on efficiency in experimental auctions," Games and Economic Behavior, Elsevier, vol. 119(C), pages 267-287.
  92. Chambers, Christopher P. & Healy, Paul J. & Lambert, Nicolas S., 2019. "Proper scoring rules with general preferences: A dual characterization of optimal reports," Games and Economic Behavior, Elsevier, vol. 117(C), pages 322-341.
  93. Linardi, Sera, 2017. "Accounting for noise in the microfoundations of information aggregation," Games and Economic Behavior, Elsevier, vol. 101(C), pages 334-353.
  94. Chiang, Yen-Sheng & Hsu, Yung-Fong, 2019. "The asymmetry of altruistic giving when givers outnumber recipients and vice versa: A dictator game experiment and a behavioral economics model," Journal of Economic Psychology, Elsevier, vol. 73(C), pages 152-160.
  95. repec:cup:judgdm:v:3:y:2008:i::p:261-277 is not listed on IDEAS
  96. Thomas Neumann & Bodo Vogt, 2009. "Do Players’ Beliefs or Risk Attitudes Determine The Equilibrium Selections in 2x2 Coordination Games?," FEMM Working Papers 09024, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
  97. Mitchell Hoffman, 2014. "Training Contracts, Worker Overconfidence, and the Provision of Firm-Sponsored General Training," 2014 Meeting Papers 203, Society for Economic Dynamics.
  98. Jaspersen, Johannes G., 2022. "Convex combinations in judgment aggregation," European Journal of Operational Research, Elsevier, vol. 299(2), pages 780-794.
  99. P. Schanbacher, 2014. "Measuring and adjusting for overconfidence," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(2), pages 423-452, October.
  100. Gotthard-Real, Alexander, 2017. "Desirability and information processing: An experimental study," Economics Letters, Elsevier, vol. 152(C), pages 96-99.
  101. de Haan, Thomas, 2020. "Eliciting belief distributions using a random two-level partitioning of the state space," Working Papers in Economics 1/20, University of Bergen, Department of Economics.
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