More than Thirty Years of Ultimatum Bargaining Experiments: Motives, Variations, and a Survey of the Recent Literature

Take-it or leave-it offers are probably as old as mankind. Our objective here is, first, to provide a, probably subjectively-colored, recollection of the initial ultimatum game experiment, its motivation and the immediate responses. Second, we discuss important extensions of the standard ultimatum bargaining game in a unified framework, and, third, we offer a survey of the experimental ultimatum bargaining literature containing papers published since the turn of the century. The paper argues that the ultimatum game is an extremely versatile tool for research in bargaining and on social preferences. Finally, we provide examples for open research questions and directions for future studies.

[1]  John A. List,et al.  Stakes Matter in Ultimatum Games , 2011 .

[2]  M. Kocher,et al.  Bargaining under time pressure in an experimental ultimatum game , 2003 .

[3]  R. Aumann Subjectivity and Correlation in Randomized Strategies , 1974 .

[4]  Barry Sopher,et al.  Advice and behavior in intergenerational ultimatum games: An experimental approach , 2007, Games Econ. Behav..

[5]  T. Burnham High-testosterone men reject low ultimatum game offers , 2007, Proceedings of the Royal Society B: Biological Sciences.

[6]  Robert Hoffmann,et al.  An Economic Anatomy of Culture: Attitudes and Behaviour in Inter- and Intra-National Ultimatum Game Experiments , 2009 .

[7]  David G. Rand,et al.  Evolution of fairness in the one-shot anonymous Ultimatum Game , 2013, Proceedings of the National Academy of Sciences.

[8]  Charles Bellemare,et al.  Preferences, Intentions, and Expectations: A Large-Scale Experiment with a Representative Subject Pool , 2007, SSRN Electronic Journal.

[9]  Simon Gächter,et al.  Moral Property Rights in Bargaining with Infeasible Claims , 2005, Manag. Sci..

[10]  James Andreoni,et al.  What Do Bargainers' Preferences Look Like? Experiments with a Convex Ultimatum Game , 2003 .

[11]  Klaus M. Schmidt,et al.  A Theory of Fairness, Competition, and Cooperation , 1999 .

[12]  H. Hennig-Schmidt,et al.  Why People Reject Advantageous Offers - Non-monotone Strategies in Ultimatum Bargaining , 2008 .

[13]  Aurora García-Gallego,et al.  Ultimatum salary bargaining with real effort , 2008 .

[14]  S. Zamir,et al.  Bargaining and Market Behavior in Jerusalem, Ljubljana, Pittsburgh, and Tokyo: An Experimental Study , 1991 .

[15]  Matthew L. Spitzer,et al.  Entitlements, Rights, and Fairness: An Experimental Examination of Subjects' Concepts of Distributive Justice , 1985, The Journal of Legal Studies.

[16]  Kevin McCabe,et al.  The Impact of Exchange Context on the Activation of Equity in Ultimatum Games , 2000 .

[17]  Daniel Houser,et al.  Emotion expression in human punishment behavior. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[18]  J. Andreoni,et al.  Testing subgame perfection apart from fairness in ultimatum games , 2006 .

[19]  S. Israel,et al.  Dopamine D4 Receptor Gene Associated with Fairness Preference in Ultimatum Game , 2010, PloS one.

[20]  T. Singer,et al.  Impulse Control and Underlying Functions of the Left DLPFC Mediate Age-Related and Age-Independent Individual Differences in Strategic Social Behavior , 2012, Neuron.

[21]  R. Myerson Refinements of the Nash equilibrium concept , 1978 .

[22]  Gary E. Bolton,et al.  ERC: A Theory of Equity, Reciprocity, and Competition , 2000 .

[23]  Barry Sopher,et al.  Social Learning and Coordination Conventions in Intergenerational Games: An Experimental Study , 2003, Journal of Political Economy.

[24]  J. Carpenter,et al.  Comparing Students to Workers: The Effects of Social Framing on Behavior in Distribution Games , 2004, SSRN Electronic Journal.

[25]  A. Shaked,et al.  Testing non-cooperative bargaining theory: a preliminary study , 1985 .

[26]  Iris Bohnet,et al.  Social Comparisons in Ultimatum Bargaining , 2003 .

[27]  U. Fischbacher,et al.  Journal of Economic Behavior & Organization Fairness, Errors and the Power of Competition , 2022 .

[28]  Katia M. Harlé,et al.  Incidental sadness biases social economic decisions in the Ultimatum Game. , 2007, Emotion.

[29]  Robert J. Oxoby,et al.  Sequential decision and strategy vector methods in ultimatum bargaining: evidence on the strength of other-regarding behavior , 2004 .

[30]  Michel J. J. Handgraaf,et al.  The salience of a recipient’s alternatives: Inter- and intrapersonal comparison in ultimatum games , 2003 .

[31]  Nikolaos Georgantzís,et al.  Gender differences in ultimatum games: Despite rather than due to risk attitudes , 2012 .

[32]  W. Güth On ultimatum bargaining experiments — A personal review , 1995 .

[33]  You are not in my boat: common fate and discrimination against outgroup members , 2011 .

[34]  F. van Winden,et al.  Negative Reciprocity and the Interaction of Emotions and Fairness Norms , 2005, SSRN Electronic Journal.

[35]  E. Damme,et al.  Information, Strategic Behavior, and Fairness in Ultimatum Bargaining: An Experimental Study. , 1998, Journal of mathematical psychology.

[36]  C. Plott,et al.  Handbook of Experimental Economics Results , 2008 .

[37]  W. Güth,et al.  An experimental analysis of ultimatum bargaining , 1982 .

[38]  David De Cremer,et al.  Social value orientations and the strategic use of fairness in ultimatum bargaining , 2004 .

[39]  Craig Hadley,et al.  The Ultimatum Game in Southwestern Tanzania: Ethnic Variation and Institutional Scope1 , 2003, Current Anthropology.

[40]  J. Horowitz,et al.  Fairness in Simple Bargaining Experiments , 1994 .

[41]  Axel Ockenfels,et al.  Buying a pig in a poke: An experimental study of unconditional veto power , 2007 .

[42]  F. Winden,et al.  Gender pairing and bargaining—Beware the same sex! , 2009 .

[43]  Gary E. Bolton A Comparative Model of Bargaining: Theory and Evidence , 1991 .

[44]  Eric J. Johnson,et al.  Detecting Failures of Backward Induction: Monitoring Information Search in Sequential Bargaining , 2002, J. Econ. Theory.

[45]  Werner Güth,et al.  Making the world a better place: Experimental evidence from the generosity game , 2009 .

[46]  A. Rubinstein Perfect Equilibrium in a Bargaining Model , 1982 .

[47]  Thomas Buser,et al.  Digit ratios, the menstrual cycle and social preferences , 2012, Games Econ. Behav..

[48]  J. Nash THE BARGAINING PROBLEM , 1950, Classics in Game Theory.

[49]  Auszahlungsaufteilungsverhalten in Apex-Spielen und Versteigerung der Spielerrollen : eine spieltheoretische und experimentelle Analyse , 1983 .

[50]  Werner Güth,et al.  From ultimatum to Nash bargaining: Theory and experimental evidence , 2003 .

[51]  A. Roth,et al.  Learning in Extensive-Form Games: Experimental Data and Simple Dynamic Models in the Intermediate Term* , 1995 .

[52]  W. Güth,et al.  Will you accept without knowing what? The Yes-No game in the newspaper and in the lab , 2012 .

[53]  Jordi Brandts,et al.  Reference Points and Negative Reciprocity in Simple Sequential Games , 2001, Games Econ. Behav..

[54]  W. Güth,et al.  Loss Aversion and Learning to Bid , 2009 .

[55]  Muriel Niederle,et al.  Fairness in bargaining , 2005 .

[56]  Jean-François Laslier,et al.  Interpersonal comparisons of utility in bargaining: evidence from a transcontinental ultimatum game , 2009 .

[57]  D. Friedman,et al.  A Tractable Model of Reciprocity and Fairness , 2006 .

[58]  U. Fischbacher,et al.  On the Nature of Fair Behavior , 1999 .

[59]  Gary E. Bolton,et al.  Fair Procedures: Evidence from Games Involving Lotteries , 2000 .

[60]  L. Thompson,et al.  Social Utility and Decision Making in Interpersonal Contexts , 1989 .

[61]  Jeffrey P. Carpenter,et al.  Is fairness used instrumentally? Evidence from sequential bargaining , 2003 .

[62]  Robert Hoffmann,et al.  Adolescent-Adult Interactions and Culture in the Ultimatum Game , 2006 .

[63]  Gary E. Bolton,et al.  Strategy and Equity: An ERC-Analysis of the Güth-van Damme Game. , 1998, Journal of mathematical psychology.

[64]  Pamela Schmitt,et al.  On Perceptions of Fairness: The Role of Valuations, Outside Options, and Information in Ultimatum Bargaining Games , 2004 .

[65]  M. Johannesson,et al.  Heritability of ultimatum game responder behavior , 2007, Proceedings of the National Academy of Sciences.

[66]  S. Siegel,et al.  Bargaining And Group Decision Making , 1960 .

[67]  E. G. Shapiro,et al.  Effect of expectations of future interaction on reward allocations in dyads: Equity or equality. , 1975 .

[68]  Gershon Ben-Shakhar,et al.  Reciprocity and emotions in bargaining using physiological and self-report measures , 2007 .

[69]  W. Güth,et al.  Two-Level Ultimatum Bargaining with Incomplete Information: An Experimental Study , 1996 .

[70]  Patrick W. Schmitz,et al.  Contracting under Incomplete Information and Social Preferences: An Experimental Study , 2012 .

[71]  Equilibration et dépendance du contexte. Une évaluation expérimentale du jeu de négociation sous ultimatum , 1998 .

[72]  Dirk Helbing,et al.  Bargaining over waiting time in ultimatum game experiments. , 2012, Social science research.

[73]  R. G. Cummings,et al.  Cultural Diversity, Discrimination, and Economic Outcomes: An Experimental Analysis , 2007 .

[74]  W. Güth,et al.  Fairness in the Mail and Opportunism in the Internet: A Newspaper Experiment on Ultimatum Bargaining , 2003 .

[75]  Axel Ockenfels,et al.  Is it all about the self? The effect of self-control depletion on ultimatum game proposers , 2013, Front. Hum. Neurosci..

[76]  H. Oosterbeek,et al.  Cultural Differences in Ultimatum Game Experiments: Evidence from a Meta-Analysis , 2001 .

[77]  Ilan Yaniv,et al.  Individual and Group Behavior in the Ultimatum Game: Are Groups More "Rational" Players? , 1998 .

[78]  Stefan Krabel,et al.  Decision-making in competitive framings—Strategic behavior of chess players in mini-ultimatum game chess puzzles , 2012 .

[79]  Bernd Irlenbusch,et al.  Strategic ignorance in ultimatum bargaining , 2013 .

[80]  P. Schmitz,et al.  Participation Costs for Responders Can Reduce Rejection Rates in Ultimatum Bargaining , 2008 .

[81]  Robert Hoffmann,et al.  Do Cultures Clash? Evidence from Cross-National Ultimatum Game Experiments , 2007 .

[82]  R. Selten,et al.  End behavior in sequences of finite prisoner's dilemma supergames , 1986 .

[83]  A. Roth,et al.  An experimental study of sequential bargaining , 1998 .

[84]  Matthias Sutter,et al.  Trust and trustworthiness across different age groups , 2007, Games Econ. Behav..

[85]  W. Güth,et al.  An experimental study of the generosity game , 2012 .

[86]  Kevin McCabe,et al.  On expectations and the monetary stakes in ultimatum games , 1996 .

[87]  Colin Camerer Behavioral Game Theory: Experiments in Strategic Interaction , 2003 .

[88]  Gad Saad,et al.  Sex Differences in the Ultimatum Game: An Evolutionary Psychology Perspective , 2001 .

[89]  Gary E. Bolton,et al.  A stress test of fairness measures in models of social utility , 2005 .

[90]  Ernesto Reuben,et al.  Fairness Perceptions and Prosocial Emotions in the Power to Take , 2010 .

[91]  Chun-Lei Yang,et al.  The Hot Versus Cold Effect in a Simple Bargaining Experiment , 2003 .

[92]  M. Rabin,et al.  Understanding Social Preference with Simple Tests , 2001 .

[93]  Ronald Bosman,et al.  Emotional Hazard in a Power-to-Take Experiment , 2002 .

[94]  “Si él lo necesita”: Gypsy fairness in Vallecas , 2006 .

[95]  V. Horner,et al.  Spontaneous prosocial choice by chimpanzees , 2011, Proceedings of the National Academy of Sciences.

[96]  Ro'i Zultan,et al.  Strategic and social pre-play communication in the ultimatum game , 2012 .

[97]  M. Rabin Published by: American , 2022 .

[98]  Matthias Sutter,et al.  The impact of real effort and emotions in the power-to-take game , 2005 .

[99]  Frederick W. Rankin Communication in ultimatum games , 2003 .

[100]  Pablo Brañas-Garza,et al.  Experimental subjects are not different , 2013, Scientific Reports.

[101]  William Samuelson,et al.  I Won the Auction But Don't Want the Prize , 1983 .

[102]  W. Güth,et al.  Approximate Truth in Economic Modelling , 2004 .

[103]  W. Güth,et al.  Being of two minds: Ultimatum offers under cognitive constraints , 2011 .

[104]  Werner Güth,et al.  Bargaining Outside the Lab a Newspaper Experiment of a Three-Person Ultimatum Game , 2005 .

[105]  M. Schweitzer,et al.  When Better is Worse: Envy and the Use of Deception in Negotiations , 2005 .

[106]  W. Güth,et al.  Ultimatum bargaining behavior : a survey and comparison of experimental results , 1990 .

[107]  H. Holm,et al.  Choosing Bargaining Partners—An Experimental Study on the Impact of Information About Income, Status and Gender , 2005 .

[108]  A. Rubinstein A BARGAINING MODEL WITH INCOMPLETE INFORMATION ABOUT TIME PREFERENCES , 1985 .

[109]  S. Solnick Gender differences in the ultimatum game , 2001 .

[110]  Haijin Lin,et al.  Using Experimental Data to Model Bargaining Behavior in Ultimatum Games , 2001 .

[111]  J. Henrich Does culture matter in economic behavior? Ultimatum game bargaining among the machiguenga , 2000 .

[112]  W. Güth,et al.  Effects of exclusion on acceptance in ultimatum games , 2012 .

[113]  Werner Güth,et al.  The Relevance of Equal Splits in Ultimatum Games , 2001, Games Econ. Behav..

[114]  Sheila Ahmadi,et al.  Testosterone Administration Decreases Generosity in the Ultimatum Game , 2009, PloS one.

[115]  G. Charness,et al.  What's in a Name? Anonymity and Social Distance in Dictator and Ultimatum Games , 2003 .

[116]  Wenjie Tang,et al.  Ultimatum Deadlines , 2009, Manag. Sci..

[117]  D. Levine Modeling Altruism and Spitefulness in Experiments , 1998 .

[118]  M. Sutter,et al.  Outcomes versus intentions: On the nature of fair behavior and its development with age , 2007 .

[119]  Olivier Armantier Do Wealth Differences Affect Fairness Considerations? , 2006 .

[120]  J. Andreoni,et al.  What do bargainers' preferences look like?: exploring a convex ultimatum game , 2000 .

[121]  R. Boyd,et al.  In Search of Homo Economicus: Behavioral Experiments in 15 Small- Scale Societies , 2001 .

[122]  A. Nicklisch,et al.  Wage differentials and social comparison: An experimental study of interrelated ultimatum bargaining , 2009 .

[123]  Werner Güth,et al.  On the Nash bargaining solution with noise , 2004 .

[124]  Ramzi Suleiman,et al.  Expectations and fairness in a modified Ultimatum game , 1996 .

[125]  C. Anderson,et al.  Bargaining and trust: the effects of 36‐h total sleep deprivation on socially interactive decisions , 2010, Journal of sleep research.

[126]  Roger B. Myerson,et al.  Acceptable and predominant correlated equilibria , 1986 .

[127]  E. Glenn Dutcher,et al.  The dynamics of responder behavior in ultimatum games: a meta-study , 2011 .

[128]  Gary E. Bolton,et al.  Anonymity versus Punishment in Ultimatum Bargaining , 1995 .

[129]  Natascia Brondino,et al.  Relationship between platelet serotonin content and rejections of unfair offers in the ultimatum game , 2008, Neuroscience Letters.

[130]  D. Cremer,et al.  When social accounts promote acceptance of unfair ultimatum offers: The role of the victim’s stress responses to uncertainty and power position , 2011 .

[131]  V. Grimm,et al.  Let me sleep on it: Delay reduces rejection rates in ultimatum games , 2011 .

[132]  Ilja van Beest,et al.  Power and deception in ultimatum bargaining , 2011 .

[133]  R. Hertwig,et al.  Learning (Not) To Yield: An Experimental Study of Evolving Ultimatum Game Behavior , 2013 .

[134]  Ken Binmore,et al.  Learning to be imperfect: The ultimatum game , 1995 .

[135]  Amnon Rapoport,et al.  Ultimatums in two-person bargaining with one-sided uncertainty: Demand games , 1996 .

[136]  M. Kocher,et al.  Are Groups More Rational than Individuals? A Review of Interactive Decision Making in Groups , 2012, Wiley interdisciplinary reviews. Cognitive science.

[137]  Alvin E. Roth,et al.  Relative versus Absolute Speed of Adjustment in Strategic Environments: Responder Behavior in Ultimatum Games , 2003 .

[138]  Catherine C. Eckel,et al.  Chivalry and Solidarity in Ultimatum Games , 2001 .

[139]  Werner Güth,et al.  From Ultimatum Bargaining to Dictatorship—an Experimental Study of Four Games Varying in Veto Power , 1997 .

[140]  Terry L. Boles,et al.  Cheap talk in bargaining experiments: lying and threats in ultimatum games , 2003 .

[141]  Hans-Theo Normann,et al.  A Within-Subject Analysis of Other-Regarding Preferences , 2010, Games Econ. Behav..

[142]  Terry L. Boles,et al.  Deception and Retribution in Repeated Ultimatum Bargaining. , 2000, Organizational behavior and human decision processes.

[143]  David L. Dickinson,et al.  Ultimatum decision-making: A test of reciprocal kindness , 2000 .

[144]  W. Güth,et al.  Efficiency by trust in fairness? multiperiod ultimatum bargaining experiments with an increasing cake , 1993 .

[145]  Werner Güth,et al.  Equity versus Efficiency? Evidence from Three-Person Generosity Experiments , 2010, Games.

[146]  R. Nagel,et al.  Experimental results on ultimatum games with incomplete information , 1993 .

[147]  Charles Bellemare,et al.  MEASURING INEQUITY AVERSION IN A HETEROGENEOUS POPULATION USING EXPERIMENTAL DECISIONS AND SUBJECTIVE PROBABILITIES , 2008 .

[148]  Armin Falk,et al.  A Theory of Reciprocity , 2001, Games Econ. Behav..

[149]  Group Decision-Making and Voting in Ultimatum Bargaining: An Experimental Study , 2011 .

[150]  M. Zeelenberg,et al.  Take it or leave it for something better? Responses to fair offers in ultimatum bargaining , 2009 .

[151]  John C. Harsanyi,et al.  Общая теория выбора равновесия в играх / A General Theory of Equilibrium Selection in Games , 1989 .

[152]  Jonathan D. Cohen,et al.  The Neural Basis of Economic Decision-Making in the Ultimatum Game , 2003, Science.

[153]  S. Chew,et al.  Sex-Hormone Genes and Gender Difference in Ultimatum Game: Experimental Evidence from China and Israel , 2011 .

[154]  Todd L. Cherry,et al.  Hardnose the Dictator , 2002 .

[155]  W. Güth,et al.  Does Entitlement Crowd Out Efficiency or Equality Seeking? - Selling the Roles in Generosity Game Experiments - , 2010 .

[156]  Georg Kirchsteiger,et al.  The role of envy in ultimatum games , 1994 .

[157]  Katia M. Harlé,et al.  Expectations and outcome: the role of proposer features in the Ultimatum Game , 2011 .

[158]  Joydeep Srivastava,et al.  Coupling and decoupling of unfairness and anger in ultimatum bargaining , 2009 .

[159]  Michael Tomasello,et al.  Chimpanzees are vengeful but not spiteful , 2007, Proceedings of the National Academy of Sciences.

[160]  J. Keith Murnighan,et al.  Ultimatum bargaining by children and adults , 1998 .

[161]  Simone Moran,et al.  When Better Is Worse: Envy and the Use of Deception , 2008 .

[162]  Jordi Brandts,et al.  The strategy versus the direct-response method: a first survey of experimental comparisons , 2011 .

[163]  Philip Wolfe,et al.  Contributions to the theory of games , 1953 .

[164]  Hugo Sonnenschein,et al.  A Further Test of Noncooperative Bargaining Theory: Comment , 1988 .

[165]  Will You Accept Without Knowing What? A Thuringian Newspaper Experiment of the Yes-No Game , 2010 .

[166]  Effect of monitor-subject cheap talk on ultimatum game offers , 2004 .

[167]  Ola Andersson,et al.  Persuasion in experimental ultimatum games , 2010 .

[168]  G. C. Homans,et al.  Social Behavior: Its Elementary Forms. , 1975 .

[169]  M. Zeelenberg,et al.  Fear and guilt in proposers : Using emotions to explain offers in ultimatum bargaining , 2011 .

[170]  M. L. Demattè,et al.  Pecunia olet: the role of incidental disgust in the ultimatum game. , 2011, Emotion.

[171]  A. Nicklisch,et al.  Learning and Peer Effects , 2010 .

[172]  R. Selten Reexamination of the perfectness concept for equilibrium points in extensive games , 1975, Classics in Game Theory.

[173]  G. Owen,et al.  Two-person bargaining: An experimental test of the Nash axioms , 1974 .

[174]  Maarten A. S. Boksem,et al.  Fairness concerns predict medial frontal negativity amplitude in ultimatum bargaining , 2010, Social neuroscience.

[175]  Werner Güth,et al.  Why Do People Veto? An Experimental Analysis of the Valuation and the Consequences of Varying Degrees of Veto Power , 2000, SSRN Electronic Journal.

[176]  Rick K. Wilson,et al.  Confusion or fairness in the field? Rejections in the ultimatum game under the strategy method , 2006 .

[177]  W. Güth,et al.  What limits escalation?—Varying threat power in an ultimatum experiment , 2003 .

[178]  Roberto A. Weber,et al.  Implicit vs. explicit deception in ultimatum games with incomplete information , 2013 .

[179]  Kang Chen,et al.  Cultural differences between Tibetans and ethnic Han Chinese in ultimatum bargaining experiments , 2009 .