Impunity game - Misplaced Pages

The impunity game is a simple game in experimental economics, similar to the Dictator Game.

The first player "the proposer" chooses between two possible divisions of some endowment (such as a cash prize):

The first choice will be a very unequal division, giving most of the endowment to themself, and sharing little with the second player (the partner or the "responder").
The second choice is a more even division, giving a "fair" proportion of the initial pie to the responder, and keeping the rest for themself.

The second and final move of the game is in the hands of the responder: he can accept or reject the amount offered. Unlike the ultimatum game, this has no effect on the proposer, who always keeps the share she originally awarded themself.

This game has been studied less intensively than the other standards of experimental economics, but appears to produce the interesting result that proposers typically take the "least fair" option, keeping most of the reward for themselves, a conclusion sharply in contrast to that implied by the ultimatum or dictator games.

Notes

See Bolton, Katok & Zwick (1998) for a dictator game comparison.

References

Bolton, Gary E.; Katok, Elena; Zwick, Rami (17 August 1998). "Dictator game giving: Rules of fairness versus acts of kindness" (PDF). International Journal of Game Theory. 27 (2): 269–299. doi:10.1007/s001820050072. ISSN 0020-7276.
Takagishi, Haruto; Takahashi, Taiki; Toyomura, Akira; Takashino, Nina; Koizumi, Michiko; Yamagishi, Toshio (2009). "Neural correlates of the rejection of unfair offers in the impunity game". Neuro Endocrinology Letters. 30 (4): 496–500. ISSN 0172-780X. PMID 20010492.
Yamagishi, Toshio; Horita, Yutaka; Mifune, Nobuhiro; Hashimoto, Hirofumi; Li, Yang; Shinada, Mizuho; Miura, Arisa; Inukai, Keigo; Takagishi, Haruto; Simunovic, Dora (11 December 2012). "Rejection of unfair offers in the ultimatum game is no evidence of strong reciprocity". Proceedings of the National Academy of Sciences. 109 (50): 20364–20368. doi:10.1073/pnas.1212126109. ISSN 0027-8424. PMC 3528519. PMID 23188801.

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Definitions	Congestion game Cooperative game Determinacy Escalation of commitment Extensive-form game First-player and second-player win Game complexity Graphical game Hierarchy of beliefs Information set Normal-form game Preference Sequential game Simultaneous game Simultaneous action selection Solved game Succinct game Mechanism design
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Strategies	Appeasement Backward induction Bid shading Collusion Cheap talk De-escalation Deterrence Escalation Forward induction Grim trigger Markov strategy Pairing strategy Dominant strategies Pure strategy Mixed strategy Strategy-stealing argument Tit for tat
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Games	Go Chess Infinite chess Checkers All-pay auction Prisoner's dilemma Gift-exchange game Optional prisoner's dilemma Traveler's dilemma Coordination game Chicken Centipede game Lewis signaling game Volunteer's dilemma Dollar auction Battle of the sexes Stag hunt Matching pennies Ultimatum game Electronic mail game Rock paper scissors Pirate game Dictator game Public goods game Blotto game War of attrition El Farol Bar problem Fair division Fair cake-cutting Bertrand competition Cournot competition Stackelberg competition Deadlock Diner's dilemma Guess 2/3 of the average Kuhn poker Nash bargaining game Induction puzzles Trust game Princess and monster game Rendezvous problem
Theorems	Aumann's agreement theorem Folk theorem Minimax theorem Nash's theorem Negamax theorem Purification theorem Revelation principle Sprague–Grundy theorem Zermelo's theorem
Key figures	Albert W. Tucker Amos Tversky Antoine Augustin Cournot Ariel Rubinstein Claude Shannon Daniel Kahneman David K. Levine David M. Kreps Donald B. Gillies Drew Fudenberg Eric Maskin Harold W. Kuhn Herbert Simon Hervé Moulin John Conway Jean Tirole Jean-François Mertens Jennifer Tour Chayes John Harsanyi John Maynard Smith John Nash John von Neumann Kenneth Arrow Kenneth Binmore Leonid Hurwicz Lloyd Shapley Melvin Dresher Merrill M. Flood Olga Bondareva Oskar Morgenstern Paul Milgrom Peyton Young Reinhard Selten Robert Axelrod Robert Aumann Robert B. Wilson Roger Myerson Samuel Bowles Suzanne Scotchmer Thomas Schelling William Vickrey
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