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Incomplete information ultimatum games: Some authors have studied variants of the ultimatum game in which either the proposer or the responder has private information about the size of the pie to be divided. [55] [56] These experiments connect the ultimatum game to principal-agent problems studied in contract theory.
The pirate world's rules of distribution say that the most senior pirate first proposes a plan of distribution. The pirates, including the proposer, then vote on whether to accept this distribution. If the majority accepts the plan, the coins are disbursed and the game ends. In case of a tie vote, the proposer has the casting vote. If the ...
For example, Goeree et al. (2002) study overbidding in private-value auctions, [5] Yi (2005) explores behavior in ultimatum games, [6] Hoppe and Schmitz (2013) study the role of social preferences in principal-agent problems, [7] and Kawagoe et al. (2018) investigate step-level public goods games with binary decisions.
The game theorist can use knowledge of the overall problem, that is the friction between two or more players, to limit the strategy spaces, and ease the solution. For instance, strictly speaking in the Ultimatum game a player can have strategies such as: Reject offers of ($1, $3, $5, ..., $19), accept offers of ($0, $2, $4, ..., $20). Including ...
The dictator game is a popular experimental instrument in social psychology and economics, [1] a derivative of the ultimatum game. The term "game" is a misnomer because it captures a decision by a single player: to send money to another or not. [2] Thus, the dictator has the most power and holds the preferred position in this “game.”
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A Rubinstein bargaining model refers to a class of bargaining games that feature alternating offers through an infinite time horizon. The original proof is due to Ariel Rubinstein in a 1982 paper. [1] For a long time, the solution to this type of game was a mystery; thus, Rubinstein's solution is one of the most influential findings in game theory.
One game in which the backward induction solution is well known is tic-tac-toe. Reinhard Selten proved that any game which can be broken into "sub-games" containing a sub-set of all the available choices in the main game will have a subgame perfect Nash Equilibrium strategy (possibly as a mixed strategy giving non-deterministic sub-game decisions).