Transformations of Multi-Player Normal form Games by Preplay Offers between Players
نویسندگان
چکیده
The paper deals with multiplayer normal form games which are preceded by a ‘preplay negotiation phase’ consisting of exchange preplay offers players for payments utility to other conditional on them playing designated in the strategies. game-theoretic effect such is transformation payoff matrix game, obtained transferring offered between payoffs respective players; thus, certain groups game transformations naturally emerge. main result an explicit and rather transparent algebraic characterization possible any given N-person induced transfer payments. That can be used describe ‘bargaining space’ determine mutually optimal that rational achieve offers.
منابع مشابه
Transformations of normal form games by preplay offers for payments among players
We consider transformations of normal form games by binding preplay offers of players for payments of utility to other players conditional on them playing designated in the offers strategies. The game-theoretic effect of such preplay offers is transformation of the payoff matrix of the game by transferring payoffs between players. Here we analyze and completely characterize the possible transfo...
متن کاملTwo-player preplay negotiation games with conditional offers
We consider an extension of strategic normal form games with a phase before the actual play of the game, where players can make binding offers for transfer of utilities to other players after the play of the game, contingent on the recipient playing the strategy indicated in the offer. Such offers transform the payoff matrix of the original game but preserve its non-cooperative nature. The type...
متن کاملNon-cooperative games with preplay negotiations
We consider an extension of strategic normal form games with a phase of negotiations before the actual play of the game, where players can make binding offers for transfer of utilities to other players after the play of the game, in order to provide additional incentives for each other to play designated strategies. Such offers are conditional on the recipients playing the specified strategies ...
متن کاملPlanning against fictitious players in repeated normal form games
Planning how to interact against bounded memory and unbounded memory learning opponents needs different treatment. Thus far, however, work in this area has shown how to design plans against bounded memory learning opponents, but no work has dealt with the unbounded memory case. This paper tackles this gap. In particular, we frame this as a planning problem using the framework of repeated matrix...
متن کاملConnections between Finite- and Infinite-player Games: Normal- and Extended-form Analyses
We establish two links between finite-player games and their corresponding nonatomic games (NGs). In a normal-form game setting, we show that an NG’s equilibrium can generate near equilibrium payoffs for large finite games whose player types are sampled from the NG’s signature distribution. In an extended-form game setting involving individual player states that bridge players’ past actions wit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Axioms
سال: 2022
ISSN: ['2075-1680']
DOI: https://doi.org/10.3390/axioms11020073