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Quantitative Fairness Games

Alessandro Bianco, Marco Faella, Fabio Mogavero, Aniello Murano
2010 Electronic Proceedings in Theoretical Computer Science  
These properties can be viewed as quantitative refinements of the classical notion of fair path in a concurrent system, whose simplest form checks whether all colors occur infinitely often.  ...  We consider two-player games played on finite colored graphs where the goal is the construction of an infinite path with one of the following frequency-related properties: (i) all colors occur with the  ...  Recently, we presented two new notions of fairness that introduce a quantitative comparison between competing events [4] .  ... 
doi:10.4204/eptcs.28.4 fatcat:2ew5ii3mi5hpdmgdd75qhivbfe

Quantitative fair simulation games

Krishnendu Chatterjee, Thomas Henzinger, Jan Otop, Yaron Velner
2014
In this work, we study (quantitative) simulation for weighted automata with Büchi acceptance conditions, i.e., we generalize fair simulation from non-weighted automata to weighted automata.  ...  Simulation has also been extended in two orthogonal directions, namely, (1) fair simulation, for simulation over specified set of infinite runs; and (2) quantitative simulation, for simulation between  ...  We introduce implication games. 2. We solve implication games with Büchi objectives for both players and the sum of mean-payoff objectives. 3. We define and solve discounted-sum parity games.  ... 
doi:10.15479/at:ist-2014-315-v1-1 fatcat:v7k552v66jh4tbtlt3wrtqequy

The Ultimatum Game: An Introduction to Quantitative Literacy in a Social Justice Context

Robert Root, Lafayette College
2019 Numeracy  
The game serves to provide quantitative evidence for a diversity of fairness norms across cultures.  ...  The play of the game and its interpretation offer nuanced views of the nature and importance of quantitative literacy.  ...  The game has unique value in teaching quantitative literacy in a social justice context.  ... 
doi:10.5038/1936-4660.12.2.4 fatcat:faweejs6yjbzplw6czzrxjlydq

Quantitative Assume Guarantee Synthesis [chapter]

Shaull Almagor, Orna Kupferman, Jan Oliver Ringert, Yaron Velner
2017 Lecture Notes in Computer Science  
We define the quantitative extension GR(1)[F] of GR(1).  ...  We study quantitative assume-guarantee synthesis. We start with specifications in LTL[F], an extension of LTL by quality operators.  ...  Solving weighted strong-fairness games is co-NP-hard. Proof.  ... 
doi:10.1007/978-3-319-63390-9_19 fatcat:q6ok6myynzbqhkojjjwpobslwi

Simulation Distances [chapter]

Pavol Černý, Thomas A. Henzinger, Arjun Radhakrishna
2010 Lecture Notes in Computer Science  
We use the resulting games with quantitative objectives to define three different simulation distances.  ...  We extend the simulation preorder to the quantitative setting by making each player of a simulation game pay a certain price for her choices.  ...  We denote this game as Q f A,A ′ (P f A,A ′ ). Quantitative fair simulation games.  ... 
doi:10.1007/978-3-642-15375-4_18 fatcat:uyk5h6st4zh6heqnatximkk3uy

Simulation distances

Pavol Černý, Thomas A. Henzinger, Arjun Radhakrishna
2012 Theoretical Computer Science  
We use the resulting games with quantitative objectives to define three different simulation distances.  ...  We extend the simulation preorder to the quantitative setting by making each player of a simulation game pay a certain price for her choices.  ...  We denote this game as Q f A,A ′ (P f A,A ′ ). Quantitative fair simulation games.  ... 
doi:10.1016/j.tcs.2011.08.002 fatcat:zplyg4uefjflpdmjhqofn7qmai

What Is True Halving in the Payoff Matrix of Game Theory?

Hiromu Ito, Yuki Katsumata, Eisuke Hasegawa, Jin Yoshimura, Cheng-Yi Xia
2016 PLoS ONE  
Our results are consistent with studies of the sense of fairness in animals, which indicate that the quantitative criterion has greater validity than the utility criterion.  ...  We also find that traditional analyses of repeated games must be reevaluated.  ...  Therefore, quantitative fairness is also not satisfied in this case.  ... 
doi:10.1371/journal.pone.0159670 pmid:27487194 pmcid:PMC4972255 fatcat:kyxzh5ab5ndezculn7bfyc2zpe

FAIRNESS IN GAMES: A STUDY ON CHILDREN'S AND ADULTS' UNDERSTANDING OF PROBABILITY

RITA BATISTA, RUTE BORBA, ANA HENRIQUES
2022 Statistics Education Research Journal  
This study aims to analyse the reasoning that children and adults with the same school level use to assess and justify the fairness of games, considering aspects of probability such as randomness, sample  ...  of a game consistently.  ...  game fair.  ... 
doi:10.52041/serj.v21i1.79 fatcat:q76qibwfjjabvg5crgm7f6mely

Solid Oak Sketches v. 2K Games: is this lawsuit the beginning of the end of uncertainty concerning the enforceability of tattoo copyrights?

Yolanda M. King
2018 Interactive Entertainment Law Review  
the same video game maker, Hayden v. 2K Games, Inc. et al.  ...  This case review examines a pending tattoo copyright lawsuit filed against a video game maker in 2016, Solid Oak Sketches, LLC v. 2K Games et al, and mentions another more recently filed lawsuit against  ...  In the author's opinion the use of the copyrighted tattoos in the NBA 2K video games exceeds the quantitative threshold for actionable copying.  ... 
doi:10.4337/ielr.2018.01.06 fatcat:ctqygqym5nezpmag56gpuvwtei

Page 280 of Journal of Political Economy Vol. 56, Issue 4 [page]

1948 Journal of Political Economy  
People not only engage in fair games of chance, they engage freely and often eagerly in such unfair games as lotteries.  ...  If the marginal utility of, | money diminishes, an individual seeking to maximize utility will never participate in a “fairgame of chance, for example, a game in which he has an equal chance of winning  ... 

Neuroeconomic Approaches to Mental Disorders

Kenneth T. Kishida, Brooks King-Casas, P. Read Montague
2010 Neuron  
Together, these studies suggest that fairness games and the computations they expose can generate quantitative phenotypes that will allow for further investigation into the underlying genetic influences  ...  Is There a Genetic Basis for the Computations Carried Out in Fairness Games?  ... 
doi:10.1016/j.neuron.2010.07.021 pmid:20797532 pmcid:PMC2957178 fatcat:5fp765wuurh2fnqy24x5o2hbva

Page 4369 of Mathematical Reviews Vol. , Issue 84j [page]

1984 Mathematical Reviews  
is a fair randomized protocol for which the expected number of cuts is O(7).”  ...  Three results are reported. (1) For n>2 players, there is no fair protocol in which only n— 1 cuts are made. (2) There is a fair (deterministic) protocol in which the number of cuts is O(nlogn). (3) There  ... 

Page 351 of Journal of Law Economics & Organization Vol. 20, Issue 2 [page]

2004 Journal of Law Economics & Organization  
“The Indirect Evolutionary Approach to Explaining Fair Allocations,” 28 Games and Economic Behavior |3—24. Kahan, D. M. 1996. “What Do Alternative Sanctions Mean?  ...  “Fairness in Simple Bargaining Experiments,” 6 Games and Economic Behavior 347-69. Frank, R. 1988. Passions within Reason: The Strategic Role of the Emotions. New York: W. W. Norton. Fried, C. 1980.  ... 

A New Pricing Theory That Solves the St. Petersburg Paradox [article]

Dahang Li
2020 arXiv   pre-print
The new pricing theory states that so-called fair (reasonable) pricing should be judged by the seller and the buyer independently.  ...  be applied to financial markets to solve the confusion that financial asset return with fat tails distribution will cause the option pricing formula to fail, thus making up the theoretical defects of quantitative  ...  Strictly speaking, when the games are played N times, the fair price should be log 2 N . WilliamFeller did a good job in quantifying the fair price of the St.  ... 
arXiv:2002.07116v4 fatcat:dt7rfb6bhfg6dnrugo4q7kpuae

Page 3071 of Mathematical Reviews Vol. , Issue 2000d [page]

2000 Mathematical Reviews  
In this paper, we consider from this standpoint a model game for which the problem is rigorously stated, and we obtain some qualitative and quantitative results.”  ...  3071 2000d:91027 91A40 91A12 Huck, Steffen (D-HUMB-EC; Berlin); Oechssler, Jorg (D-HUMB-IW; Berlin) The indirect evolutionary approach to explaining fair allocations. (English summary) Games Econom.  ... 
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