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We consider games of chance played by someone with external capital that cannot be applied to the game and determine how this affects risk-adjusted optimal betting. Specifically, we focus on Kelly optimization as a metric, optimizing the…

Portfolio Management · Quantitative Finance 2020-12-29 Stanislav Shalunov , Alexei Kitaev , Yakov Shalunov , Arseniy Akopyan

The paper studies an oligopolistic equilibrium model of financial agents who aim to share their random endowments. The risk-sharing securities and their prices are endogenously determined as the outcome of a strategic game played among all…

General Finance · Quantitative Finance 2016-05-18 Michail Anthropelos

Institutions and investors face the constant challenge of making accurate decisions and predictions regarding how best they should distribute their endowments. The problem of achieving an optimal outcome at minimal cost has been extensively…

Multiagent Systems · Computer Science 2021-02-09 Theodor Cimpeanu , Cedric Perret , The Anh Han

We consider two-player contests with the possibility of ties and study the effect of different tie-breaking rules on effort. For ratio-form and difference-form contests that admit pure-strategy Nash equilibrium, we find that the effort of…

Theoretical Economics · Economics 2024-02-05 Sumit Goel , Amit Goyal

Algorithmic fairness and privacy are essential pillars of trustworthy machine learning. Fair machine learning aims at minimizing discrimination against protected groups by, for example, imposing a constraint on models to equalize their…

Machine Learning · Statistics 2021-04-08 Hongyan Chang , Reza Shokri

In the setting of secure multiparty computation (MPC), a set of mutually distrusting parties wish to jointly compute a function, while guaranteeing the privacy of their inputs and the correctness of the output. An MPC protocol is called…

Cryptography and Security · Computer Science 2021-05-07 Ran Cohen , Iftach Haitner , Eran Omri , Lior Rotem

Existing standards for player characterisation in tokenised state machine replication protocols depend on honest players who will always follow the protocol, regardless of possible token increases for deviating. Given the ever-increasing…

Computer Science and Game Theory · Computer Science 2021-06-01 Conor McMenamin , Vanesa Daza , Matteo Pontecorvi

An extensive literature in economics and social science addresses contests, in which players compete to outperform each other on some measurable criterion, often referred to as a player's score, or output. Players incur costs that are an…

Computer Science and Game Theory · Computer Science 2013-08-01 Leslie Ann Goldberg , Paul W. Goldberg , Piotr Krysta , Carmine Ventre

In a semi-realistic market simulator, independent reinforcement learning algorithms may facilitate market makers to maintain wide spreads even without communication. This unexpected outcome challenges the current antitrust law framework. We…

Trading and Market Microstructure · Quantitative Finance 2022-11-02 Bingyan Han

Strategic agents in incomplete-information environments have a conflicted relationship with uncertainty: it can keep them unpredictable to their opponents, but it must also be overcome to predict the actions of those opponents. We use a…

Computer Science and Game Theory · Computer Science 2016-05-16 Seth Frey , Paul L. Williams , Dominic K. Albino

What would you do if you were invited to play a game where you were given \$25 and allowed to place bets for 30 minutes on a coin that you were told was biased to come up heads 60% of the time? This is exactly what we did, gathering 61…

General Finance · Quantitative Finance 2017-01-06 Victor Haghani , Richard Dewey

A fair gambling is hard to be made between two spatially separated parties without introducing a trusted third party. Here we propose a novel gambling protocol, which enables fair gambling between two distant parties without the help of a…

We consider a financial market in which traders potentially face restrictions in trading some of the available securities. Traders are heterogeneous with respect to their beliefs and risk profiles, and the market is assumed thin: traders…

Economics · Quantitative Finance 2023-12-06 Michail Anthropelos , Constantinos Kardaras

In two-player games on graphs, the players move a token through a graph to produce an infinite path, which determines the winner or payoff of the game. We study {\em bidding games} in which the players bid for the right to move the token.…

Computer Science and Game Theory · Computer Science 2019-05-13 Guy Avni , Thomas A. Henzinger , Đorđe Žikelić

Prophet inequalities are a central object of study in optimal stopping theory. A gambler is sent values in an online fashion, sampled from an instance of independent distributions, in an adversarial, random or selected order, depending on…

Data Structures and Algorithms · Computer Science 2024-11-05 Giordano Giambartolomei , Frederik Mallmann-Trenn , Raimundo Saona

Repeated game has long been the touchstone model for agents' long-run relationships. Previous results suggest that it is particularly difficult for a repeated game player to exert an autocratic control on the payoffs since they are jointly…

Computer Science and Game Theory · Computer Science 2018-07-19 Dong Hao , Kai Li , Tao Zhou

Poker has become a popular pastime all over the world. At any given moment one can find tens, if not hundreds, of thousands of players playing poker via their computers on the major on-line gaming sites. Indeed, according to the Vancouver,…

Quantum Physics · Physics 2009-02-13 Steven A. Bleiler

In this article, I will present a paradox whose purpose is to draw your attention to an important topic in finance, concerning the non-independence of the financial returns (non-ergodic hypothesis). In this paradox, we have two people…

General Finance · Quantitative Finance 2019-05-17 Andrea Berdondini

A multi-player competitive Dynkin stopping game is constructed. Each player can either exit the game for a fixed payoff, determined a priori, or stay and receive an adjusted payoff depending on the decision of other players. The single…

Computer Science and Game Theory · Computer Science 2012-11-20 Ivan Guo

This paper studies a nonzero-sum Dynkin game in discrete time under non-exponential discounting. For both players, there are two levels of game-theoretic reasoning intertwined. First, each player looks for an intra-personal equilibrium…

Optimization and Control · Mathematics 2022-05-09 Yu-Jui Huang , Zhou Zhou