Solving diner's dilemma game, circuit implementation, and verification
on IBMQ simulator
- URL: http://arxiv.org/abs/2010.12841v2
- Date: Mon, 16 Nov 2020 13:32:20 GMT
- Title: Solving diner's dilemma game, circuit implementation, and verification
on IBMQ simulator
- Authors: Amit Anand, Bikash K. Behera and Prasanta K. Panigrahi
- Abstract summary: We find the quantum strategy that gives maximum payoff for each diner without affecting the payoff and strategy of others.
We present the circuit implementation for the game, design it on the IBM quantum simulator and verify the strategies in the quantum model.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-sa/4.0/
- Abstract: Diners dilemma is one of the most interesting problems in both economic and
game theories. Here, we solve this problem for n (number of players) =4 with
quantum rules and we are able to remove the dilemma of diners between the
Pareto optimal and Nash equilibrium points of the game. We find the quantum
strategy that gives maximum payoff for each diner without affecting the payoff
and strategy of others. We use the quantum principles of superposition and
entanglement that gives supremacy over any classical strategies. We present the
circuit implementation for the game, design it on the IBM quantum simulator and
verify the strategies in the quantum model.
Related papers
- Imperfect-Recall Games: Equilibrium Concepts and Their Complexity [74.01381499760288]
We investigate optimal decision making under imperfect recall, that is, when an agent forgets information it once held before.
In the framework of extensive-form games with imperfect recall, we analyze the computational complexities of finding equilibria in multiplayer settings.
arXiv Detail & Related papers (2024-06-23T00:27:28Z) - Exploiting Finite Geometries for Better Quantum Advantages in Mermin-Like Games [0.0]
Quantum games embody non-intuitive consequences of quantum phenomena, such as entanglement and contextuality.
In this paper we look at the geometric structure behind such classical strategies, and borrow ideas from the geometry of symplectic polar spaces to maximise this quantum advantage.
arXiv Detail & Related papers (2024-03-14T15:56:43Z) - Optimistic Policy Gradient in Multi-Player Markov Games with a Single
Controller: Convergence Beyond the Minty Property [89.96815099996132]
We develop a new framework to characterize optimistic policy gradient methods in multi-player games with a single controller.
Our approach relies on a natural generalization of the classical Minty property that we introduce, which we anticipate to have further applications beyond Markov games.
arXiv Detail & Related papers (2023-12-19T11:34:10Z) - Repeated quantum game as a stochastic game: Effects of the shadow of the
future and entanglement [0.0]
We present a systematic investigation of the quantum games, constructed using a novel repeated game protocol.
We find that how two pure strategies fare against each other is crucially dependent on the discount factor.
In the quantum game setup, always-defect strategy can be beaten by the tit-for-tat strategy for high enough discount factor.
arXiv Detail & Related papers (2023-12-08T15:54:51Z) - A Quadratic Speedup in Finding Nash Equilibria of Quantum Zero-Sum Games [102.46640028830441]
We introduce the Optimistic Matrix Multiplicative Weights Update (OMMWU) algorithm and establish its average-iterate convergence complexity as $mathcalO(d/epsilon)$ to $epsilon$-Nash equilibria.
This quadratic speed-up sets a new benchmark for computing $epsilon$-Nash equilibria in quantum zero-sum games.
arXiv Detail & Related papers (2023-11-17T20:38:38Z) - Photonic implementation of the quantum Morra game [69.65384453064829]
We study a faithful translation of a two-player quantum Morra game, which builds on previous work by including the classical game as a special case.
We propose a natural deformation of the game in the quantum regime in which Alice has a winning advantage, breaking the balance of the classical game.
We discuss potential applications of the quantum Morra game to the study of quantum information and communication.
arXiv Detail & Related papers (2023-11-14T19:41:50Z) - Quantumizing Classical Games: An Introduction to Quantum Game Theory [2.023315598404668]
We give a concise and self-contained introduction to the theory of Quantum Games by reviewing the seminal works of Meyer, Eisert-Wilkens-Lewenstein, Marinatto-Weber and Landsburg.
We formulate a protocol to $textitQuantumize$ any finite classical $n$-player game, and use a novel approach of describing such a Quantum Game in terms of commuting Payoff Operators.
arXiv Detail & Related papers (2023-04-30T02:14:09Z) - Differentiable Arbitrating in Zero-sum Markov Games [59.62061049680365]
We study how to perturb the reward in a zero-sum Markov game with two players to induce a desirable Nash equilibrium, namely arbitrating.
The lower level requires solving the Nash equilibrium under a given reward function, which makes the overall problem challenging to optimize in an end-to-end way.
We propose a backpropagation scheme that differentiates through the Nash equilibrium, which provides the gradient feedback for the upper level.
arXiv Detail & Related papers (2023-02-20T16:05:04Z) - On the relation between completely bounded and $(1,cb)$-summing maps
with applications to quantum XOR games [65.51757376525798]
We show that given a linear map from a general operator space into the dual of a C$*$-algebra, its completely bounded norm is upper bounded by a universal constant times its $(''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
arXiv Detail & Related papers (2021-12-09T21:06:52Z) - Infinitely Repeated Quantum Games and Strategic Efficiency [0.0]
Repeated quantum game theory addresses long term relations among players who choose quantum strategies.
In the conventional quantum game theory, single round quantum games or at most finitely repeated games have been widely studied.
arXiv Detail & Related papers (2020-05-12T07:39:42Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.