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We study the dynamics of the "Kolkata Paise Restaurant problem". The problem is the following: In each period, N agents have to choose between N restaurants. Agents have a common ranking of the restaurants. Restaurants can only serve one…

Physics and Society · Physics 2012-05-18 Anindya-Sundar Chakrabarti , Bikas K. Chakrabarti , Arnab Chatterjee , Manipushpak Mitra

We study the dynamics of a few stochastic learning strategies for the 'Kolkata Paise Restaurant' problem, where N agents choose among N equally priced but differently ranked restaurants every evening such that each agent tries get to dinner…

Physics and Society · Physics 2010-11-30 Asim Ghosh , Arnab Chatterjee , Manipushpak Mitra , Bikas K Chakrabarti

The objective of the KPR agents are to learn themselves in the minimum (learning) time to have maximum success or utilization probability ($f$). A dictator can easily solve the problem with $f = 1$ in no time, by asking every one to form a…

Computer Science and Game Theory · Computer Science 2024-02-16 Aniruddha Biswas , Antika Sinha , Bikas K. Chakrabarti

The Kolkata Paise Restaurant Problem is a challenging game, in which $n$ agents must decide where to have lunch during their lunch break. The game is very interesting because there are exactly $n$ restaurants and each restaurant can…

Theoretical Economics · Economics 2021-01-20 Kalliopi Kastampolidou , Christos Papalitsas , Theodore Andronikos

We study the dynamics of some uniform learning strategy limits or a probabilistic version of the "Kolkata Paise Restaurant" problem, where N agents choose among N equally priced but differently ranked restaurants every evening such that…

Computer Science and Game Theory · Computer Science 2009-05-21 Asim Ghosh , Anindya Sundar Chakrabarti , Bikas K. Chakrabarti

We study the Kolkata Paise Restaurant Problem (KPRP) with multiple dining clubs, extending work in [A. Harlalka, A. Belmonte and C. Griffin, \textit{Physica A}, 620:128767, 2023]. In classical KPRP, $N$ agents chose among $N$ restaurants at…

Physics and Society · Physics 2025-02-24 Akshat Harlalka , Christopher Griffin

We will review the results for stochastic learning strategies, both classical (one-shot and iterative) and quantum (one-shot only), for optimizing the available many-choice resources among a large number of competing agents, developed over…

Physics and Society · Physics 2022-03-14 Bikas K Chakrabarti , Atanu Rajak , Antika Sinha

In this article, we present a brief narration of the origin and the overview of the recent developments done on the Kolkata Paise Restaurant (KPR) problem, which can serve as a prototype for a broader class of resource allocation problems…

Computer Science and Game Theory · Computer Science 2017-12-19 Kiran Sharma , Anamika , Anindya S. Chakrabarti , Anirban Chakraborti , Sujoy Chakravarty

The Quantum Kolkata restaurant problem is a multiple-choice version of the quantum minority game, where a set of n non-communicating players have to chose between one of m choices. A payoff is granted to the players that make a unique…

Quantum Physics · Physics 2015-06-12 Puya Sharif , Hoshang Heydari

We introduce the idea of a dining club to the Kolkata Paise Restaurant Problem. In this problem, $N$ agents choose (randomly) among $N$ restaurants, but if multiple agents choose the same restaurant, only one will eat. Agents in the dining…

Physics and Society · Physics 2023-05-17 Akshat Harlalka , Andrew Belmonte , Christopher Griffin

In this paper, we study a large-scale distributed coordination problem and propose efficient adaptive strategies to solve the problem. The basic problem is to allocate finite number of resources to individual agents such that there is as…

Computer Science and Game Theory · Computer Science 2017-05-24 Diptesh Ghosh , Anindya S. Chakrabarti

Demand outstrips available resources in most situations, which gives rise to competition, interaction and learning. In this article, we review a broad spectrum of multi-agent models of competition (El Farol Bar problem, Minority Game,…

Consider a graph where each of the $n$ nodes is either in state $\mathcal{R}$ or $\mathcal{B}$. Herein, we analyze the \emph{synchronous $k$-Majority dynamics}, where in each discrete-time round nodes simultaneously sample $k$ neighbors…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-15 Emilio Cruciani , Hlafo Alfie Mimun , Matteo Quattropani , Sara Rizzo

Three player quantum Kolkata restaurant problem is modeled using three entangled qutrits. This first use of three level quantum states in this context is a step towards a $N$-choice generalization of the $N$-player quantum minority game. It…

Quantum Physics · Physics 2012-04-09 Puya Sharif , Hoshang Heydari

We discuss the strategy that rational agents can use to maximize their expected long-term payoff in the co-action minority game. We argue that the agents will try to get into a cyclic state, where each of the $(2N +1)$ agent wins exactly…

Econometrics · Economics 2018-05-25 Hardik Rajpal , Deepak Dhar

We define and study a class of resources allocation processes where $gN$ agents, by repeatedly visiting $N$ resources, try to converge to optimal configuration where each resource is occupied by at most one agent. The process exhibits a…

Physics and Society · Physics 2015-05-30 Asim Ghosh , Daniele De Martino , Arnab Chatterjee , Matteo Marsili , Bikas K. Chakrabarti

We study a non-cooperative two-sided facility location game in which facilities and clients behave strategically. This is in contrast to many other facility location games in which clients simply visit their closest facility. Facility…

Computer Science and Game Theory · Computer Science 2024-06-14 Simon Krogmann , Pascal Lenzner , Alexander Skopalik

We investigate a disordered variant of Pitman's Chinese restaurant process where tables carry i.i.d. weights. Incoming customers choose to sit at an occupied table with a probability proportional to the product of its occupancy and its…

Probability · Mathematics 2024-05-06 Jakob E. Björnberg , Cécile Mailler , Peter Mörters , Daniel Ueltschi

Understanding passengers' path choice behavior in urban rail systems is a prerequisite for effective operations and planning. This paper attempts bridging the gap by proposing a probabilistic approach to infer passengers' path choice…

Applications · Statistics 2023-01-11 Baichuan Mo , ZhenLiang Ma , Haris N. Koutsopoulos , Jinhua Zhao

In a social network, agents are intelligent and have the capability to make decisions to maximize their utilities. They can either make wise decisions by taking advantages of other agents' experiences through learning, or make decisions…

Social and Information Networks · Computer Science 2012-02-14 Chih-Yu Wang , Yan Chen , K. J. Ray Liu
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