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Secondary Bounded Rationality: A Theory of How Algorithms Reproduce Structural Inequality in AI Hiring
Jia Xiao
https://arxiv.org/abs/2507.09233 https://…

Secondary Bounded Rationality: A Theory of How Algorithms Reproduce Structural Inequality in AI Hiring
AI-driven recruitment systems, while promising efficiency and objectivity, often perpetuate systemic inequalities by encoding cultural and social capital disparities into algorithmic decision making. This article develops and defends a novel theory of secondary bounded rationality, arguing that AI systems, despite their computational power, inherit and amplify human cognitive and structural biases through technical and sociopolitical constraints. Analyzing multimodal recruitment frameworks, we …

Replaced article(s) found for cs.GT. https://arxiv.org/list/cs.GT/new
[1/1]:
- Collaborative Mean Estimation Among Heterogeneous Strategic Agents: Individual Rationality, Fairn...
Alex Clinton, Yiding Chen, Xiaojin Zhu, Kirthevasan Kandasamy

Coordinating cooperation in stag-hunt game: Emergence of evolutionarily stable procedural rationality
Joy Das Bairagya, Sagar Chakraborty
https://arxiv.org/abs/2508.08301 https:…

Coordinating cooperation in stag-hunt game: Emergence of evolutionarily stable procedural rationality
Humans are bounded rational at best and this, we argue, has worked in their favour in the hunter-gatherer society where emergence of a coordinated action, leading to cooperation, is otherwise the standard stag-hunt dilemma (when individuals are rational). In line with the fact the humans strive for developing self-reputation by having less propensity to cheat than to be cheated, we observe that the payoff structure of the stag-hunt game appropriately modifies to that of coordination-II game. Su…

Uniform rationality of products with the plane
Juliusz Banecki
https://arxiv.org/abs/2508.07729 https://arxiv.org/pdf/2508.07729

Uniform rationality of products with the plane
Let $X$ be a nonsingular rational variety. We prove that $X\times \mathbb{C}^2$ is uniformly rational. It follows that nonsingular stably rational varieties are stably uniformly rational.

On rationality of certain Eisenstein cohomology
Yubo Jin, Dongwen Liu, Binyong Sun
https://arxiv.org/abs/2506.06738 https://arxiv.org…

On rationality of certain Eisenstein cohomology
In this paper, we study the Eisenstein cohomology coming from Eisenstein series associated to degenerate principal series representations and prove certain rationality result.

Grationality, With a Spoon
L. Jeneva Clark
https://arxiv.org/abs/2508.08267 https://arxiv.org/pdf/2508.08267

Grationality, With a Spoon
The introduction of Grationality at a 2025 sectional meeting of the Mathematical Association of America installed a handle on a concept akin to rationality of numbers, but in a geometric context. A nice $n$-gon was defined to be a regular $n$-gon with side lengths that are natural numbers, and a number $n$ was defined to be grational if and only if there exists a nice $n$-gon such that its area equals the sum of areas of $n$ congruent nice $n$-gons. This paper shows several examples of grationa…

Game-Theoretic Modeling of Vehicle Unprotected Left Turns Considering Drivers' Bounded Rationality
Yuansheng Lian, Ke Zhang, Meng Li, Shen Li
https://arxiv.org/abs/2507.03002 …

Game-Theoretic Modeling of Vehicle Unprotected Left Turns Considering Drivers' Bounded Rationality
Modeling the decision-making behavior of vehicles presents unique challenges, particularly during unprotected left turns at intersections, where the uncertainty of human drivers is especially pronounced. In this context, connected autonomous vehicle (CAV) technology emerges as a promising avenue for effectively managing such interactions while ensuring safety and efficiency. Traditional approaches, often grounded in game theory assumptions of perfect rationality, may inadequately capture the co…

Quantifying Bounded Rationality: Formal Verification of Simon's Satisficing Through Flexible Stochastic Dominance
Jingyuan Li, Zhou Lin
https://arxiv.org/abs/2507.07052

Quantifying Bounded Rationality: Formal Verification of Simon's Satisficing Through Flexible Stochastic Dominance
This paper introduces Flexible First-Order Stochastic Dominance (FFSD), a mathematically rigorous framework that formalizes Herbert Simon's concept of bounded rationality using the Lean 4 theorem prover. We develop machine-verified proofs demonstrating that FFSD bridges classical expected utility theory with Simon's satisficing behavior through parameterized tolerance thresholds. Our approach yields several key results: (1) a critical threshold $\varepsilon < 1/2$ that guarantees uniqueness of …

Improving Rationality in the Reasoning Process of Language Models through Self-playing Game
Pinzheng Wang, Juntao Li, Zecheng Tang, Haijia Gui, Min zhang
https://arxiv.org/abs/2506.22920

Improving Rationality in the Reasoning Process of Language Models through Self-playing Game
Large language models (LLMs) have demonstrated considerable reasoning abilities in various tasks such as mathematics and coding. However, recent studies indicate that even the best models lack true comprehension of their reasoning processes. In this paper, we explore how self-play can enhance the rationality of models in the reasoning process without supervision from humans or superior models. We design a Critic-Discernment Game(CDG) in which a prover first provides a solution to a given proble…

A rationality criterion for real Fano threefolds
Andrea Fanelli, Fr\'ed\'eric Mangolte
https://arxiv.org/abs/2507.04012 https://

A rationality criterion for real Fano threefolds
We study the connectedness of the real locus of smooth geometrically rational Fano threefolds and prove a sufficient criterion of $\mathbb{R}$-rationality.

Convergent Q-Learning for Infinite-Horizon General-Sum Markov Games through Behavioral Economics
Yizhou Zhang, Eric Mazumdar
https://arxiv.org/abs/2508.08669 https://

Convergent Q-Learning for Infinite-Horizon General-Sum Markov Games through Behavioral Economics
Risk-aversion and bounded rationality are two key characteristics of human decision-making. Risk-averse quantal-response equilibrium (RQE) is a solution concept that incorporates these features, providing a more realistic depiction of human decision making in various strategic environments compared to a Nash equilibrium. Furthermore a class of RQE has recently been shown in arXiv:2406.14156 to be universally computationally tractable in all finite-horizon Markov games, allowing for the developm…

Enhancing Serendipity Recommendation System by Constructing Dynamic User Knowledge Graphs with Large Language Models
Qian Yong, Yanhui Li, Jialiang Shi, Yaguang Dou, Tian Qi
https://arxiv.org/abs/2508.04032

Enhancing Serendipity Recommendation System by Constructing Dynamic User Knowledge Graphs with Large Language Models
The feedback loop in industrial recommendation systems reinforces homogeneous content, creates filter bubble effects, and diminishes user satisfaction. Recently, large language models(LLMs) have demonstrated potential in serendipity recommendation, thanks to their extensive world knowledge and superior reasoning capabilities. However, these models still face challenges in ensuring the rationality of the reasoning process, the usefulness of the reasoning results, and meeting the latency requirem…

Perceptual Rationality: An Evolutionary Game Theory of Perceptually Rational Decision-Making
Mohammad Salahshour
https://arxiv.org/abs/2506.17724 https://

Perceptual Rationality: An Evolutionary Game Theory of Perceptually Rational Decision-Making
Understanding how biological organisms make decisions is of fundamental importance in understanding behavior. Such an understanding within evolutionary game theory so far has been sought by appealing to bounded rationality. Here, we present a perceptual rationality framework in the context of group cooperative interactions, where individuals make rational decisions based on their evolvable perception of the environment. We show that a simple public goods game accounts for power law distributed …

Even before the war with Iran started it was clear that even the best bunker buster bombs probably couldn't destroy the deepest facilities in Iran. It makes the rationality of a US participation in the war less clear, Israel doesn't need US help to destroy other kinds of targets.

Twisted associative algebras associated to vertex algebras
Shun Xu
https://arxiv.org/abs/2506.01321 https://arxiv.org/pdf/2506.01321

Twisted associative algebras associated to vertex algebras
Let $V$ be a vertex algebra and $g$ an automorphism of $V$ of order $T$. We construct a sequence of associative algebras $\tilde{A}_{g,n}(V )$ for any $n\in(1/T)\mathbb{N}$, which are not depend on the conformal structure of $V$. We show that for a vertex operator algebra, $g$-rationality, $g$-regularity, and twisted fusion rules are independent of the choice of the conformal vector.

Two-Person Cooperative Games with delta-Rationality
Fang-Fang Tang, Yongsheng Xu
https://arxiv.org/abs/2506.16465 https://arxiv.org/p…

Two-Person Cooperative Games with delta-Rationality
A player's payoff is modeled as consisting of two parts: a rational-value part and a distortion-value part. It is argued that the (total) payoff function should be used to explain and predict the behaviors of the players, while the rational value function should be used to conduct welfare analysis of the final outcome. We use the Nash demand game to illustrate our model.

Information Bulletin Strategy in Impatient Queuing
Anthony Kiggundu, Bin Han, Hans D. Schotten
https://arxiv.org/abs/2508.04241 https://arxiv.org/pdf/2508.…

Information Bulletin Strategy in Impatient Queuing
In Sixth Generation (6G) networks, decentralized control in multi-tenant systems is a suggested enabler for autonomous network operations. However, autonomy requires independent rationale decisions be taken by tenants. This rationality can only be underpinned by timely and continuous access to status information. Despite its importance, the questions of what information should be shared, how much should be communicated, and how frequently updates should be dispatched remain open research challe…

Designing DSIC Mechanisms for Data Sharing in the Era of Large Language Models
Seyed Moein Ayyoubzadeh, Kourosh Shahnazari, Mohammmadali Keshtparvar, MohammadAmin Fazli
https://arxiv.org/abs/2506.05379

Designing DSIC Mechanisms for Data Sharing in the Era of Large Language Models
Training large language models (LLMs) requires vast amounts of high-quality data from institutions that face legal, privacy, and strategic constraints. Existing data procurement methods often rely on unverifiable trust or ignore heterogeneous provider costs. We introduce a mechanism-design framework for truthful, trust-minimized data sharing that ensures dominant-strategy incentive compatibility (DSIC), individual rationality, and weak budget balance, while rewarding data based on both quality …

The Evolution of Altruistic Rationality Provides a Solution to Social Dilemmas via Rational Reciprocity
Mohammad Salahshour, Iain D. Couzin
https://arxiv.org/abs/2507.00858

The Evolution of Altruistic Rationality Provides a Solution to Social Dilemmas via Rational Reciprocity
Decades of scientific inquiry have sought to understand how evolution fosters cooperation, a concept seemingly at odds with the belief that evolution should produce rational, self-interested individuals. Most previous work has focused on the evolution of cooperation among boundedly rational individuals whose decisions are governed by behavioral rules that do not need to be rational. Here, using an evolutionary model, we study how altruism can evolve in a community of rational agents and promote…

Nonrational varieties with unirational parametrizations of coprime degrees
Song Yang, Xun Yu, Zigang Zhu
https://arxiv.org/abs/2508.03623 https://arxiv.org…

Nonrational varieties with unirational parametrizations of coprime degrees
We show that there exists a $2$-dimensional family of smooth cubic threefolds admitting unirational parametrizations of coprime degrees. This together with Clemens--Griffiths' work solves the long standing open problem whether there exists a nonrational variety with unirational parametrizations of coprime degrees. Our proof uses a new approach, called the Noether--Cremona method, for determining the rationality of quotients of hypersurfaces.

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$
Yubo Jin, Jian-Shu Li, Dongwen Liu, Binyong Sun
https://arxiv.org/abs/2506.20942

Period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$
In this paper, we study the special values of Rankin-Selberg L-functions as a continuation of [LLS24]. Utilizing the modular symbol approach, we prove the rationality and period relations for critical values of Rankin-Selberg L-functions for $\mathrm{GL}(n)\times\mathrm{GL}(n)$ over any number field that contains a CM field.

Specialization and rigidity
Zinovy Reichstein, Federico Scavia
https://arxiv.org/abs/2506.22314 https://arxiv.org/pdf/2506.22314

Specialization and rigidity
We describe a general method, originated by Ofer Gabber, for showing that a very general fiber in a family has certain properties. We illustrate this method with concrete examples taken from algebraic dynamics, the rationality problem for algebraic varieties, Galois theory, quadratic form theory and the theory of central simple algebras.

Xenophobia based on a few attributes can impede society's cohesiveness
Alejandro Castro, Tuan Minh Pham, Ernesto Ortega, David Machado
https://arxiv.org/abs/2506.18513

Xenophobia based on a few attributes can impede society's cohesiveness
Xenophobic interactions play a role as important as homophilic ones in shaping many dynamical processes on social networks, such as opinion formation, social balance, or epidemic spreading. In this paper, we use belief propagation and Monte Carlo simulations on tree-like signed graphs to predict that a sufficient propensity to xenophobia can impede a consensus that would otherwise emerge via a phase transition. As the strength of xenophobic interactions and the rationality of individuals with r…

This https://arxiv.org/abs/2502.07585 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_eco…

On the existence of pure epsilon-equilibrium
We show that for any $ε>0$, as the number of agents gets large, the share of games that admit a pure $ε$-equilibrium converges to 1. Our result holds even for pure $ε$-equilibrium in which all agents, except for at most one, play a best response. In contrast, it is known that the share of games that admit a pure Nash equilibrium, that is, for $ε=0$, is asymptotically $1-1/e\approx 0.63$. This suggests that very small deviations from perfect rationality, captured by positive values of $ε$, …

This https://arxiv.org/abs/2505.07501 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csGT_…

The Complexity of Pure Strategy Relevant Equilibria in Concurrent Games
We study rational synthesis problems for concurrent games with $ω$-regular objectives. Our model of rationality considers only pure strategy Nash equilibria that satisfy either a social welfare or Pareto optimality condition with respect to an $ω$-regular objective for each agent. This extends earlier work on equilibria in concurrent games, without consideration about their quality. Our results show that the existence of Nash equilibria satisfying social welfare conditions can be computed as …

On the Virtual Euler Characteristic of the Moduli Space of Stable Pairs on Surfaces
Ana Pavlakovi\'c
https://arxiv.org/abs/2505.23531 https://

On the Virtual Euler Characteristic of the Moduli Space of Stable Pairs on Surfaces
We study the stable pair theory on toric surfaces and determine the virtual tangent space over the fixed point loci. Further, we present a program to compute the virtual Euler characteristic, illustrated by the case of the projective plane. As an application, conjectures regarding rationality and symmetry are supported by verification of a special case.

Replaced article(s) found for cs.GT. https://arxiv.org/list/cs.GT/new
[1/1]:
- Collaborative Mean Estimation Among Heterogeneous Strategic Agents: Individual Rationality, Fairn...
Alex Clinton, Yiding Chen, Xiaojin Zhu, Kirthevasan Kandasamy

Weighted four-dimensional Fano hypersurfaces of K3 type
Valeria Bertini, Francesco Antonio Denisi, Enrico Fatighenti, Annalisa Grossi
https://arxiv.org/abs/2506.18014

Weighted four-dimensional Fano hypersurfaces of K3 type
We study weighted Fano fourfolds of K3 type realized as hypersurfaces in weighted projective spaces. Under the additional assumption that the singular locus has dimension at most one, we prove that only finitely many such families exist. We provide the complete list and analyze their rationality properties, as well as their singularities.

Strategically Robust Game Theory via Optimal Transport
Nicolas Lanzetti, Sylvain Fricker, Saverio Bolognani, Florian D\"orfler, Dario Paccagnan
https://arxiv.org/abs/2507.15325

Strategically Robust Game Theory via Optimal Transport
In many game-theoretic settings, agents are challenged with taking decisions against the uncertain behavior exhibited by others. Often, this uncertainty arises from multiple sources, e.g., incomplete information, limited computation, bounded rationality. While it may be possible to guide the agents' decisions by modeling each source, their joint presence makes this task particularly daunting. Toward this goal, it is natural for agents to seek protection against deviations around the emergent be…