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A maximal domain for weak stochastic dominance strategy-proofness of the extended probabilistic serial correspondence 扩展概率序列对应的弱随机优势策略抗性的极大域
IF 1 3区 经济学 Q3 ECONOMICS Pub Date : 2025-10-10 DOI: 10.1016/j.geb.2025.10.001
Kiyong Yun , Youngsub Chun
On the strict preference domain, Bogomolnaia and Moulin (2001) introduce the probabilistic serial rule and show that the rule is weakly stochastic dominance strategy-proof. Katta and Sethuraman (2006) introduce the extended probabilistic serial correspondence, which generalizes the probabilistic serial rule to the full preference domain. However, this correspondence is not weakly stochastic dominance strategy-proof. In this paper, we introduce a subdomain of the full preference domain, which we call “the sequentially ranked from the top domain,” on which the correspondence is weakly stochastic dominance strategy-proof. In fact, it is a maximal domain on which the three requirements of stochastic dominance efficiency, stochastic dominance envyfreeness, and weak stochastic dominance strategy-proofness are compatible. In addition, on this domain, we provide an axiomatic characterization of it by adapting its characterization on the full preference domain (Heo and Yılmaz, 2015).
在严格偏好域上,Bogomolnaia和Moulin(2001)引入了概率序列规则,并证明该规则是弱随机优势策略证明。Katta和Sethuraman(2006)引入了扩展概率序列对应,将概率序列规则推广到全偏好域。然而,这种对应关系不是弱随机优势策略的证明。在本文中,我们引入了一个完全偏好域的子域,我们称之为“从顶域开始顺序排序”,它的对应关系是弱随机优势策略证明的。实际上,它是随机优势效率、随机优势嫉妒性和弱随机优势策略抗性这三个要求相容的极大域。此外,在这个领域,我们通过在完全偏好域上调整其特征来提供它的公理化特征(Heo和Yılmaz, 2015)。
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引用次数: 0
Information design in the principal-agent problem 委托代理问题中的信息设计
IF 1 3区 经济学 Q3 ECONOMICS Pub Date : 2025-10-10 DOI: 10.1016/j.geb.2025.10.003
Yakov Babichenko , Inbal Talgam-Cohen , Haifeng Xu , Konstantin Zabarnyi
We study a variant of the principal-agent problem in which the principal does not directly observe the agent's effort outcome; rather, she gets a signal about the agent's action according to a variable information structure designed by a regulator. We consider both the case of a risk-neutral and of a risk-averse agent, focusing mainly on a setting with a limited liability assumption. We provide a clean characterization for implementability of actions and utility profiles by any information structure, which turns out to be simple thresholds on the utilities. We further study naturally-constrained information structures in which the signal emitted from any action is either the action itself or some actions nearby. We show that the worst implementable welfare deteriorates gracefully as the information structure becomes noisier. In a more general class of signaling constraints, we prove that deciding whether a certain action is implementable is NP-complete.
我们研究了委托代理问题的一个变体,其中委托人不直接观察代理人的努力结果;相反,她会根据监管者设计的可变信息结构获得一个关于代理行为的信号。我们考虑了风险中性和风险厌恶代理人的情况,主要关注有限责任假设的设置。我们通过任何信息结构为操作和实用程序配置文件的可实现性提供了一个清晰的特征,这是实用程序的简单阈值。我们进一步研究了自然约束的信息结构,其中任何动作发出的信号要么是动作本身,要么是附近的一些动作。我们表明,当信息结构变得嘈杂时,最差的可实现福利会优雅地恶化。在更一般的一类信令约束中,我们证明了决定某个动作是否可实现是np完全的。
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引用次数: 0
Unfounded opinion's curse 毫无根据的观点的诅咒
IF 1 3区 经济学 Q3 ECONOMICS Pub Date : 2025-10-07 DOI: 10.1016/j.geb.2025.09.012
King King Li , Toru Suzuki
This paper investigates the role of uninformed agents in information aggregation. A group of agents, who may or may not have private information about the state, communicate through a specific communication format and vote to make the correct decision—one that matches an unobservable state—based on majority rule. We analyzed efficient equilibria under simultaneous and sequential communication formats and tested these predictions in the laboratory. When all agents were informed, information was aggregated efficiently regardless of the format. However, when some agents were uninformed, the communication format significantly affected information aggregation. Specifically, although the probability of correct group decisions closely aligned with the rational benchmark under sequential communication, it was significantly lower under simultaneous communication, as unfounded opinions undermined information aggregation. We argue that the positive effect of sequential communication can be attributed to the social facilitation effect.
本文研究了不知情主体在信息聚合中的作用。一组代理(可能有也可能没有关于状态的私有信息)通过特定的通信格式进行通信,并根据多数决定原则投票做出正确的决策——与不可观察的状态相匹配。我们分析了同步和顺序通信格式下的有效平衡,并在实验室中对这些预测进行了测试。当所有代理都得到通知时,无论格式如何,信息都可以有效地聚合。然而,当某些代理不知情时,通信格式显著影响信息聚合。具体来说,虽然在顺序沟通下,正确群体决策的概率与理性基准密切相关,但在同步沟通下,由于没有根据的意见破坏了信息聚集,正确群体决策的概率明显较低。我们认为顺序沟通的积极作用可以归因于社会促进效应。
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引用次数: 0
Markovian persuasion with stochastic revelations 随机启示的马尔可夫说服
IF 1 3区 经济学 Q3 ECONOMICS Pub Date : 2025-10-06 DOI: 10.1016/j.geb.2025.09.014
Ehud Lehrer , Dimitry Shaiderman
This paper examines information transmission games where the sender knows the realizations of states from a Markov process, but his informational advantage is counteracted by outside, random revelations to the receiver. For very patient players, we characterize the sender's value of the game with outside revelations in terms of the value without outside revelations. Through our characterization, we identify that, in contrast with the sender-receiver games with fixed states, the sender may benefit from being patient: his discounted value of the game may increase as the discount factor grows.
本文研究了信息传递博弈,其中发送者从马尔可夫过程中知道状态的实现,但他的信息优势被外部随机启示给接收者所抵消。对于非常有耐心的玩家,我们将带有外部信息的发送者的游戏价值描述为没有外部信息的价值。通过我们的描述,我们发现,与具有固定状态的发送者-接收者博弈相比,发送者可能会从耐心中受益:他的博弈贴现价值可能会随着贴现因子的增加而增加。
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引用次数: 0
BAR Nash equilibrium and application to blockchain design BAR纳什均衡及其在区块链设计中的应用
IF 1 3区 经济学 Q3 ECONOMICS Pub Date : 2025-10-02 DOI: 10.1016/j.geb.2025.09.008
Olga Gorelkina , Rida Laraki , Maxime Reynouard
This paper presents a novel solution concept, called BAR Nash Equilibrium (BARNE) and applies it to the Verifier's Dilemma, a fundamental problem in the design of blockchain consensus. BARNE extends the Nash Equilibrium (NE) to accommodate interactions among Byzantine, altruistic, and rational agents, known as the BAR setting in the distributed computing literature. We prove the existence of BARNE in a broad class of games and introduce two refinements: global stability and local stability. We demonstrate that in the classical quorum-based blockchain protocol, honestly following the prescribed strategy is not a locally stable BARNE, whereas free-riding is a globally stable BARNE. To address this, we designed a more robust protocol with the same classical guarantees, by incorporating fines and forced errors. Under this new protocol, honesty becomes the unique globally stable BARNE, and free-riding is never a BARNE.
本文提出了一个新的解决方案概念,称为BAR纳什均衡(BARNE),并将其应用于验证者困境,这是区块链共识设计中的一个基本问题。BARNE扩展了纳什均衡(NE),以适应拜占庭、利他和理性代理之间的交互,在分布式计算文献中被称为BAR设置。我们证明了BARNE在一类广泛的对策中的存在性,并引入了全局稳定性和局部稳定性两种改进。我们证明了在经典的基于群体的区块链协议中,诚实地遵循规定的策略不是局部稳定的BARNE,而搭便车是全局稳定的BARNE。为了解决这个问题,我们通过合并罚款和强制错误,设计了一个具有相同经典保证的更健壮的协议。在这个新协议下,诚实成为全球唯一稳定的巴恩,而搭便车永远不是巴恩。
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引用次数: 0
Evidence games: Lying aversion and commitment 证据游戏:谎言厌恶和承诺
IF 1 3区 经济学 Q3 ECONOMICS Pub Date : 2025-10-02 DOI: 10.1016/j.geb.2025.09.009
Elif B. Osun, Erkut Y. Ozbay
The voluntary disclosure literature suggests that in evidence games, where the informed sender chooses which pieces of evidence to disclose to the uninformed receiver who determines their payoff, commitment does not matter, as there is a theoretical equivalence between the optimal mechanism and the game equilibrium outcomes. In this paper, we experimentally investigate whether the optimal mechanism and the game equilibrium outcomes coincide in a simple evidence game. Contrary to the theoretical equivalence, our results indicate that outcomes diverge and that commitment changes the outcomes. Our experimental results are in line with the predictions of a model that accounts for lying-averse agents.
自愿披露文献表明,在证据博弈中,知情的发送者选择向决定其收益的不知情的接收者披露哪些证据,承诺并不重要,因为最优机制和博弈均衡结果之间存在理论等价。本文通过实验研究了一个简单证据博弈的最优机制和博弈均衡结果是否重合。与理论等价相反,我们的研究结果表明,结果是发散的,承诺改变了结果。我们的实验结果与一个模型的预测一致,该模型解释了厌恶撒谎的行为体。
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引用次数: 0
Stochastic adaptive learning with committed players in games with strict Nash equilibria 严格纳什均衡博弈中有承诺参与者的随机自适应学习
IF 1 3区 经济学 Q3 ECONOMICS Pub Date : 2025-10-02 DOI: 10.1016/j.geb.2025.09.011
Naoki Funai
We investigate the convergence properties of an adaptive learning model that overlaps those of stochastic fictitious play learning and experience-weighted attraction learning in normal form games with strict Nash equilibria. In particular, we consider the case in which adaptive players play a game against not only other adaptive players but also committed players, who do not revise their behaviour but follow a fixed (strict Nash equilibrium or corresponding logit quantal response equilibrium) action. We then provide conditions under which the adaptive learning process, the choice probability profile of adaptive players, almost surely converges to the logit quantal response equilibrium that committed players follow. We also provide conditions under which the adaptive learning process of a more general adaptive learning model which overlaps those of payoff assessment learning and delta learning converges to a logit quantal response equilibrium different from the equilibrium that committed players follow with positive probability.
研究了具有严格纳什均衡的标准博弈中与随机虚拟游戏学习和经验加权吸引学习重叠的自适应学习模型的收敛性。特别是,我们考虑的情况是,适应性玩家不仅与其他适应性玩家进行游戏,而且与承诺玩家进行游戏,后者不修改自己的行为,而是遵循固定的(严格纳什均衡或相应的logit量子响应均衡)行动。然后,我们提供了自适应学习过程的条件,即自适应参与者的选择概率曲线,几乎肯定会收敛于承诺参与者遵循的logit量子响应均衡。我们还提供了一个与收益评估学习和delta学习重叠的更一般的自适应学习模型的自适应学习过程收敛到不同于承诺参与者以正概率遵循的均衡的logit量子响应均衡的条件。
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引用次数: 0
The topology of poker 扑克的拓扑学
IF 1 3区 经济学 Q3 ECONOMICS Pub Date : 2025-10-02 DOI: 10.1016/j.geb.2025.09.013
Laurent Bartholdi , Roman Mikhailov
We introduce a topological invariant of games, based on homotopy theory, that measures their complexity. We examine it in the context of the “Texas Hold'em” variant of poker, and show that the invariant's value is at least 4. We deduce that evaluating the strength of a pair of cards in Texas Hold'em is an intricate problem, and that even the notion of who is bluffing against whom is ill-defined in some situations. The use of higher topological methods to study intransitivity of multi-player games seems new.
基于同伦理论,我们引入了一个拓扑不变量来度量博弈的复杂度。我们在扑克的“德州扑克”变体的背景下检查它,并表明不变量的值至少为4。我们推断,在德州扑克中评估一对牌的强度是一个复杂的问题,甚至在某些情况下,谁在吓唬谁的概念都是不明确的。用高级拓扑方法研究多人博弈的不可传递性似乎是一种新方法。
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引用次数: 0
Reasoning about your own future mistakes 对自己未来的错误进行推理
IF 1 3区 经济学 Q3 ECONOMICS Pub Date : 2025-10-02 DOI: 10.1016/j.geb.2025.09.010
Martin Meier , Andrés Perea
We propose a model of reasoning in dynamic games in which a player, at each information set, holds a conditional belief about his own future choices and the opponents' future choices. These conditional beliefs are assumed to be cautious, that is, the player never completely rules out any feasible future choice by himself or the opponents. We impose the following key conditions: (a) a player always believes that he will choose rationally in the future, (b) a player always believes that his opponents will choose rationally in the future, and (c) a player deems his own mistakes infinitely less likely than the opponents' mistakes. These conditions, together with iterating property (b), lead to the new concept of perfect backwards rationalizability. We show that perfect backwards rationalizable strategies exist in every finite dynamic game. We prove, moreover, that perfect backwards rationalizability constitutes a refinement of both perfect rationalizability (a rationalizability analogue to Selten's (1975) perfect equilibrium) and procedural quasi-perfect rationalizability (a rationalizability analogue to van Damme's (1984) quasi-perfect equilibrium) – two concepts that are introduced in this paper. As a consequence, our concept avoids both weakly dominated strategies in the normal form and strategies containing weakly dominated actions in the agent normal form. For one-shot games, the concept coincides with permissibility (Brandenburger (1992), Börgers (1994)).
我们提出了一个动态博弈的推理模型,在这个模型中,在每个信息集中,参与者对自己的未来选择和对手的未来选择持有一个有条件的信念。这些条件信念被认为是谨慎的,也就是说,玩家永远不会完全排除自己或对手的任何可行的未来选择。我们施加以下关键条件:(a)参与者总是相信他在未来会做出理性选择,(b)参与者总是相信他的对手在未来会做出理性选择,(c)参与者认为自己犯错的可能性比对手犯错的可能性小得多。这些条件与迭代性质(b)一起,导致了完全向后合理化的新概念。我们证明了在每一个有限动态对策中都存在完美的向后合理化策略。此外,我们证明了完全向后合理化构成了完全合理化(类似于Selten(1975)的完全均衡的合理化)和程序准完美合理化(类似于van Damme(1984)的准完美均衡的合理化)的细化-这是本文介绍的两个概念。因此,我们的概念既避免了正常形式下的弱劣势策略,也避免了智能体正常形式下包含弱劣势行为的策略。对于一次性游戏,这一概念与可容许性是一致的(《Brandenburger》(1992),《Börgers》(1994))。
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引用次数: 0
Sequential creation of surplus and the Shapley value 盈余和沙普利值的顺序创造
IF 1 3区 经济学 Q3 ECONOMICS Pub Date : 2025-10-01 DOI: 10.1016/j.geb.2025.09.007
Mikel Álvarez-Mozos , Inés Macho-Stadler , David Pérez-Castrillo
We introduce the family of games with intertemporal externalities, where two disjoint sets of players play sequentially. Coalitions formed by the present players create worth today, but the way these players organize also affects the future: their partition imposes externalities that influence the worth of coalitions formed by future players. We adapt the classic Shapley axioms and explore their implications. They are not sufficient to uniquely determine a value. We propose two solution concepts based on interpreting the Shapley value as the players' expected contributions to coalitions: the one-coalition externality value and the naive value. Our main results show that adding a single axiom to the classical Shapley axioms yields a unique value: the one-coalition externality value arises adding a principle of equal treatment of direct and indirect contributions or an axiom on necessary players, while the naive value is characterized adding equal treatment of externalities.
我们将介绍具有跨期外部性的游戏家族,即两组不相关的玩家按顺序进行游戏。由现在的参与者组成的联盟创造了今天的价值,但这些参与者组织的方式也影响着未来:他们的划分施加了影响未来参与者组成的联盟价值的外部性。我们改编了经典的沙普利公理,并探讨了它们的含义。它们不足以唯一地确定一个值。在将Shapley值解释为参与者对联盟的预期贡献的基础上,我们提出了两个解决方案概念:单联盟外部性值和朴素值。我们的主要研究结果表明,在经典Shapley公理的基础上增加一个公理可以得到一个独特的值:增加一个直接和间接贡献的平等处理原则或一个必要参与者的公理就会产生一个单一联盟的外部性值,而增加外部性的平等处理就会产生朴素值。
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引用次数: 0
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Games and Economic Behavior
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