Explanipedia

Robust equilibria in continuous games: From strategic to dynamic robustness Open

Lotidis, Kyriakos, Mertikopoulos, Panayotis, Bambos, Nicholas, Blanchet, Jose · 2025

In this paper, we examine the robustness of Nash equilibria in continuous games, under both strategic and dynamic uncertainty. Starting with the former, we introduce the notion of a robust equilibrium as those equilibria that remain invari…

Robust equilibria in continuous games: From strategic to dynamic robustness Open

Lotidis, Kyriakos, Mertikopoulos, Panayotis, Bambos, Nicholas, Blanchet, Jose · 2025

In this paper, we examine the robustness of Nash equilibria in continuous games, under both strategic and dynamic uncertainty. Starting with the former, we introduce the notion of a robust equilibrium as those equilibria that remain invari…

Mechanism Design under Unawareness -- Extended Abstract Open

Pram, Kym, Schipper, Burkhard C. · 2025

We study the design of mechanisms under asymmetric awareness and information. While the mechanism designer cannot necessarily commit to a particular social choice function in the face of unawareness, she can at least commit to properties o…

Prudent Rationalizability and the Best Rationalization Principle Open

De Vito, Nicodemo · 2025

We study cautious reasoning in finite sequential games played by agents with perfect recall. Our contribution lies in formulating a definition of prudent rationalizability (Heifetz et al. 2021, BEJTE) as an iterative reduction procedure of…

Prudent Rationalizability and the Best Rationalization Principle Open

Nicodemo De Vito · 2025

A Syntactic Approach to Rationality in Games with Ordinal Payoffs Open

Giacomo Bonanno · 2025

We consider strategic-form games with ordinal payoffs and provide a syntactic analysis of common belief/knowledge of rationality, which we define axiomatically. Two axioms are considered. The first says that a player is irrational if she c…

Two-player rationalizable implementation Open

Ritesh Jain, Ville Korpela, Michele Lombardi · 2025

Rationalizable Incentives: Interim Rationalizable Implementation of Correspondences Open

Kunimoto Takashi, Saran Rene, Serrano, Roberto · 2025

When the normative goals for a set of agents can be summarized in a set-valued rule and agents take actions that are rationalizable, a new theory of incentives emerges in which standard Bayesian incentive compatibility (BIC) is relaxed sig…

Rationalizability and Monotonocity in Games with Incomplete Information Open

Joep van Sloun · 2025

This paper examines games with strategic complements or substitutes and incomplete information, where players are uncertain about the opponents' parameters. We assume that the players' beliefs about the opponent's parameters are selected f…

The Role of Attentional Mechanisms in Economic Rationality Open

Koch, Simon Alexander, Tobler, Philippe N., Chung, Hui-Kuan · 2025

Humans constantly make decisions at nearly every moment of their lives, but not always rationally. These irrational choices can have serious consequences such as financial losses (Choi et al., 2014). However, understanding what drives irra…

Part I - CONTRADICTION: the geometry of structural conflict Open

Atkinson James · 2025

This paper introduces a formal theory of contradiction as a measurable diagnostic object in institutional, organisational, and algorithmic systems. Rather than treating contradiction as a logical defect or rhetorical artefact, the framewor…

Interim Correlated Rationalizability in Large Games Open

Łukasz Balbus, Michael Greinecker, Kevin Reffett, Łukasz Woźny · 2025

Part I - CONTRADICTION: the geometry of structural conflict Open

Atkinson James, Atkinson James · 2025

This paper introduces a formal theory of contradiction as a measurable diagnostic object in institutional, organisational, and algorithmic systems. Rather than treating contradiction as a logical defect or rhetorical artefact, the framewor…

On locally rationalizable social choice functions Open

Felix Brandt, Chris Dong · 2024

We consider a notion of rationalizability, where the rationalizing relation may depend on the set of feasible alternatives. More precisely, we say that a choice function is locally rationalizable if it is rationalized by a family of ration…

Rationalizability, Cost-Rationalizability, and Afriat's Efficiency Index Open

Matthew Polisson, John Quah · 2024

This note explains the equivalence between approximate rationalizability and approximate cost-rationalizability within the context of consumer demand. In connection with these results, we interpret Afriat's (1973) critical cost efficiency …

Multidimensional screening after 37 years Open

Jean‐Charles Rochet · 2024

This expository article surveys the literature that has followed my paper “A Necessary and Sufficient Condition for Rationalizability in a Quasi-linear Context” that was published in the Journal of Mathematical Economics in 1987.

Rationalizability, Iterated Dominance, and the Theorems of Radon and Carathéodory Open

Roy Long · 2024

The game theoretic concepts of rationalizability and iterated dominance are closely related and provide characterizations of each other. Indeed, the equivalence between them implies that in a two player finite game, the remaining set of ac…

Level-$k$ Reasoning, Cognitive Hierarchy, and Rationalizability Open

Shuige Liu · 2024

We employ a unified framework to provide an epistemic-theoretical foundation for Camerer, Ho, and Chong's (2003) cognitive hierarchy (CH) solution and its dynamic extension, using the directed rationalizability concept introduced in Battig…

Quantal response equilibrium and rationalizability: Inside the black box Open

Shuige Liu, Fabio Maccheroni · 2024

This paper aims to connect epistemic and behavioral game theory by examining the epistemic foundations of quantal response equilibrium (QRE) in static games. We focus on how much information agents possess about the probability distributio…

Rationalizability in Regular Preference Form Games: Incomplete Information and Higher Order Uncertainty Open

Yasuto Yokota · 2024

Characterization of Unique Rationalizability Under Warp: Completing Arrow (1959) Open

Suat Evren, Hakan Karakus, Ozan Kaymak · 2024

The Computational Complexity of Single-Player Imperfect-Recall Games Open

Emanuel Tewolde, Caspar Oesterheld, Vincent Conitzer, Paul W. Goldberg · 2023

We study single-player extensive-form games with imperfect recall, such as the Sleeping Beauty problem or the Absentminded Driver game. For such games, two natural equilibrium concepts have been proposed as alternative solution concepts to…

Iterated Elimination of Weakly Dominated Strategies in Well-Founded Games Open

Krzysztof R. Apt, Sunil Simon · 2023

Recently, in [K.R. Apt and S. Simon: Well-founded extensive games with perfect information, TARK21], we studied well-founded games, a natural extension of finite extensive games with perfect information in which all plays are finite. We ex…

The Computational Complexity of Single-Player Imperfect-Recall Games Open

Emanuel Tewolde, Caspar Oesterheld, Vincent Conitzer, Paul W. Goldberg · 2023

We study single-player extensive-form games with imperfect recall, such as the Sleeping Beauty problem or the Absentminded Driver game. For such games, two natural equilibrium concepts have been proposed as alternative solution concepts to…

Revealed preferences for dynamically inconsistent models Open

Federico Echenique, Gerelt Tserenjigmid · 2023

We study the testable implications of models of dynamically inconsistent choices when planned choices are unobservable, and thus only "on path" data is available. First, we discuss the approach in Blow, Browning and Crawford (2021), who ch…

Nontransitive Preferences and Stochastic Rationalizability: A Behavioral Equivalence Open

Mogens Fosgerau, John Rehbeck · 2023

Nontransitive choices have long been an area of curiosity within economics. However, determining whether nontransitive choices represent an individual's preference is a difficult task since choice data is inherently stochastic. This paper …

Conditional dominance in games with unawareness Open

Martin Meier, Burkhard C. Schipper · 2023

Heifetz, Meier, and Schipper (2013) introduced dynamic game with unawareness consisting of a partially ordered set of games in extensive form. Here, we study the normal form of dynamic games with unawareness. The generalized normal form as…

Rationalizable behavior in the Hotelling–Downs model of spatial competition Open

Joep van Sloun · 2023

We consider two scenarios of the Hotelling–Downs model of spatial competition. This setting has typically been explored using pure Nash equilibrium, but this paper uses point rationalizability (Bernheim, Econometrica J Economet Soc 52(4):1…

Rational stability of choice functions Open

Josep E. Peris, Begoña Subiza · 2023

Two independent approaches have been used to analyze choices. A prominent notion is rationalizability: individuals choose maximizing binary relations. An alternative is to analyze choices in terms of standards of behavior with the notion o…

Nontransitive Preferences and Stochastic Rationalizability: A Behavioral Equivalence Open

Mogens Fosgerau, John Rehbeck · 2023