Non-additive beliefs and strategic equilibria

DOI10.1006/game.1998.0724zbMath0962.91002OpenAlexW2087821684WikidataQ57918046 ScholiaQ57918046MaRDI QIDQ1973447

Jürgen Eichberger, David Kelsey

Publication date: 11 June 2001

Published in: Games and Economic Behavior (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/game.1998.0724

zbMATH Keywords

uncertaintyconfidencecapacityequilibriumambiguitynon-additive probability

Mathematics Subject Classification ID

Noncooperative games (91A10) Contents, measures, outer measures, capacities (28A12) (n)-person games, (n>2) (91A06)

Related Items

Special issue on ambiguity and strategic interactions in honor of Jürgen Eichberger ⋮ The evolutionary stability of optimism, pessimism, and complete ignorance ⋮ Ambiguity when playing coordination games across cultures ⋮ On the implications of integrating linear tracing procedure with imprecise probabilities ⋮ CONSTITUTIONAL CONSTRAINTS UNDER AMBIGUITY: A GAME-THEORETIC APPROACH ⋮ Dynamic consistency in incomplete information games under ambiguity ⋮ On loss aversion in bimatrix games ⋮ Updating Choquet beliefs ⋮ On indepedence for non-additive measures, with a Fubini theorem ⋮ Capacities with values in compact Hausdorff lattices ⋮ On games and equilibria with coherent lower expectations ⋮ Support notions for belief functions ⋮ Equilibrium under uncertainty with fuzzy payoff ⋮ Non-cooperative games with prospect theory players and dominated strategies ⋮ Games in possibility capacities with payoff expressed by fuzzy integral ⋮ Variational preferences and equilibria in games under ambiguous belief correspondences ⋮ Trembles in extensive games with ambiguity averse players ⋮ Balanced capacities ⋮ An experimental study on the effect of ambiguity in a coordination game ⋮ Ambiguous act equilibria ⋮ Equilibria for games in idempotent measures ⋮ The fog of fraud -- mitigating fraud by strategic ambiguity ⋮ The effect of environmental uncertainty on the tragedy of the commons ⋮ Strategic games beyond expected utility ⋮ Attitudes toward uncertainty and randomization: an experimental study ⋮ Are the treasures of game theory ambiguous? ⋮ Risk, ambiguity, and state-preference theory ⋮ Unnamed Item ⋮ Uncertainty aversion and equilibrium existence in games with incomplete information ⋮ Iterated Choquet expectations: a possibility result ⋮ Idempotent convexity and algebras for the capacity monad and its submonads ⋮ A limit theorem for equilibria under ambiguous belief correspondences ⋮ Nash equilibria for games in capacities ⋮ Granny versus game theorist: Ambiguity in experimental games ⋮ Ambiguous games without a state space and full rationality ⋮ Ellsberg games ⋮ Kuhn's theorem for extensive form Ellsberg games ⋮ Coherent Dempster-Shafer equilibrium and ambiguous signals ⋮ Game-theoretic modeling of players' ambiguities on external factors ⋮ Choice under uncertainty with the best and worst in mind: Neo-additive capacities ⋮ Irrationality and ambiguity in extensive games ⋮ A strategic product for belief functions ⋮ OPTIMISM AND PESSIMISM IN GAMES ⋮ Non-additive anonymous games ⋮ Agreement and stochastic independence of belief functions ⋮ Nonlinear dynamics in a Cournot duopoly with different attitudes towards strategic uncertainty ⋮ Rank-dominant strategy and sincere voting ⋮ Zero-sum games with ambiguity ⋮ Games in context: equilibrium under ambiguity for belief functions ⋮ Strategic games with security and potential level players ⋮ Equilibrium under uncertainty with Sugeno payoff ⋮ Solution concepts for games with ambiguous payoffs ⋮ SHACKLE AND MODERN DECISION THEORY ⋮ Correlated Nash equilibrium ⋮ On the convexity of preferences in decisions and games under (quasi-)convex/concave imprecise probability correspondences ⋮ Possibilistic randomisation in strategic-form games ⋮ Purification and disambiguation of Ellsberg equilibria ⋮ Strategic uncertainty and equilibrium selection in discontinuous games ⋮ Ambiguous games ⋮ Psychological Nash equilibria under ambiguity ⋮ Strategic complements, substitutes, and Ambiguity: the implications for public goods. ⋮ Correlated equilibrium under uncertainty

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equilibrium without independence
• Expected utility with purely subjective non-additive probabilities
• Maxmin expected utility with non-unique prior
• The product of capacities and belief functions
• \(E\)-capacities and the Ellsberg paradox
• Additive representations of non-additive measures and the Choquet integral
• Nash equilibrium under Knightian uncertainty: Breaking down backward induction
• On indepedence for non-additive measures, with a Fubini theorem
• Equilibrium in beliefs under uncertainty
• Nash equilibrium with lower probabilities
• Ambiguous games
• Uncertainty aversion and preference for randomisation
• Risk, Ambiguity, and the Savage Axioms
• Lexicographic Probabilities and Equilibrium Refinements
• Lexicographic Probabilities and Choice Under Uncertainty
• Subjective Probability and Expected Utility without Additivity
• Uncertainty Aversion, Risk Aversion, and the Optimal Choice of Portfolio
• A Simple Axiomatization of Nonadditive Expected Utility
• Adaptive Dynamics in Coordination Games