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We show that under suitable assumption on the number of states and the distribution of the population numbers of the states, bias of various methods of apportionment can be quantified. We also discuss the frequency of quota violations and occurrences of the Alabama Paradox. The results provide...
Persistent link: https://www.econbiz.de/10013216713
A game-theoretic framework that allows for explicitly randomized strategies is used to study the effect of ambiguity aversion on equilibrium outcomes. The notions of "independent strategies" as well as of "common priors" are amended to render them applicable to games in which players lack...
Persistent link: https://www.econbiz.de/10003947388
unilateral profit splitting and is suggested by the application of Shapley value theory to the fair and equitable division of …
Persistent link: https://www.econbiz.de/10012595108
We study the problem of elicitation of subjective beliefs of an agent when the beliefs are ambiguous (the set of beliefs is a non-singleton set) and the agent's preference exhibits ambiguity aversion; in particular, as represented by alpha-maxmin preferences. We construct a direct revelation...
Persistent link: https://www.econbiz.de/10012969749
The paper studies when efficient allocations are implementable via coalition-proof mechanisms. When ambiguous mechanisms are allowed and agents are maxmin expected utility maximizers, we prove that all efficient allocations are implementable via interim coalition incentive compatible mechanisms...
Persistent link: https://www.econbiz.de/10013242607
This chapter reviews developments in the theory of decision making under risk and uncertainty, focusing on models that … “linearity in the probabilities” aspect of expected utility theory to game theory. The chapter consists of two main parts: The …-dependent utility models and cumulative prospect theory. The second part reviews theories of decision making under uncertainty that …
Persistent link: https://www.econbiz.de/10014025442
We introduce and analyze three definitions of equilibrium for finite extensive games with imperfect information and ambiguity averse players. In a setting where players' preferences are represented by maxmin expected utility, as characterized in Gilboa and Schmeidler (1989), our definitions...
Persistent link: https://www.econbiz.de/10013064382
In this paper, we present a model of finitely repeated games in which players can strategically make use of objective ambiguity. In each round of a finite rep- etition of a finite stage-game, in addition to the classic pure and mixed actions, players can employ objectively ambiguous actions by...
Persistent link: https://www.econbiz.de/10011891363
We report on an experiment in which subjects choose actions in strategic games with either strategic complements or substitutes against a granny, a game theorist or other subjects. The games are selected in order to test predictions on the comparative statics of equilibrium with respect to...
Persistent link: https://www.econbiz.de/10014055594
Ambiguous language is ubiquitous and often deliberate. Recent theoretical work (Beauchêne et al., 2019; Bose and Renou, 2014; Kellner and Le Quement, 2018) has shown how language ambiguation can improve outcomes by mitigating conflict of interest. Our experiment finds a significant effect of language...
Persistent link: https://www.econbiz.de/10012387552