The Premiss-Based Approach to Logical Aggregation Franz Dietrich & Philippe Mongin
... on certain propositions, e.g., that smoking is harmful (a), smoking should be banned in public places (b), if smoking is harmful, then it should be banned in public places (a ! b), and so on. Assume further that the collective judgments are obtained by aggregating the individual judgments - this is ...
... on certain propositions, e.g., that smoking is harmful (a), smoking should be banned in public places (b), if smoking is harmful, then it should be banned in public places (a ! b), and so on. Assume further that the collective judgments are obtained by aggregating the individual judgments - this is ...
expected marginal utility approach
... she owns to get into this bet. • It must be that people make decisions by criteria other than maximizing expected monetary payoff. Slide 5 ...
... she owns to get into this bet. • It must be that people make decisions by criteria other than maximizing expected monetary payoff. Slide 5 ...
Automated Theorem Proving - Home ANU
... . . . Constraint Solving: Given: Problem: x 2 = a where x ∈ [1 . . . b] (x variable, a, b parameters) Instance: a = 16, b = 10 Find values for variables such that problem instance is satisfied “Difficult” (often exponential, but restriction to finite domains) First-Order Theorem Proving: Given: Prob ...
... . . . Constraint Solving: Given: Problem: x 2 = a where x ∈ [1 . . . b] (x variable, a, b parameters) Instance: a = 16, b = 10 Find values for variables such that problem instance is satisfied “Difficult” (often exponential, but restriction to finite domains) First-Order Theorem Proving: Given: Prob ...
this PDF file
... q is either prime or composite. If q is a prime, then we have found a prime which is not in the list. If q is a composite, then some prime p divides q. Since none of pi, i = 1, ..., k divides q, we have found a prime which is not in the list. Therefore, there must be infinitely many primes among natu ...
... q is either prime or composite. If q is a prime, then we have found a prime which is not in the list. If q is a composite, then some prime p divides q. Since none of pi, i = 1, ..., k divides q, we have found a prime which is not in the list. Therefore, there must be infinitely many primes among natu ...
L 1 - ComLabGames
... Setting L2 = L3, we see that if a person is indifferent between L1 and L2, then they are also indifferent between L1 and [z L1 +(1-z) L2] for all z in the [0,1] interval. In other words the indifference sets are convex. ...
... Setting L2 = L3, we see that if a person is indifferent between L1 and L2, then they are also indifferent between L1 and [z L1 +(1-z) L2] for all z in the [0,1] interval. In other words the indifference sets are convex. ...
Mechanism Design
... beliefs over other’s types – no reason why this should hold – very strong consequences: in auction model above, if signals correlated, auctioneer can attain efficiency and extract all buyer surplus, even without conditions such as ...
... beliefs over other’s types – no reason why this should hold – very strong consequences: in auction model above, if signals correlated, auctioneer can attain efficiency and extract all buyer surplus, even without conditions such as ...
Chapter 9: Initial Theorems about Axiom System AS1
... Ignoring the implicit universal quantifiers, the main functor of this formula is ‘→’, which is the metalinguistic ‘if…then’ connective. Similarly, ‘&’ is the metalinguistic ‘and’ connective. Translating this into English, we have: if „α, and „α→β, then „β. The remaining occurrence of ‘→’ is under th ...
... Ignoring the implicit universal quantifiers, the main functor of this formula is ‘→’, which is the metalinguistic ‘if…then’ connective. Similarly, ‘&’ is the metalinguistic ‘and’ connective. Translating this into English, we have: if „α, and „α→β, then „β. The remaining occurrence of ‘→’ is under th ...
Lecture Notes on Sequent Calculus
... We have already mentioned that antecedents in sequent proofs are persistent: once an assumption is made, it is henceforth usable above the inference that introduces it. Sequent proofs also obey the important subformula property: if we examine the complete or partial proof above a sequent, we observe ...
... We have already mentioned that antecedents in sequent proofs are persistent: once an assumption is made, it is henceforth usable above the inference that introduces it. Sequent proofs also obey the important subformula property: if we examine the complete or partial proof above a sequent, we observe ...
Overcoming Incentive Constraints by Linking Decisions
... flipping a coin in the event of a tie (a version of May’s (1952) theorem). The inefficiency is that we are not able to discover agents’ intensity of preference in the event of a tied vote. This is not an issue of interpersonal comparisons, but rather intrapersonal comparisons. An agent would be bett ...
... flipping a coin in the event of a tie (a version of May’s (1952) theorem). The inefficiency is that we are not able to discover agents’ intensity of preference in the event of a tied vote. This is not an issue of interpersonal comparisons, but rather intrapersonal comparisons. An agent would be bett ...
Label-free Modular Systems for Classical and Intuitionistic Modal
... inference rules such that cut elimination is preserved. Recently, this goal has been achieved for substructural logics: In [4] it has been unveiled which classes of axioms can be transformed into equivalent structural rules in the sequent calculus, respectively hypersequent calculus, such that the r ...
... inference rules such that cut elimination is preserved. Recently, this goal has been achieved for substructural logics: In [4] it has been unveiled which classes of axioms can be transformed into equivalent structural rules in the sequent calculus, respectively hypersequent calculus, such that the r ...
Label-free Modular Systems for Classical and Intuitionistic Modal
... inference rules such that cut elimination is preserved. Recently, this goal has been achieved for substructural logics: In [4] it has been unveiled which classes of axioms can be transformed into equivalent structural rules in the sequent calculus, respectively hypersequent calculus, such that the r ...
... inference rules such that cut elimination is preserved. Recently, this goal has been achieved for substructural logics: In [4] it has been unveiled which classes of axioms can be transformed into equivalent structural rules in the sequent calculus, respectively hypersequent calculus, such that the r ...
On presenting monotonicity and on EA=>AE (pdf file)
... Monotonicity properties (1)–(3), as well as metatheorem Monotonicity, are wellknown. They can be found, in one guise or another, in several texts on logic. But the two major books that deal with the calculational approach do a bad job of explaining how monotonicity/antimonotonicity is to be used. On ...
... Monotonicity properties (1)–(3), as well as metatheorem Monotonicity, are wellknown. They can be found, in one guise or another, in several texts on logic. But the two major books that deal with the calculational approach do a bad job of explaining how monotonicity/antimonotonicity is to be used. On ...
View PDF - CiteSeerX
... present. This is an interesting problem by itself and has been considered in a number of papers. See, for example, Fuchs [13], Donoho [8], and Candes and Tao [5]. More importantly, the solutions to this “clean” problem shed light on the noisy case. Our result improves the main result given in Candes ...
... present. This is an interesting problem by itself and has been considered in a number of papers. See, for example, Fuchs [13], Donoho [8], and Candes and Tao [5]. More importantly, the solutions to this “clean” problem shed light on the noisy case. Our result improves the main result given in Candes ...
NONSTANDARD MODELS IN RECURSION THEORY
... From its inception, the development of the subject was influenced by both reverse mathematics and higher recursion theory, especially α-recursion theory. On the one hand, measuring the inductive strengths of recursion-theoretic theorems was a program with foundational flavour grounded in the overall ...
... From its inception, the development of the subject was influenced by both reverse mathematics and higher recursion theory, especially α-recursion theory. On the one hand, measuring the inductive strengths of recursion-theoretic theorems was a program with foundational flavour grounded in the overall ...
Preference for Flexibility and Random Choice - IAE-CSIC
... Since the work of Kreps (1979), the literature on menu choice interprets a preference for flexibility as indicating anticipation of uncertain future tastes. Suppose the agent is unsure whether she will prefer a salad or a steak for dinner. She may prefer to keep both options available to accommodate ...
... Since the work of Kreps (1979), the literature on menu choice interprets a preference for flexibility as indicating anticipation of uncertain future tastes. Suppose the agent is unsure whether she will prefer a salad or a steak for dinner. She may prefer to keep both options available to accommodate ...
Tough times, meaningful music, mature performers: popular
... evolutionary mate selection theories (Buss, 1994), and may explain why the most evidence for the ESH comes from ratings of female physical attributes (e.g., Pettijohn & Tesser, 2003). Ecological theory also explains the context variability of preferences for baby-faced and mature facial features. Wh ...
... evolutionary mate selection theories (Buss, 1994), and may explain why the most evidence for the ESH comes from ratings of female physical attributes (e.g., Pettijohn & Tesser, 2003). Ecological theory also explains the context variability of preferences for baby-faced and mature facial features. Wh ...
CMSC 474, Introduction to Game Theory 1. Introduction
... How to reason about games? In single-agent decision theory, look at an optimal strategy Maximize the agent’s expected payoff in its environment ...
... How to reason about games? In single-agent decision theory, look at an optimal strategy Maximize the agent’s expected payoff in its environment ...
When Cocorico was 20 months old - LAMSADE
... Viappiani (2016) studies the connection between scoring rules and distance measures between rankings. In particular, it has been previously known that Borda count is equivalent to finding the ranking that minimize the sum of Spearman distances (defined as the sum of the squares of the displacement o ...
... Viappiani (2016) studies the connection between scoring rules and distance measures between rankings. In particular, it has been previously known that Borda count is equivalent to finding the ranking that minimize the sum of Spearman distances (defined as the sum of the squares of the displacement o ...