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Browsing by Author "Kim, Taesung"

Now showing 1 - 5 of 5
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    Caratheodory-Type Selections and Random Fixed Point Theorems
    (Center for Economic Research, Department of Economics, University of Minnesota, 1985-06) Kim, Taesung; Prikry, Karel; Yannelis, Nicholas C.
    We provide some new Caratheodory-type selection theorems, i.e, selections for correspondences of two variables which are continuous with respect to one variable and measurable with respect to the other. These results generalize simultaneously Michael's [21] continuous selection theorem for lower-semicontinuous correspondences as well as a Caratheodory-type selection theorem of Fryszkowski [10]. Random fixed point theorems (which generalize ordinary fixed point theorems, e.g., Browder's [6]) follow as easy corollaries of our results.
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    Equilibria in Abstract Economies with a Measure Space of Agents and with an Infinite Dimensional Strategy Space
    (Center for Economic Research, Department of Economics, University of Minnesota, 1985-07) Kim, Taesung; Prikry, Karel; Yannelis, Nicholas C.
    The existence of an equilibrium for an abstract economy with a measure space of agents and with an infinite dimensional strategy space is proved. Agent's preferences need not be ordered, i.e., need not be transitive or complete, and therefore need not be representable by utility functions. The proof which follows closely the arguments in Yannelis-Prabhakar [26] is based on a Caratheodory-type selection theorem.
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    Intransitive Indifference and Revealed Preference
    (Center for Economic Research, Department of Economics, University of Minnesota, 1985-01) Kim, Taesung
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    Nontransitive-Nontotal Consumer Theory
    (Center for Economic Research, Department of Economics, University of Minnesota, 1985-11) Kim, Taesung; Richter, Marcel K.
    We show the parallel nature of two approaches to nontransitive or nontotal consumers: through "weak" preferences and through "strict" preferences. This yields specific results (e.g., a new equilibrium existence theorem with weak preferences), general results (a Metatheorem translating between the two approaches), and general concepts (a new notion of "rationality"). We give revealed preference axioms to characterize preferences, and prove equivalences among several axiom systems, showing that the apparent weakness of some axiom systems is illusory. We resolve a Weak Axiom conjecture, and we introduce a new axiom. We prove that our nonclassical consumers generalize classical equilibrium theory.
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    On a Caratheodory-Type Selection Theorem
    (Center for Economic Research, Department of Economics, University of Minnesota, 1985-07) Kim, Taesung; Prikry, Karel; Yannelis, Nicholas C.
    We offer a new Caratheodory-type selection theorems. This result arose naturally from the authors' [9] study of equilibria in abstract economies (generalized games) with a measure space of agents.