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  • All HBS Web  (19)
    • Faculty Publications  (10)

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    • All HBS Web  (19)
      • Faculty Publications  (10)

      by Elon Kohlberg and Abraham NeymanRemove by Elon Kohlberg and Abraham Neyman →

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      • 2020
      • Working Paper

      Demystifying the Math of the Coronavirus

      By: Elon Kohlberg and Abraham Neyman
      We provide an elementary mathematical description of the spread of the coronavirus. We explain two fundamental relationships: How the rate of growth in new infections is determined by the “effective reproductive number” and how the effective reproductive number is... View Details
      Keywords: Coronavirus; Health Pandemics; Mathematical Methods
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      Kohlberg, Elon, and Abraham Neyman. "Demystifying the Math of the Coronavirus." Harvard Business School Working Paper, No. 20-112, April 2020. (Revised May 2020.)
      • Article

      Games of Threats

      By: Elon Kohlberg and Abraham Neyman
      A game of threats on a finite set of players, N, is a function d that assigns a real number to any coalition, S ⊆ N, such that d(S) = -d(N\S). A game of threats is not necessarily a coalitional game as it may fail to satisfy the condition d(Ø) = 0. We show that analogs... View Details
      Keywords: Shapley Value; Coalitional Game; Game Theory; Mathematical Methods
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      Kohlberg, Elon, and Abraham Neyman. "Games of Threats." Games and Economic Behavior 108 (March 2018): 139–145.
      • 2017
      • Working Paper

      Cooperative Strategic Games

      By: Elon Kohlberg and Abraham Neyman
      We examine a solution concept, called the “value," for n-person strategic games. In applications, the value provides an a-priori assessment of the monetary worth of a player's position in a strategic game, comprising not only the player's contribution to the total... View Details
      Keywords: Game Theory
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      Kohlberg, Elon, and Abraham Neyman. "Cooperative Strategic Games." Harvard Business School Working Paper, No. 17-075, February 2017.
      • 2015
      • Working Paper

      The Cooperative Solution of Stochastic Games

      By: Elon Kohlberg and Abraham Neyman
      Building on the work of Nash, Harsanyi, and Shapley, we define a cooperative solution for strategic games that takes account of both the competitive and the cooperative aspects of such games. We prove existence in the general (NTU) case and uniqueness in the TU... View Details
      Keywords: Economics; Game Theory
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      Kohlberg, Elon, and Abraham Neyman. "The Cooperative Solution of Stochastic Games." Harvard Business School Working Paper, No. 15-071, March 2015.
      • 2014
      • Working Paper

      The NTU-Value of Stochastic Games

      By: Elon Kohlberg and Abraham Neyman
      Since the seminal paper of Shapley, the theory of stochastic games has been developed in many different directions. However, there has been practically no work on the interplay between stochastic games and cooperative game theory. Our purpose here is to make a first... View Details
      Keywords: Strategy; Game Theory
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      Kohlberg, Elon, and Abraham Neyman. "The NTU-Value of Stochastic Games." Harvard Business School Working Paper, No. 15-014, September 2014.
      • Article

      A Strong Law of Large Numbers for Nonexpansive Vector-Valued Stochastic Processes

      By: Elon Kohlberg and Abraham Neyman
      Keywords: Law
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      Kohlberg, Elon, and Abraham Neyman. "A Strong Law of Large Numbers for Nonexpansive Vector-Valued Stochastic Processes." Israel Journal of Mathematics 111 (December 1999).
      • April 1983
      • Article

      Convergence in Hilbert's Metric and Convergence in Direction

      By: Elon Kohlberg and Abraham Neyman
      Keywords: Measurement and Metrics
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      Kohlberg, Elon, and Abraham Neyman. "Convergence in Hilbert's Metric and Convergence in Direction." Journal of Mathematical Analysis and Applications 93, no. 1 (April 1983): 104 – 108.
      • November 1981
      • Article

      Asymptotic Behavior of Nonexpansive Mappings in Uniformly Convex Banach Spaces

      By: Elon Kohlberg and Abraham Neyman
      Keywords: Behavior
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      Kohlberg, Elon, and Abraham Neyman. "Asymptotic Behavior of Nonexpansive Mappings in Uniformly Convex Banach Spaces." Art. 88. American Mathematical Monthly 88, no. 9 (November 1981): 698–700.
      • Article

      Asymptotic Behavior of Nonexpansive Mappings in Normed Linear Spaces

      By: Elon Kohlberg and Abraham Neyman
      Keywords: Behavior
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      Kohlberg, Elon, and Abraham Neyman. "Asymptotic Behavior of Nonexpansive Mappings in Normed Linear Spaces." Art. 38. Israel Journal of Mathematics 38, no. 4 (December 1981): 269–275.
      • November 1976
      • Article

      Partial Equilibrium Approach to the Free-Rider Problem

      By: Jerry R. Green, Elon Kohlberg and Jean-Jacques Laffont
      Groves and others have shown that truthful answers concerning preferences for public goods can be elicited as dominant strategies if appropriate tax-subsidies rules are applied. This paper studies the statistical properties of the total revenues generated by one of the... View Details
      Keywords: Problems and Challenges
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      Green, Jerry R., Elon Kohlberg, and Jean-Jacques Laffont. "Partial Equilibrium Approach to the Free-Rider Problem." Journal of Public Economics 6, no. 4 (November 1976): 375–394.
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