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Comparing optimal choices with multi-dimensional action spaces

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  • Barthel, Anne-Christine
  • Hoffmann, Eric

Abstract

This paper introduces ordinal conditions on payoff functions for models with multi-dimensional action spaces which guarantee that the optimal action in one direction is greater than the optimal action in another direction at an optimum. Examples are given to motivate these conditions.

Suggested Citation

  • Barthel, Anne-Christine & Hoffmann, Eric, 2017. "Comparing optimal choices with multi-dimensional action spaces," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 45-50.
    • Handle: RePEc:eee:mateco:v:70:y:2017:i:c:p:45-50
    DOI: 10.1016/j.jmateco.2017.01.009
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    References listed on IDEAS

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    1. John K.-H. Quah & Bruno Strulovici, 2009. "Comparative Statics, Informativeness, and the Interval Dominance Order," Econometrica, Econometric Society, vol. 77(6), pages 1949-1992, November.
    2. Rabah Amir, 2005. "Supermodularity and Complementarity in Economics: An Elementary Survey," Southern Economic Journal, John Wiley & Sons, vol. 71(3), pages 636-660, January.
    3. John K.-H Quah, 2007. "The Comparative Statics of Constrained Optimization Problems," Econometrica, Econometric Society, vol. 75(2), pages 401-431, March.
    4. Natalia Lazzati, 2013. "Comparison of equilibrium actions and payoffs across players in games of strategic complements," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 777-788, November.
    5. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
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    Cited by:

    1. Barthel, Anne-Christine, 2018. "Revisiting the role of elasticity in multiproduct monopoly pricing," Economics Letters, Elsevier, vol. 167(C), pages 120-123.

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    Keywords

    Monotonicity; Quasisupermodularity;

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