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Stable lexicographic rules for shortest path games

For the class of shortest path games, we propose a family of new cost sharing rules satisfying core selection. These rules allocate cost shares to the players according to some lexicographic preference relation. The average of all such lexicographic rules is shown to satisfy many desirable properties (core selection, symmetry, demand additivity,...). Our method relates to what Tijs et. al (2011) refer to as the Alexia value. We propose a procedure allowing to compute these lexicographic allocations for any shortest path game.

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Paper provided by Virginia Polytechnic Institute and State University, Department of Economics in its series Working Papers with number e07-46.

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Length: 16 pages
Date of creation: 2014
Date of revision:
Handle: RePEc:vpi:wpaper:e07-46
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  1. Martin Lettau, 2001. "Consumption, Aggregate Wealth, and Expected Stock Returns," Journal of Finance, American Finance Association, vol. 56(3), pages 815-849, 06.
  2. John Y. Campbell & John Ammer, 1991. "What Moves the Stock and Bond Markets? A Variance Decomposition for Long-Term Asset Returns," NBER Working Papers 3760, National Bureau of Economic Research, Inc.
  3. John H. Cochrane, 2011. "Discount Rates," NBER Working Papers 16972, National Bureau of Economic Research, Inc.
  4. Campbell, John Y, 1991. "A Variance Decomposition for Stock Returns," Economic Journal, Royal Economic Society, vol. 101(405), pages 157-79, March.
  5. John H. Cochrane, 2011. "Presidential Address: Discount Rates," Journal of Finance, American Finance Association, vol. 66(4), pages 1047-1108, 08.
  6. Eric Bahel & Christian Trudeau, 2011. "A Discrete Cost Sharing Model with Technological Cooperation," Working Papers e07-28, Virginia Polytechnic Institute and State University, Department of Economics.
  7. Fama, Eugene F. & French, Kenneth R., 2001. "Disappearing dividends: changing firm characteristics or lower propensity to pay?," Journal of Financial Economics, Elsevier, vol. 60(1), pages 3-43, April.
  8. Rosenthal, Edward C., 2013. "Shortest path games," European Journal of Operational Research, Elsevier, vol. 224(1), pages 132-140.
  9. Tijs, Stef & Borm, Peter & Lohmann, Edwin & Quant, Marieke, 2011. "An average lexicographic value for cooperative games," European Journal of Operational Research, Elsevier, vol. 213(1), pages 210-220, August.
  10. Ekaterini Panopoulou & Koubouros, M. & Malliaropulos, D., 2005. "Long-Run Cash-Flow and Discount-Rate Risks in the Cross-Section of US Returns," Economics, Finance and Accounting Department Working Paper Series n1580505, Department of Economics, Finance and Accounting, National University of Ireland - Maynooth.
  11. John Campbell & Jianping Mei, 1993. "Where do Betas Come From? Asset Price Dynamics and the Sources of Systematic Risk," NBER Working Papers 4329, National Bureau of Economic Research, Inc.
  12. Andrew Ang & Jun Liu, 2004. "How to Discount Cashflows with Time-Varying Expected Returns," Journal of Finance, American Finance Association, vol. 59(6), pages 2745-2783, December.
  13. Tuomo Vuolteenaho, 2002. "What Drives Firm-Level Stock Returns?," Journal of Finance, American Finance Association, vol. 57(1), pages 233-264, 02.
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