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Multi-portfolio Optimization: A Potential Game Approach

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Game Theory for Networks (GameNets 2011)

Abstract

Trades from separately managed accounts are usually pooled together for execution and the transaction cost for a given account may depend on the overall level of trading. Multi-portfolio optimization is a technique for combing multiple accounts at the same time, considering their joint effects while adhering to account-specific constraints. In this paper, we model multi-portfolio optimization as a game problem and adopt as a desirable objective the concept of Nash Equilibrium (NE). By formulating the game problem as a potential game, we are able to provide a complete characterization of NE and derive iterative algorithms with a distributed nature and satisfactory convergence property.

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References

  1. Markovitz, H.: Portfolio selection. Journal of Finance 7(1), 77–91 (1952)

    Google Scholar 

  2. Markowitz, H.M.: Portfolio selection: Efficient diversification of investments. Wiley (1959)

    Google Scholar 

  3. Monderer, D., Shapley, L.S.: Potential games. Games and Economic Behavior 14, 124–143 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  4. Nash, J.: Non–cooperative games. Annals of Mathematics 54(2), 286–295 (1951)

    Article  MathSciNet  MATH  Google Scholar 

  5. O’Cinneide, C., Scherer, B., Xu, X.: Pooling trades in a quantitative investment process. The Journal of Portfolio Management 32(4), 33–43 (2006)

    Article  Google Scholar 

  6. Pang, J.S., Scutari, G., Palomar, D., Facchinei, F.: Design of cognitive radio systems under temperature-interference constraints: A variational inequality approach. IEEE Transactions on Signal Processing 58(6), 3251–3271 (2010)

    Article  MathSciNet  Google Scholar 

  7. Savelsbergh, M.W.P., Stubbs, R.A., Vandenbussche, D.: Multiportfolio optimization: A natural next step. In: Guerard, J.B. (ed.) Handbook of Portfolio Construction, pp. 565–581. Springer, US (2010)

    Chapter  Google Scholar 

  8. Scutari, G., Barbarossa, S., Palomar, D.: Potential games: A framework for vector power control problems with coupled constraints. In: ICASSP 2006 Proceedings, vol. 4 (2006)

    Google Scholar 

  9. Scutari, G., Facchinei, F., Pang, J.S., Palomar, D.P.: Monotone communication games: Theory, algorithms, and models. Submitted to IEEE Transactions on nformation Theory (2010)

    Google Scholar 

  10. Yang, Y., Rubio, F., Scutari, G., Palomar, D.: Multi-portfolio optimization: A potential game approach (2011) (in preparation)

    Google Scholar 

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© 2012 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering

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Yang, Y., Rubio, F., Scutari, G., Palomar, D. (2012). Multi-portfolio Optimization: A Potential Game Approach. In: Jain, R., Kannan, R. (eds) Game Theory for Networks. GameNets 2011. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 75. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30373-9_13

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  • DOI: https://doi.org/10.1007/978-3-642-30373-9_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30372-2

  • Online ISBN: 978-3-642-30373-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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